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31,471,200

31,471,200 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

31,471,200 (thirty-one million four hundred seventy-one thousand two hundred) is an even 8-digit number. It is a composite number with 288 divisors, and factors as 2⁵ × 3³ × 5² × 31 × 47. Its proper divisors sum to 88,521,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E03660.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
8
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
25 bits
Reversed
217,413
Square (n²)
990,436,429,440,000
Divisor count
288
σ(n) — sum of divisors
119,992,320
φ(n) — Euler's totient
7,948,800
Sum of prime factors
107

Primality

Prime factorization: 2 5 × 3 3 × 5 2 × 31 × 47

Nearest primes: 31,471,171 (−29) · 31,471,207 (+7)

Divisors & multiples

All divisors (288)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 25 · 27 · 30 · 31 · 32 · 36 · 40 · 45 · 47 · 48 · 50 · 54 · 60 · 62 · 72 · 75 · 80 · 90 · 93 · 94 · 96 · 100 · 108 · 120 · 124 · 135 · 141 · 144 · 150 · 155 · 160 · 180 · 186 · 188 · 200 · 216 · 225 · 235 · 240 · 248 · 270 · 279 · 282 · 288 · 300 · 310 · 360 · 372 · 376 · 400 · 423 · 432 · 450 · 465 · 470 · 480 · 496 · 540 · 558 · 564 · 600 · 620 · 675 · 705 · 720 · 744 · 752 · 775 · 800 · 837 · 846 · 864 · 900 · 930 · 940 · 992 · 1080 · 1116 · 1128 · 1175 · 1200 · 1240 · 1269 · 1350 · 1395 · 1410 · 1440 · 1457 · 1488 · 1504 · 1550 · 1674 · 1692 · 1800 · 1860 · 1880 · 2115 · 2160 · 2232 · 2256 · 2325 · 2350 · 2400 · 2480 · 2538 · 2700 · 2790 · 2820 · 2914 · 2976 · 3100 · 3348 · 3384 · 3525 · 3600 · 3720 · 3760 · 4185 · 4230 · 4320 · 4371 · 4464 · 4512 · 4650 · 4700 · 4960 · 5076 · 5400 · 5580 · 5640 · 5828 · 6200 · 6345 · 6696 · 6768 · 6975 · 7050 · 7200 · 7285 · 7440 · 7520 · 8370 · 8460 · 8742 · 8928 · 9300 · 9400 · 10152 · 10575 · 10800 · 11160 · 11280 · 11656 · 12400 · 12690 · 13113 · 13392 · 13536 · 13950 · 14100 · 14570 · 14880 · 16740 · 16920 · 17484 · 18600 · 18800 · 20304 · 20925 · 21150 · 21600 · 21855 · 22320 · 22560 · 23312 · 24800 · 25380 · 26226 · 26784 · 27900 · 28200 · 29140 · 31725 · 33480 · 33840 · 34968 · 36425 · 37200 · 37600 · 39339 · 40608 · 41850 · 42300 · 43710 · 44640 · 46624 · 50760 · 52452 · 55800 · 56400 · 58280 · 63450 · 65565 · 66960 · 67680 · 69936 · 72850 · 74400 · 78678 · 83700 · 84600 · 87420 · 101520 · 104904 · 109275 · 111600 · 112800 · 116560 · 126900 · 131130 · 133920 · 139872 · 145700 · 157356 · 167400 · 169200 · 174840 · 196695 · 203040 · 209808 · 218550 · 223200 · 233120 · 253800 · 262260 · 291400 · 314712 · 327825 · 334800 · 338400 · 349680 · 393390 · 419616 · 437100 · 507600 · 524520 · 582800 · 629424 · 655650 · 669600 · 699360 · 786780 · 874200 · 983475 · 1015200 · 1049040 · 1165600 · 1258848 · 1311300 · 1573560 · 1748400 · 1966950 · 2098080 · 2622600 · 3147120 · 3496800 · 3933900 · 5245200 · 6294240 · 7867800 · 10490400 · 15735600 (half) · 31471200
Aliquot sum (sum of proper divisors): 88,521,120
Factor pairs (a × b = 31,471,200)
1 × 31471200
2 × 15735600
3 × 10490400
4 × 7867800
5 × 6294240
6 × 5245200
8 × 3933900
9 × 3496800
10 × 3147120
12 × 2622600
15 × 2098080
16 × 1966950
18 × 1748400
20 × 1573560
24 × 1311300
25 × 1258848
27 × 1165600
30 × 1049040
31 × 1015200
32 × 983475
36 × 874200
40 × 786780
45 × 699360
47 × 669600
48 × 655650
50 × 629424
54 × 582800
60 × 524520
62 × 507600
72 × 437100
75 × 419616
80 × 393390
90 × 349680
93 × 338400
94 × 334800
96 × 327825
100 × 314712
108 × 291400
120 × 262260
124 × 253800
135 × 233120
141 × 223200
144 × 218550
150 × 209808
155 × 203040
160 × 196695
180 × 174840
186 × 169200
188 × 167400
200 × 157356
216 × 145700
225 × 139872
235 × 133920
240 × 131130
248 × 126900
270 × 116560
279 × 112800
282 × 111600
288 × 109275
300 × 104904
310 × 101520
360 × 87420
372 × 84600
376 × 83700
400 × 78678
423 × 74400
432 × 72850
450 × 69936
465 × 67680
470 × 66960
480 × 65565
496 × 63450
540 × 58280
558 × 56400
564 × 55800
600 × 52452
620 × 50760
675 × 46624
705 × 44640
720 × 43710
744 × 42300
752 × 41850
775 × 40608
800 × 39339
837 × 37600
846 × 37200
864 × 36425
900 × 34968
930 × 33840
940 × 33480
992 × 31725
1080 × 29140
1116 × 28200
1128 × 27900
1175 × 26784
1200 × 26226
1240 × 25380
1269 × 24800
1350 × 23312
1395 × 22560
1410 × 22320
1440 × 21855
1457 × 21600
1488 × 21150
1504 × 20925
1550 × 20304
1674 × 18800
1692 × 18600
1800 × 17484
1860 × 16920
1880 × 16740
2115 × 14880
2160 × 14570
2232 × 14100
2256 × 13950
2325 × 13536
2350 × 13392
2400 × 13113
2480 × 12690
2538 × 12400
2700 × 11656
2790 × 11280
2820 × 11160
2914 × 10800
2976 × 10575
3100 × 10152
3348 × 9400
3384 × 9300
3525 × 8928
3600 × 8742
3720 × 8460
3760 × 8370
4185 × 7520
4230 × 7440
4320 × 7285
4371 × 7200
4464 × 7050
4512 × 6975
4650 × 6768
4700 × 6696
4960 × 6345
5076 × 6200
5400 × 5828
5580 × 5640
First multiples
31,471,200 · 62,942,400 (double) · 94,413,600 · 125,884,800 · 157,356,000 · 188,827,200 · 220,298,400 · 251,769,600 · 283,240,800 · 314,712,000

