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476,304

476,304 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.).

476,304 (four hundred seventy-six thousand three hundred four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 9,923. Its proper divisors sum to 754,272, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74490.

Abundant Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
403,674
Square (n²)
226,865,500,416
Cube (n³)
108,056,945,310,142,464
Divisor count
20
σ(n) — sum of divisors
1,230,576
φ(n) — Euler's totient
158,752
Sum of prime factors
9,934

Primality

Prime factorization: 2 4 × 3 × 9923

Nearest primes: 476,299 (−5) · 476,317 (+13)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 9923 · 19846 · 29769 · 39692 · 59538 · 79384 · 119076 · 158768 · 238152 (half) · 476304
Aliquot sum (sum of proper divisors): 754,272
Factor pairs (a × b = 476,304)
1 × 476304
2 × 238152
3 × 158768
4 × 119076
6 × 79384
8 × 59538
12 × 39692
16 × 29769
24 × 19846
48 × 9923
First multiples
476,304 · 952,608 (double) · 1,428,912 · 1,905,216 · 2,381,520 · 2,857,824 · 3,334,128 · 3,810,432 · 4,286,736 · 4,763,040

Sums & aliquot sequence

As consecutive integers: 158,767 + 158,768 + 158,769 14,869 + 14,870 + … + 14,900 4,914 + 4,915 + … + 5,009
Aliquot sequence: 476,304 754,272 1,493,064 2,613,636 4,083,964 3,062,980 3,592,340 4,096,180 5,528,204 5,025,724 4,568,924 3,536,740 3,939,092 2,979,904 3,004,844 2,485,396 1,905,452 — unresolved within range

Continued fraction of √n

√476,304 = [690; (6, 1, 3, 3, 1, 4, 91, 1, 4, 3, 1, 6, 9, 1, 1, 54, 1, 2, 5, 2, 3, 1, 1, 1, …)]

Representations

In words
four hundred seventy-six thousand three hundred four
Ordinal
476304th
Binary
1110100010010010000
Octal
1642220
Hexadecimal
0x74490
Base64
B0SQ
One's complement
4,294,490,991 (32-bit)
Scientific notation
4.76304 × 10⁵
As a duration
476,304 s = 5 days, 12 hours, 18 minutes, 24 seconds
In other bases
ternary (3) 220012100220
quaternary (4) 1310102100
quinary (5) 110220204
senary (6) 14113040
septenary (7) 4022433
nonary (9) 805326
undecimal (11) 2a5944
duodecimal (12) 1ab780
tridecimal (13) 138a4a
tetradecimal (14) c581a
pentadecimal (15) 961d9

As an angle

476,304° = 1,323 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοϛτδʹ
Chinese
四十七萬六千三百零四
Chinese (financial)
肆拾柒萬陸仟參佰零肆
In other modern scripts
Eastern Arabic ٤٧٦٣٠٤ Devanagari ४७६३०४ Bengali ৪৭৬৩০৪ Tamil ௪௭௬௩௦௪ Thai ๔๗๖๓๐๔ Tibetan ༤༧༦༣༠༤ Khmer ៤៧៦៣០៤ Lao ໔໗໖໓໐໔ Burmese ၄၇၆၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 476304, here are decompositions:

  • 5 + 476299 = 476304
  • 61 + 476243 = 476304
  • 67 + 476237 = 476304
  • 71 + 476233 = 476304
  • 137 + 476167 = 476304
  • 167 + 476137 = 476304
  • 193 + 476111 = 476304
  • 197 + 476107 = 476304

Showing the first eight; more decompositions exist.

Hex color
#074490
RGB(7, 68, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.68.144.

Address
0.7.68.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.68.144

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 476,304 and was likely granted around 1892.

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

Position in π

The digit sequence 476304 first appears in π at position 15,362 of the decimal expansion (the 15,362ordinal-suffix:nd 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°.