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474,368

474,368 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.).

474,368 (four hundred seventy-four thousand three hundred sixty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁸ × 17 × 109. Its proper divisors sum to 537,412, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73D00.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
32
Digit product
16,128
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
863,474
Square (n²)
225,024,999,424
Cube (n³)
106,744,658,926,764,032
Divisor count
36
σ(n) — sum of divisors
1,011,780
φ(n) — Euler's totient
221,184
Sum of prime factors
142

Primality

Prime factorization: 2 8 × 17 × 109

Nearest primes: 474,359 (−9) · 474,379 (+11)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 8 · 16 · 17 · 32 · 34 · 64 · 68 · 109 · 128 · 136 · 218 · 256 · 272 · 436 · 544 · 872 · 1088 · 1744 · 1853 · 2176 · 3488 · 3706 · 4352 · 6976 · 7412 · 13952 · 14824 · 27904 · 29648 · 59296 · 118592 · 237184 (half) · 474368
Aliquot sum (sum of proper divisors): 537,412
Factor pairs (a × b = 474,368)
1 × 474368
2 × 237184
4 × 118592
8 × 59296
16 × 29648
17 × 27904
32 × 14824
34 × 13952
64 × 7412
68 × 6976
109 × 4352
128 × 3706
136 × 3488
218 × 2176
256 × 1853
272 × 1744
436 × 1088
544 × 872
First multiples
474,368 · 948,736 (double) · 1,423,104 · 1,897,472 · 2,371,840 · 2,846,208 · 3,320,576 · 3,794,944 · 4,269,312 · 4,743,680

Sums & aliquot sequence

As a sum of two squares: 32² + 688² = 352² + 592²
As consecutive integers: 27,896 + 27,897 + … + 27,912 4,298 + 4,299 + … + 4,406 671 + 672 + … + 1,182
Aliquot sequence: 474,368 537,412 403,066 233,414 116,710 112,682 58,294 29,150 31,114 16,694 9,874 4,940 6,820 9,308 8,332 6,256 7,136 — unresolved within range

Continued fraction of √n

√474,368 = [688; (1, 2, 1, 9, 3, 3, 1, 1, 4, 1, 4, 2, 2, 1, 1, 10, 1, 3, 1, 85, 3, 2, 1, 2, …)]

Representations

In words
four hundred seventy-four thousand three hundred sixty-eight
Ordinal
474368th
Binary
1110011110100000000
Octal
1636400
Hexadecimal
0x73D00
Base64
Bz0A
One's complement
4,294,492,927 (32-bit)
Scientific notation
4.74368 × 10⁵
As a duration
474,368 s = 5 days, 11 hours, 46 minutes, 8 seconds
In other bases
ternary (3) 220002201012
quaternary (4) 1303310000
quinary (5) 110134433
senary (6) 14100052
septenary (7) 4013666
nonary (9) 802635
undecimal (11) 2a4444
duodecimal (12) 1aa628
tridecimal (13) 137bbb
tetradecimal (14) c4c36
pentadecimal (15) 95848

As an angle

474,368° = 1,317 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοδτξηʹ
Chinese
四十七萬四千三百六十八
Chinese (financial)
肆拾柒萬肆仟參佰陸拾捌
In other modern scripts
Eastern Arabic ٤٧٤٣٦٨ Devanagari ४७४३६८ Bengali ৪৭৪৩৬৮ Tamil ௪௭௪௩௬௮ Thai ๔๗๔๓๖๘ Tibetan ༤༧༤༣༦༨ Khmer ៤៧៤៣៦៨ Lao ໔໗໔໓໖໘ Burmese ၄၇၄၃၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474368, here are decompositions:

  • 31 + 474337 = 474368
  • 61 + 474307 = 474368
  • 79 + 474289 = 474368
  • 127 + 474241 = 474368
  • 157 + 474211 = 474368
  • 199 + 474169 = 474368
  • 241 + 474127 = 474368
  • 331 + 474037 = 474368

Showing the first eight; more decompositions exist.

Hex color
#073D00
RGB(7, 61, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.61.0.

Address
0.7.61.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.61.0

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 474,368 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 474368 first appears in π at position 932,534 of the decimal expansion (the 932,534ordinal-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°.