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476,328

476,328 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.).

476,328 (four hundred seventy-six thousand three hundred twenty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 89 × 223. Its proper divisors sum to 733,272, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x744A8.

Abundant Number Arithmetic Number Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
8,064
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
823,674
Square (n²)
226,888,363,584
Cube (n³)
108,073,280,449,239,552
Divisor count
32
σ(n) — sum of divisors
1,209,600
φ(n) — Euler's totient
156,288
Sum of prime factors
321

Primality

Prime factorization: 2 3 × 3 × 89 × 223

Nearest primes: 476,317 (−11) · 476,347 (+19)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 89 · 178 · 223 · 267 · 356 · 446 · 534 · 669 · 712 · 892 · 1068 · 1338 · 1784 · 2136 · 2676 · 5352 · 19847 · 39694 · 59541 · 79388 · 119082 · 158776 · 238164 (half) · 476328
Aliquot sum (sum of proper divisors): 733,272
Factor pairs (a × b = 476,328)
1 × 476328
2 × 238164
3 × 158776
4 × 119082
6 × 79388
8 × 59541
12 × 39694
24 × 19847
89 × 5352
178 × 2676
223 × 2136
267 × 1784
356 × 1338
446 × 1068
534 × 892
669 × 712
First multiples
476,328 · 952,656 (double) · 1,428,984 · 1,905,312 · 2,381,640 · 2,857,968 · 3,334,296 · 3,810,624 · 4,286,952 · 4,763,280

Sums & aliquot sequence

As consecutive integers: 158,775 + 158,776 + 158,777 29,763 + 29,764 + … + 29,778 9,900 + 9,901 + … + 9,947 5,308 + 5,309 + … + 5,396
Aliquot sequence: 476,328 733,272 1,099,968 1,990,704 3,237,136 4,060,574 2,900,434 1,479,866 884,038 442,022 315,754 157,880 197,440 273,476 273,532 273,588 456,204 — unresolved within range

Continued fraction of √n

√476,328 = [690; (6, 18, 1, 2, 1, 7, 19, 3, 4, 1, 11, 1, 1, 1, 1, 1, 7, 1, 1, 1, 3, 1, 3, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-six thousand three hundred twenty-eight
Ordinal
476328th
Binary
1110100010010101000
Octal
1642250
Hexadecimal
0x744A8
Base64
B0So
One's complement
4,294,490,967 (32-bit)
Scientific notation
4.76328 × 10⁵
As a duration
476,328 s = 5 days, 12 hours, 18 minutes, 48 seconds
In other bases
ternary (3) 220012101210
quaternary (4) 1310102220
quinary (5) 110220303
senary (6) 14113120
septenary (7) 4022466
nonary (9) 805353
undecimal (11) 2a5966
duodecimal (12) 1ab7a0
tridecimal (13) 138a68
tetradecimal (14) c5836
pentadecimal (15) 96203

As an angle

476,328° = 1,323 × 360° + 48°
48° ≈ 0.838 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοϛτκηʹ
Chinese
四十七萬六千三百二十八
Chinese (financial)
肆拾柒萬陸仟參佰貳拾捌
In other modern scripts
Eastern Arabic ٤٧٦٣٢٨ Devanagari ४७६३२८ Bengali ৪৭৬৩২৮ Tamil ௪௭௬௩௨௮ Thai ๔๗๖๓๒๘ Tibetan ༤༧༦༣༢༨ Khmer ៤៧៦៣២៨ Lao ໔໗໖໓໒໘ Burmese ၄၇၆၃၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 476328, here are decompositions:

  • 11 + 476317 = 476328
  • 29 + 476299 = 476328
  • 79 + 476249 = 476328
  • 109 + 476219 = 476328
  • 191 + 476137 = 476328
  • 227 + 476101 = 476328
  • 239 + 476089 = 476328
  • 241 + 476087 = 476328

Showing the first eight; more decompositions exist.

Hex color
#0744A8
RGB(7, 68, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.68.168.

Address
0.7.68.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.68.168

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 476,328 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 476328 first appears in π at position 298,230 of the decimal expansion (the 298,230ordinal-suffix:th 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°.