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31,440

31,440 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 Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
15 bits
Reversed
4,413
Recamán's sequence
a(311,504) = 31,440
Square (n²)
988,473,600
Cube (n³)
31,077,609,984,000
Divisor count
40
σ(n) — sum of divisors
98,208
φ(n) — Euler's totient
8,320
Sum of prime factors
147

Primality

Prime factorization: 2 4 × 3 × 5 × 131

Nearest primes: 31,397 (−43) · 31,469 (+29)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 131 · 240 · 262 · 393 · 524 · 655 · 786 · 1048 · 1310 · 1572 · 1965 · 2096 · 2620 · 3144 · 3930 · 5240 · 6288 · 7860 · 10480 · 15720 (half) · 31440
Aliquot sum (sum of proper divisors): 66,768
Factor pairs (a × b = 31,440)
1 × 31440
2 × 15720
3 × 10480
4 × 7860
5 × 6288
6 × 5240
8 × 3930
10 × 3144
12 × 2620
15 × 2096
16 × 1965
20 × 1572
24 × 1310
30 × 1048
40 × 786
48 × 655
60 × 524
80 × 393
120 × 262
131 × 240
First multiples
31,440 · 62,880 (double) · 94,320 · 125,760 · 157,200 · 188,640 · 220,080 · 251,520 · 282,960 · 314,400

Sums & aliquot sequence

As consecutive integers: 10,479 + 10,480 + 10,481 6,286 + 6,287 + 6,288 + 6,289 + 6,290 2,089 + 2,090 + … + 2,103 967 + 968 + … + 998
Aliquot sequence: 31,440 66,768 120,720 254,256 402,696 945,144 1,614,816 3,873,744 9,382,290 13,135,278 15,766,098 16,301,262 16,352,898 17,432,958 18,175,362 22,682,238 25,070,082 — unresolved within range

Representations

In words
thirty-one thousand four hundred forty
Ordinal
31440th
Binary
111101011010000
Octal
75320
Hexadecimal
0x7AD0
Base64
etA=
One's complement
34,095 (16-bit)
In other bases
ternary (3) 1121010110
quaternary (4) 13223100
quinary (5) 2001230
senary (6) 401320
septenary (7) 160443
nonary (9) 47113
undecimal (11) 21692
duodecimal (12) 16240
tridecimal (13) 11406
tetradecimal (14) b65a
pentadecimal (15) 94b0

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵λαυμʹ
