Live analysis

476,320

476,320 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.).

476,320 (four hundred seventy-six thousand three hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 13 × 229. Its proper divisors sum to 740,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x744A0.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

476,308 476,309 476,310 476,311 476,312 476,313 476,314 476,315 476,316 476,317 476,318 476,319 476,320 476,321 476,322 476,323 476,324 476,325 476,326 476,327 476,328 476,329 476,330 476,331 476,332

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 23,674
Square (n²): 226,880,742,400
Cube (n³): 108,067,835,219,968,000
Divisor count: 48
σ(n) — sum of divisors: 1,217,160
φ(n) — Euler's totient: 175,104
Sum of prime factors: 257

Primality

Prime factorization: 2 ⁵ × 5 × 13 × 229

Nearest primes: 476,317 (−3) · 476,347 (+27)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 26 · 32 · 40 · 52 · 65 · 80 · 104 · 130 · 160 · 208 · 229 · 260 · 416 · 458 · 520 · 916 · 1040 · 1145 · 1832 · 2080 · 2290 · 2977 · 3664 · 4580 · 5954 · 7328 · 9160 · 11908 · 14885 · 18320 · 23816 · 29770 · 36640 · 47632 · 59540 · 95264 · 119080 · 238160 (half) · 476320

Aliquot sum (sum of proper divisors): 740,840

Factor pairs (a × b = 476,320)

1 × 476320

2 × 238160

4 × 119080

5 × 95264

8 × 59540

10 × 47632

13 × 36640

16 × 29770

20 × 23816

26 × 18320

32 × 14885

40 × 11908

52 × 9160

65 × 7328

80 × 5954

104 × 4580

130 × 3664

160 × 2977

208 × 2290

229 × 2080

260 × 1832

416 × 1145

458 × 1040

520 × 916

First multiples

476,320 · 952,640 (double) · 1,428,960 · 1,905,280 · 2,381,600 · 2,857,920 · 3,334,240 · 3,810,560 · 4,286,880 · 4,763,200

Sums & aliquot sequence

As a sum of two squares: 92² + 684² = 268² + 636² = 348² + 596² = 484² + 492²

As consecutive integers: 95,262 + 95,263 + 95,264 + 95,265 + 95,266 36,634 + 36,635 + … + 36,646 7,411 + 7,412 + … + 7,474 7,296 + 7,297 + … + 7,360

Aliquot sequence: 476,320 → 740,840 → 926,140 → 1,018,796 → 764,104 → 884,696 → 774,124 → 684,900 → 1,464,702 → 1,494,930 → 2,092,974 → 2,415,138 → 3,363,294 → 4,049,826 → 4,997,982 → 6,178,722 → 7,403,358 — unresolved within range

Continued fraction of √n

√476,320 = [690; (6, 3, 1, 1, 1, 10, 1, 3, 2, 1, 7, 1, 85, 2, 1, 1, 2, 16, 1, 1, 1, 10, 25, 345, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-six thousand three hundred twenty
Ordinal: 476320th
Binary: 1110100010010100000
Octal: 1642240
Hexadecimal: 0x744A0
Base64: B0Sg
One's complement: 4,294,490,975 (32-bit)
Scientific notation: 4.7632 × 10⁵
As a duration: 476,320 s = 5 days, 12 hours, 18 minutes, 40 seconds

In other bases

ternary (3) 220012101111

quaternary (4) 1310102200

quinary (5) 110220240

senary (6) 14113104

septenary (7) 4022455

nonary (9) 805344

undecimal (11) 2a5959

duodecimal (12) 1ab794

tridecimal (13) 138a60

tetradecimal (14) c582c

pentadecimal (15) 961ea

As an angle

476,320° = 1,323 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵υοϛτκʹ
Chinese: 四十七萬六千三百二十
Chinese (financial): 肆拾柒萬陸仟參佰貳拾

In other modern scripts

Eastern Arabic ٤٧٦٣٢٠ Devanagari ४७६३२० Bengali ৪৭৬৩২০ Tamil ௪௭௬௩௨௦ Thai ๔๗๖๓๒๐ Tibetan ༤༧༦༣༢༠ Khmer ៤៧៦៣២០ Lao ໔໗໖໓໒໐ Burmese ၄၇၆၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 476320, here are decompositions:

3 + 476317 = 476320
41 + 476279 = 476320
71 + 476249 = 476320
83 + 476237 = 476320
101 + 476219 = 476320
137 + 476183 = 476320
233 + 476087 = 476320
239 + 476081 = 476320

Showing the first eight; more decompositions exist.

Hex color

#0744A0

RGB(7, 68, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.68.160.

Address: 0.7.68.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.68.160

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 476,320 and was likely granted around 1892.

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

Look up US476,320 on Google Patents ↗ Look up on USPTO ↗