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472,340

472,340 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.).

472,340 (four hundred seventy-two thousand three hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 11 × 19 × 113. Its proper divisors sum to 676,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73514.

Abundant Number Arithmetic Number Cube-Free Happy Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
43,274
Square (n²)
223,105,075,600
Cube (n³)
105,381,451,408,904,000
Divisor count
48
σ(n) — sum of divisors
1,149,120
φ(n) — Euler's totient
161,280
Sum of prime factors
152

Primality

Prime factorization: 2 2 × 5 × 11 × 19 × 113

Nearest primes: 472,333 (−7) · 472,349 (+9)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 10 · 11 · 19 · 20 · 22 · 38 · 44 · 55 · 76 · 95 · 110 · 113 · 190 · 209 · 220 · 226 · 380 · 418 · 452 · 565 · 836 · 1045 · 1130 · 1243 · 2090 · 2147 · 2260 · 2486 · 4180 · 4294 · 4972 · 6215 · 8588 · 10735 · 12430 · 21470 · 23617 · 24860 · 42940 · 47234 · 94468 · 118085 · 236170 (half) · 472340
Aliquot sum (sum of proper divisors): 676,780
Factor pairs (a × b = 472,340)
1 × 472340
2 × 236170
4 × 118085
5 × 94468
10 × 47234
11 × 42940
19 × 24860
20 × 23617
22 × 21470
38 × 12430
44 × 10735
55 × 8588
76 × 6215
95 × 4972
110 × 4294
113 × 4180
190 × 2486
209 × 2260
220 × 2147
226 × 2090
380 × 1243
418 × 1130
452 × 1045
565 × 836
First multiples
472,340 · 944,680 (double) · 1,417,020 · 1,889,360 · 2,361,700 · 2,834,040 · 3,306,380 · 3,778,720 · 4,251,060 · 4,723,400

Sums & aliquot sequence

As consecutive integers: 94,466 + 94,467 + 94,468 + 94,469 + 94,470 59,039 + 59,040 + … + 59,046 42,935 + 42,936 + … + 42,945 24,851 + 24,852 + … + 24,869
Aliquot sequence: 472,340 676,780 946,100 1,107,154 561,194 280,600 411,320 737,800 1,404,920 2,189,320 3,546,020 3,900,664 3,468,536 3,055,264 2,998,784 2,993,950 2,574,890 — unresolved within range

Continued fraction of √n

√472,340 = [687; (3, 1, 2, 2, 1, 1, 1, 1, 1, 30, 1, 1, 1, 1, 1, 2, 2, 1, 3, 1374)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-two thousand three hundred forty
Ordinal
472340th
Binary
1110011010100010100
Octal
1632424
Hexadecimal
0x73514
Base64
BzUU
One's complement
4,294,494,955 (32-bit)
Scientific notation
4.7234 × 10⁵
As a duration
472,340 s = 5 days, 11 hours, 12 minutes, 20 seconds
In other bases
ternary (3) 212222221002
quaternary (4) 1303110110
quinary (5) 110103330
senary (6) 14042432
septenary (7) 4005041
nonary (9) 788832
undecimal (11) 2a2970
duodecimal (12) 1a9418
tridecimal (13) 136cbb
tetradecimal (14) c41c8
pentadecimal (15) 94e45

As an angle

472,340° = 1,312 × 360° + 20°
20° ≈ 0.349 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοβτμʹ
Chinese
四十七萬二千三百四十
Chinese (financial)
肆拾柒萬貳仟參佰肆拾
In other modern scripts
Eastern Arabic ٤٧٢٣٤٠ Devanagari ४७२३४० Bengali ৪৭২৩৪০ Tamil ௪௭௨௩௪௦ Thai ๔๗๒๓๔๐ Tibetan ༤༧༢༣༤༠ Khmer ៤៧២៣៤០ Lao ໔໗໒໓໔໐ Burmese ၄၇၂၃၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472340, here are decompositions:

  • 7 + 472333 = 472340
  • 31 + 472309 = 472340
  • 67 + 472273 = 472340
  • 79 + 472261 = 472340
  • 151 + 472189 = 472340
  • 181 + 472159 = 472340
  • 229 + 472111 = 472340
  • 277 + 472063 = 472340

Showing the first eight; more decompositions exist.

Hex color
#073514
RGB(7, 53, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.20.

Address
0.7.53.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.53.20

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 472,340 and was likely granted around 1891.

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

Position in π

The digit sequence 472340 first appears in π at position 183,841 of the decimal expansion (the 183,841ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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