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464,424

464,424 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.).

464,424 (four hundred sixty-four thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 37 × 523. Its proper divisors sum to 730,296, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71628.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
3,072
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
424,464
Square (n²)
215,689,651,776
Cube (n³)
100,171,450,836,417,024
Divisor count
32
σ(n) — sum of divisors
1,194,720
φ(n) — Euler's totient
150,336
Sum of prime factors
569

Primality

Prime factorization: 2 3 × 3 × 37 × 523

Nearest primes: 464,419 (−5) · 464,437 (+13)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 37 · 74 · 111 · 148 · 222 · 296 · 444 · 523 · 888 · 1046 · 1569 · 2092 · 3138 · 4184 · 6276 · 12552 · 19351 · 38702 · 58053 · 77404 · 116106 · 154808 · 232212 (half) · 464424
Aliquot sum (sum of proper divisors): 730,296
Factor pairs (a × b = 464,424)
1 × 464424
2 × 232212
3 × 154808
4 × 116106
6 × 77404
8 × 58053
12 × 38702
24 × 19351
37 × 12552
74 × 6276
111 × 4184
148 × 3138
222 × 2092
296 × 1569
444 × 1046
523 × 888
First multiples
464,424 · 928,848 (double) · 1,393,272 · 1,857,696 · 2,322,120 · 2,786,544 · 3,250,968 · 3,715,392 · 4,179,816 · 4,644,240

Sums & aliquot sequence

As consecutive integers: 154,807 + 154,808 + 154,809 29,019 + 29,020 + … + 29,034 12,534 + 12,535 + … + 12,570 9,652 + 9,653 + … + 9,699
Aliquot sequence: 464,424 → 730,296 → 1,752,624 → 3,279,296 → 3,228,184 → 2,879,936 → 3,173,392 → 2,975,086 → 1,487,546 → 822,574 → 411,290 → 396,550 → 531,962 → 308,038 → 184,442 → 92,224 → 108,944 — unresolved within range

Continued fraction of √n

√464,424 = [681; (2, 18, 5, 1, 5, 1, 1, 53, 1, 47, 1, 2, 3, 2, 5, 1, 9, 2, 12, 1, 1, 1, 2, 2, …)]

Representations

In words
four hundred sixty-four thousand four hundred twenty-four
Ordinal
464424th
Binary
1110001011000101000
Octal
1613050
Hexadecimal
0x71628
Base64
BxYo
One's complement
4,294,502,871 (32-bit)
Scientific notation
4.64424 × 10⁵
As a duration
464,424 s = 5 days, 9 hours, 24 seconds
In other bases
ternary (3) 212121001220
quaternary (4) 1301120220
quinary (5) 104330144
senary (6) 13542040
septenary (7) 3643002
nonary (9) 777056
undecimal (11) 297a24
duodecimal (12) 1a4920
tridecimal (13) 13350c
tetradecimal (14) c1372
pentadecimal (15) 92919

As an angle

464,424° = 1,290 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξδυκδʹ
Chinese
四十六萬四千四百二十四
Chinese (financial)
肆拾陸萬肆仟肆佰貳拾肆
In other modern scripts
Eastern Arabic ٤٦٤٤٢٤ Devanagari ४६४४२४ Bengali ৪৬৪৪২৪ Tamil ௪௬௪௪௨௪ Thai ๔๖๔๔๒๔ Tibetan ༤༦༤༤༢༤ Khmer ៤៦៤៤២៤ Lao ໔໖໔໔໒໔ Burmese ၄၆၄၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 464424, here are decompositions:

  • 5 + 464419 = 464424
  • 11 + 464413 = 464424
  • 41 + 464383 = 464424
  • 43 + 464381 = 464424
  • 53 + 464371 = 464424
  • 73 + 464351 = 464424
  • 97 + 464327 = 464424
  • 113 + 464311 = 464424

Showing the first eight; more decompositions exist.

Hex color
#071628
RGB(7, 22, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.22.40.

Address
0.7.22.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.22.40

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 464,424 and was likely granted around 1891.

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

Position in π

The digit sequence 464424 first appears in π at position 661,947 of the decimal expansion (the 661,947ordinal-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°.