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474,040

474,040 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.).

474,040 (four hundred seventy-four thousand forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 7 × 1,693. Its proper divisors sum to 745,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73BB8.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
40,474
Square (n²)
224,713,921,600
Cube (n³)
106,523,387,395,264,000
Divisor count
32
σ(n) — sum of divisors
1,219,680
φ(n) — Euler's totient
162,432
Sum of prime factors
1,711

Primality

Prime factorization: 2 3 × 5 × 7 × 1693

Nearest primes: 474,037 (−3) · 474,043 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 28 · 35 · 40 · 56 · 70 · 140 · 280 · 1693 · 3386 · 6772 · 8465 · 11851 · 13544 · 16930 · 23702 · 33860 · 47404 · 59255 · 67720 · 94808 · 118510 · 237020 (half) · 474040
Aliquot sum (sum of proper divisors): 745,640
Factor pairs (a × b = 474,040)
1 × 474040
2 × 237020
4 × 118510
5 × 94808
7 × 67720
8 × 59255
10 × 47404
14 × 33860
20 × 23702
28 × 16930
35 × 13544
40 × 11851
56 × 8465
70 × 6772
140 × 3386
280 × 1693
First multiples
474,040 · 948,080 (double) · 1,422,120 · 1,896,160 · 2,370,200 · 2,844,240 · 3,318,280 · 3,792,320 · 4,266,360 · 4,740,400

Sums & aliquot sequence

As consecutive integers: 94,806 + 94,807 + 94,808 + 94,809 + 94,810 67,717 + 67,718 + … + 67,723 29,620 + 29,621 + … + 29,635 13,527 + 13,528 + … + 13,561
Aliquot sequence: 474,040 745,640 1,172,440 1,465,640 2,132,920 2,666,240 3,723,304 3,795,116 3,484,324 2,626,424 2,298,136 2,054,264 1,892,056 1,655,564 1,261,924 946,450 892,718 — unresolved within range

Continued fraction of √n

√474,040 = [688; (1, 1, 43, 1, 11, 2, 2, 1, 33, 1, 2, 2, 11, 1, 43, 1, 1, 1376)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-four thousand forty
Ordinal
474040th
Binary
1110011101110111000
Octal
1635670
Hexadecimal
0x73BB8
Base64
Bzu4
One's complement
4,294,493,255 (32-bit)
Scientific notation
4.7404 × 10⁵
As a duration
474,040 s = 5 days, 11 hours, 40 minutes, 40 seconds
In other bases
ternary (3) 220002021001
quaternary (4) 1303232320
quinary (5) 110132130
senary (6) 14054344
septenary (7) 4013020
nonary (9) 802231
undecimal (11) 2a4176
duodecimal (12) 1aa3b4
tridecimal (13) 1379c8
tetradecimal (14) c4a80
pentadecimal (15) 956ca

As an angle

474,040° = 1,316 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοδμʹ
Chinese
四十七萬四千零四十
Chinese (financial)
肆拾柒萬肆仟零肆拾
In other modern scripts
Eastern Arabic ٤٧٤٠٤٠ Devanagari ४७४०४० Bengali ৪৭৪০৪০ Tamil ௪௭௪௦௪௦ Thai ๔๗๔๐๔๐ Tibetan ༤༧༤༠༤༠ Khmer ៤៧៤០៤០ Lao ໔໗໔໐໔໐ Burmese ၄၇၄၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474040, here are decompositions:

  • 3 + 474037 = 474040
  • 11 + 474029 = 474040
  • 23 + 474017 = 474040
  • 41 + 473999 = 474040
  • 53 + 473987 = 474040
  • 59 + 473981 = 474040
  • 89 + 473951 = 474040
  • 101 + 473939 = 474040

Showing the first eight; more decompositions exist.

Hex color
#073BB8
RGB(7, 59, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.59.184.

Address
0.7.59.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.59.184

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 474,040 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 474040 first appears in π at position 422,307 of the decimal expansion (the 422,307ordinal-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°.