Live analysis

476,340

476,340 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.).

476,340 (four hundred seventy-six thousand three hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 17 × 467. Its proper divisors sum to 938,892, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x744B4.

Abundant Number Arithmetic Number Cube-Free Odious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

476,328 476,329 476,330 476,331 476,332 476,333 476,334 476,335 476,336 476,337 476,338 476,339 476,340 476,341 476,342 476,343 476,344 476,345 476,346 476,347 476,348 476,349 476,350 476,351 476,352

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Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 43,674
Recamán's sequence: a(140,216) = 476,340
Square (n²): 226,899,795,600
Cube (n³): 108,081,448,636,104,000
Divisor count: 48
σ(n) — sum of divisors: 1,415,232
φ(n) — Euler's totient: 119,296
Sum of prime factors: 496

Primality

Prime factorization: 2 ² × 3 × 5 × 17 × 467

Nearest primes: 476,317 (−23) · 476,347 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 17 · 20 · 30 · 34 · 51 · 60 · 68 · 85 · 102 · 170 · 204 · 255 · 340 · 467 · 510 · 934 · 1020 · 1401 · 1868 · 2335 · 2802 · 4670 · 5604 · 7005 · 7939 · 9340 · 14010 · 15878 · 23817 · 28020 · 31756 · 39695 · 47634 · 79390 · 95268 · 119085 · 158780 · 238170 (half) · 476340

Aliquot sum (sum of proper divisors): 938,892

Factor pairs (a × b = 476,340)

1 × 476340

2 × 238170

3 × 158780

4 × 119085

5 × 95268

6 × 79390

10 × 47634

12 × 39695

15 × 31756

17 × 28020

20 × 23817

30 × 15878

34 × 14010

51 × 9340

60 × 7939

68 × 7005

85 × 5604

102 × 4670

170 × 2802

204 × 2335

255 × 1868

340 × 1401

467 × 1020

510 × 934

First multiples

476,340 · 952,680 (double) · 1,429,020 · 1,905,360 · 2,381,700 · 2,858,040 · 3,334,380 · 3,810,720 · 4,287,060 · 4,763,400

Sums & aliquot sequence

As consecutive integers: 158,779 + 158,780 + 158,781 95,266 + 95,267 + 95,268 + 95,269 + 95,270 59,539 + 59,540 + … + 59,546 31,749 + 31,750 + … + 31,763

Aliquot sequence: 476,340 → 938,892 → 1,251,884 → 938,920 → 1,173,740 → 1,291,156 → 1,007,084 → 919,204 → 971,804 → 743,140 → 841,940 → 1,153,900 → 1,580,300 → 1,849,168 → 1,811,312 → 1,745,008 → 1,635,976 — unresolved within range

Continued fraction of √n

√476,340 = [690; (5, 1, 3, 86, 92, 86, 3, 1, 5, 1380)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-six thousand three hundred forty
Ordinal: 476340th
Binary: 1110100010010110100
Octal: 1642264
Hexadecimal: 0x744B4
Base64: B0S0
One's complement: 4,294,490,955 (32-bit)
Scientific notation: 4.7634 × 10⁵
As a duration: 476,340 s = 5 days, 12 hours, 19 minutes

In other bases

ternary (3) 220012102020

quaternary (4) 1310102310

quinary (5) 110220330

senary (6) 14113140

septenary (7) 4022514

nonary (9) 805366

undecimal (11) 2a5977

duodecimal (12) 1ab7b0

tridecimal (13) 138a77

tetradecimal (14) c5844

pentadecimal (15) 96210

As an angle

476,340° = 1,323 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υοϛτμʹ
Chinese: 四十七萬六千三百四十
Chinese (financial): 肆拾柒萬陸仟參佰肆拾

In other modern scripts

Eastern Arabic ٤٧٦٣٤٠ Devanagari ४७६३४० Bengali ৪৭৬৩৪০ Tamil ௪௭௬௩௪௦ Thai ๔๗๖๓๔๐ Tibetan ༤༧༦༣༤༠ Khmer ៤៧៦៣៤០ Lao ໔໗໖໓໔໐ Burmese ၄၇၆၃၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 476340, here are decompositions:

23 + 476317 = 476340
41 + 476299 = 476340
61 + 476279 = 476340
97 + 476243 = 476340
103 + 476237 = 476340
107 + 476233 = 476340
157 + 476183 = 476340
173 + 476167 = 476340

Showing the first eight; more decompositions exist.

Hex color

#0744B4

RGB(7, 68, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.68.180.

Address: 0.7.68.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.68.180

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 476,340 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 US476,340 on Google Patents ↗ Look up on USPTO ↗