Sums & aliquot sequence

As consecutive integers: 10,490,399 + 10,490,400 + 10,490,401 6,294,238 + 6,294,239 + 6,294,240 + 6,294,241 + 6,294,242 3,496,796 + 3,496,797 + … + 3,496,804 2,098,073 + 2,098,074 + … + 2,098,087
Aliquot sequence: 31,471,200 88,521,120 231,780,960 579,467,520 1,593,026,496 2,973,097,976 2,603,598,664 2,278,148,846 1,237,871,074 854,370,590 683,496,490 566,026,070 464,220,490 371,376,410 297,101,146 189,987,494 94,993,750 — unresolved within range

Continued fraction of √n

√31,471,200 = [5609; (1, 11, 2, 6, 1, 48, 1, 2803, 1, 48, 1, 6, 2, 11, 1, 11218)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
thirty-one million four hundred seventy-one thousand two hundred
Ordinal
31471200th
Binary
1111000000011011001100000
Octal
170033140
Hexadecimal
0x1E03660
Base64
AeA2YA==
One's complement
4,263,496,095 (32-bit)
Scientific notation
3.14712 × 10⁷
As a duration
31,471,200 s = 364 days, 6 hours
In other bases
ternary (3) 2012012220101000
quaternary (4) 1320003121200
quinary (5) 31024034300
senary (6) 3042312000
septenary (7) 531333525
nonary (9) 65186330
undecimal (11) 16845862
duodecimal (12) a658600
tridecimal (13) 669b817
tetradecimal (14) 427314c
pentadecimal (15) 2b69c00

As an angle

31,471,200° = 87,420 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Chinese
三千一百四十七萬一千二百
Chinese (financial)
參仟壹佰肆拾柒萬壹仟貳佰
In other modern scripts
Eastern Arabic ٣١٤٧١٢٠٠ Devanagari ३१४७१२०० Bengali ৩১৪৭১২০০ Tamil ௩௧௪௭௧௨௦௦ Thai ๓๑๔๗๑๒๐๐ Tibetan ༣༡༤༧༡༢༠༠ Khmer ៣១៤៧១២០០ Lao ໓໑໔໗໑໒໐໐ Burmese ၃၁၄၇၁၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 31471200, here are decompositions:

  • 29 + 31471171 = 31471200
  • 53 + 31471147 = 31471200
  • 107 + 31471093 = 31471200
  • 109 + 31471091 = 31471200
  • 149 + 31471051 = 31471200
  • 157 + 31471043 = 31471200
  • 193 + 31471007 = 31471200
  • 199 + 31471001 = 31471200

Showing the first eight; more decompositions exist.

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 1.224.54.96.

Address
1.224.54.96
Class
public
IPv4-mapped IPv6
::ffff:1.224.54.96

Public, routable address (assignable to a host on the internet).

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
031471200
Federal Reserve
Federal Reserve district 3 (Philadelphia)

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.