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57,344

57,344 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.).
Abundant Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
23
Digit product
1,680
Digital root
5
Palindrome
No
Bit width
16 bits
Reversed
44,375
Recamán's sequence
a(56,524) = 57,344
Square (n²)
3,288,334,336
Cube (n³)
188,566,244,163,584
Divisor count
28
σ(n) — sum of divisors
131,064
φ(n) — Euler's totient
24,576
Sum of prime factors
33

Primality

Prime factorization: 2 13 × 7

Nearest primes: 57,331 (−13) · 57,347 (+3)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 64 · 112 · 128 · 224 · 256 · 448 · 512 · 896 · 1024 · 1792 · 2048 · 3584 · 4096 · 7168 · 8192 · 14336 · 28672 (half) · 57344
Aliquot sum (sum of proper divisors): 73,720
Factor pairs (a × b = 57,344)
1 × 57344
2 × 28672
4 × 14336
7 × 8192
8 × 7168
14 × 4096
16 × 3584
28 × 2048
32 × 1792
56 × 1024
64 × 896
112 × 512
128 × 448
224 × 256
First multiples
57,344 · 114,688 (double) · 172,032 · 229,376 · 286,720 · 344,064 · 401,408 · 458,752 · 516,096 · 573,440

Sums & aliquot sequence

As consecutive integers: 8,189 + 8,190 + … + 8,195
Aliquot sequence: 57,344 73,720 102,680 143,560 191,600 269,680 357,512 376,888 329,792 324,766 199,898 102,694 51,350 52,810 42,266 30,214 15,110 — unresolved within range

Representations

In words
fifty-seven thousand three hundred forty-four
Ordinal
57344th
Binary
1110000000000000
Octal
160000
Hexadecimal
0xE000
Base64
4AA=
One's complement
8,191 (16-bit)
In other bases
ternary (3) 2220122212
quaternary (4) 32000000
quinary (5) 3313334
senary (6) 1121252
septenary (7) 326120
nonary (9) 86585
undecimal (11) 3a0a1
duodecimal (12) 29228
tridecimal (13) 20141
tetradecimal (14) 16c80
pentadecimal (15) 11ece

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵νζτμδʹ
Mayan (base 20)
𝋧·𝋣·𝋧·𝋤
Chinese
五萬七千三百四十四
Chinese (financial)
伍萬柒仟參佰肆拾肆
In other modern scripts
Eastern Arabic ٥٧٣٤٤ Devanagari ५७३४४ Bengali ৫৭৩৪৪ Tamil ௫௭௩௪௪ Thai ๕๗๓๔๔ Tibetan ༥༧༣༤༤ Khmer ៥៧៣៤៤ Lao ໕໗໓໔໔ Burmese ၅၇၃၄၄

Digit at this position in famous constants

π — Pi (π)
Digit 57,344 = 8
e — Euler's number (e)
Digit 57,344 = 7
φ — Golden ratio (φ)
Digit 57,344 = 4
√2 — Pythagoras's (√2)
Digit 57,344 = 5
ln 2 — Natural log of 2
Digit 57,344 = 2
γ — Euler-Mascheroni (γ)
Digit 57,344 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 57344, here are decompositions:

  • 13 + 57331 = 57344
  • 43 + 57301 = 57344
  • 61 + 57283 = 57344
  • 73 + 57271 = 57344
  • 103 + 57241 = 57344
  • 151 + 57193 = 57344
  • 181 + 57163 = 57344
  • 271 + 57073 = 57344

Showing the first eight; more decompositions exist.

Hex color
#00E000
RGB(0, 224, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.224.0.

Address
0.0.224.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.224.0

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 57344 first appears in π at position 65,907 of the decimal expansion (the 65,907ordinal-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.