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474,640

474,640 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.).

474,640 (four hundred seventy-four thousand six hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 17 × 349. Its proper divisors sum to 697,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73E10.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
46,474
Square (n²)
225,283,129,600
Cube (n³)
106,928,384,633,344,000
Divisor count
40
σ(n) — sum of divisors
1,171,800
φ(n) — Euler's totient
178,176
Sum of prime factors
379

Primality

Prime factorization: 2 4 × 5 × 17 × 349

Nearest primes: 474,629 (−11) · 474,647 (+7)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 34 · 40 · 68 · 80 · 85 · 136 · 170 · 272 · 340 · 349 · 680 · 698 · 1360 · 1396 · 1745 · 2792 · 3490 · 5584 · 5933 · 6980 · 11866 · 13960 · 23732 · 27920 · 29665 · 47464 · 59330 · 94928 · 118660 · 237320 (half) · 474640
Aliquot sum (sum of proper divisors): 697,160
Factor pairs (a × b = 474,640)
1 × 474640
2 × 237320
4 × 118660
5 × 94928
8 × 59330
10 × 47464
16 × 29665
17 × 27920
20 × 23732
34 × 13960
40 × 11866
68 × 6980
80 × 5933
85 × 5584
136 × 3490
170 × 2792
272 × 1745
340 × 1396
349 × 1360
680 × 698
First multiples
474,640 · 949,280 (double) · 1,423,920 · 1,898,560 · 2,373,200 · 2,847,840 · 3,322,480 · 3,797,120 · 4,271,760 · 4,746,400

Sums & aliquot sequence

As a sum of two squares: 36² + 688² = 292² + 624² = 324² + 608² = 384² + 572²
As consecutive integers: 94,926 + 94,927 + 94,928 + 94,929 + 94,930 27,912 + 27,913 + … + 27,928 14,817 + 14,818 + … + 14,848 5,542 + 5,543 + … + 5,626
Aliquot sequence: 474,640 697,160 928,240 1,290,368 1,436,092 1,666,532 1,732,444 1,794,716 2,121,700 3,246,446 2,481,370 1,985,114 1,043,206 521,606 307,834 157,466 84,358 — unresolved within range

Continued fraction of √n

√474,640 = [688; (1, 16, 86, 16, 1, 1376)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-four thousand six hundred forty
Ordinal
474640th
Binary
1110011111000010000
Octal
1637020
Hexadecimal
0x73E10
Base64
Bz4Q
One's complement
4,294,492,655 (32-bit)
Scientific notation
4.7464 × 10⁵
As a duration
474,640 s = 5 days, 11 hours, 50 minutes, 40 seconds
In other bases
ternary (3) 220010002021
quaternary (4) 1303320100
quinary (5) 110142030
senary (6) 14101224
septenary (7) 4014535
nonary (9) 803067
undecimal (11) 2a4671
duodecimal (12) 1aa814
tridecimal (13) 13806a
tetradecimal (14) c4d8c
pentadecimal (15) 9597a

As an angle

474,640° = 1,318 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοδχμʹ
Chinese
四十七萬四千六百四十
Chinese (financial)
肆拾柒萬肆仟陸佰肆拾
In other modern scripts
Eastern Arabic ٤٧٤٦٤٠ Devanagari ४७४६४० Bengali ৪৭৪৬৪০ Tamil ௪௭௪௬௪௦ Thai ๔๗๔๖๔๐ Tibetan ༤༧༤༦༤༠ Khmer ៤៧៤៦៤០ Lao ໔໗໔໖໔໐ Burmese ၄၇၄၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474640, here are decompositions:

  • 11 + 474629 = 474640
  • 59 + 474581 = 474640
  • 71 + 474569 = 474640
  • 83 + 474557 = 474640
  • 107 + 474533 = 474640
  • 137 + 474503 = 474640
  • 149 + 474491 = 474640
  • 197 + 474443 = 474640

Showing the first eight; more decompositions exist.

Hex color
#073E10
RGB(7, 62, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.62.16.

Address
0.7.62.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.62.16

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 474,640 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 474640 first appears in π at position 843,541 of the decimal expansion (the 843,541ordinal-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°.