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474,240

474,240 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.).

474,240 (four hundred seventy-four thousand two hundred forty) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2⁷ × 3 × 5 × 13 × 19. Its proper divisors sum to 1,239,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73C80.

Abundant Number Evil Number Gapful Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
42,474
Square (n²)
224,903,577,600
Cube (n³)
106,658,272,641,024,000
Divisor count
128
σ(n) — sum of divisors
1,713,600
φ(n) — Euler's totient
110,592
Sum of prime factors
54

Primality

Prime factorization: 2 7 × 3 × 5 × 13 × 19

Nearest primes: 474,223 (−17) · 474,241 (+1)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 16 · 19 · 20 · 24 · 26 · 30 · 32 · 38 · 39 · 40 · 48 · 52 · 57 · 60 · 64 · 65 · 76 · 78 · 80 · 95 · 96 · 104 · 114 · 120 · 128 · 130 · 152 · 156 · 160 · 190 · 192 · 195 · 208 · 228 · 240 · 247 · 260 · 285 · 304 · 312 · 320 · 380 · 384 · 390 · 416 · 456 · 480 · 494 · 520 · 570 · 608 · 624 · 640 · 741 · 760 · 780 · 832 · 912 · 960 · 988 · 1040 · 1140 · 1216 · 1235 · 1248 · 1482 · 1520 · 1560 · 1664 · 1824 · 1920 · 1976 · 2080 · 2280 · 2432 · 2470 · 2496 · 2964 · 3040 · 3120 · 3648 · 3705 · 3952 · 4160 · 4560 · 4940 · 4992 · 5928 · 6080 · 6240 · 7296 · 7410 · 7904 · 8320 · 9120 · 9880 · 11856 · 12160 · 12480 · 14820 · 15808 · 18240 · 19760 · 23712 · 24960 · 29640 · 31616 · 36480 · 39520 · 47424 · 59280 · 79040 · 94848 · 118560 · 158080 · 237120 (half) · 474240
Aliquot sum (sum of proper divisors): 1,239,360
Factor pairs (a × b = 474,240)
1 × 474240
2 × 237120
3 × 158080
4 × 118560
5 × 94848
6 × 79040
8 × 59280
10 × 47424
12 × 39520
13 × 36480
15 × 31616
16 × 29640
19 × 24960
20 × 23712
24 × 19760
26 × 18240
30 × 15808
32 × 14820
38 × 12480
39 × 12160
40 × 11856
48 × 9880
52 × 9120
57 × 8320
60 × 7904
64 × 7410
65 × 7296
76 × 6240
78 × 6080
80 × 5928
95 × 4992
96 × 4940
104 × 4560
114 × 4160
120 × 3952
128 × 3705
130 × 3648
152 × 3120
156 × 3040
160 × 2964
190 × 2496
192 × 2470
195 × 2432
208 × 2280
228 × 2080
240 × 1976
247 × 1920
260 × 1824
285 × 1664
304 × 1560
312 × 1520
320 × 1482
380 × 1248
384 × 1235
390 × 1216
416 × 1140
456 × 1040
480 × 988
494 × 960
520 × 912
570 × 832
608 × 780
624 × 760
640 × 741
First multiples
474,240 · 948,480 (double) · 1,422,720 · 1,896,960 · 2,371,200 · 2,845,440 · 3,319,680 · 3,793,920 · 4,268,160 · 4,742,400

Sums & aliquot sequence

As consecutive integers: 158,079 + 158,080 + 158,081 94,846 + 94,847 + 94,848 + 94,849 + 94,850 36,474 + 36,475 + … + 36,486 31,609 + 31,610 + … + 31,623
Aliquot sequence: 474,240 1,239,360 2,698,656 4,385,568 8,176,128 13,609,680 34,613,424 62,256,492 109,022,868 181,278,892 135,959,176 121,440,824 108,351,376 148,775,024 156,433,120 229,217,600 334,804,894 — unresolved within range

Continued fraction of √n

√474,240 = [688; (1, 1, 1, 6, 2, 1, 3, 2, 3, 85, 1, 3, 1, 3, 2, 27, 1, 1, 1, 343, 1, 1, 1, 27, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-four thousand two hundred forty
Ordinal
474240th
Binary
1110011110010000000
Octal
1636200
Hexadecimal
0x73C80
Base64
BzyA
One's complement
4,294,493,055 (32-bit)
Scientific notation
4.7424 × 10⁵
As a duration
474,240 s = 5 days, 11 hours, 44 minutes
In other bases
ternary (3) 220002112110
quaternary (4) 1303302000
quinary (5) 110133430
senary (6) 14055320
septenary (7) 4013424
nonary (9) 802473
undecimal (11) 2a4338
duodecimal (12) 1aa540
tridecimal (13) 137b20
tetradecimal (14) c4b84
pentadecimal (15) 957b0

As an angle

474,240° = 1,317 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοδσμʹ
Chinese
四十七萬四千二百四十
Chinese (financial)
肆拾柒萬肆仟貳佰肆拾
In other modern scripts
Eastern Arabic ٤٧٤٢٤٠ Devanagari ४७४२४० Bengali ৪৭৪২৪০ Tamil ௪௭௪௨௪௦ Thai ๔๗๔๒๔๐ Tibetan ༤༧༤༢༤༠ Khmer ៤៧៤២៤០ Lao ໔໗໔໒໔໐ Burmese ၄၇၄၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474240, here are decompositions:

  • 17 + 474223 = 474240
  • 29 + 474211 = 474240
  • 43 + 474197 = 474240
  • 71 + 474169 = 474240
  • 89 + 474151 = 474240
  • 97 + 474143 = 474240
  • 103 + 474137 = 474240
  • 113 + 474127 = 474240

Showing the first eight; more decompositions exist.

Hex color
#073C80
RGB(7, 60, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.60.128.

Address
0.7.60.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.60.128

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 474,240 and was likely granted around 1892.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.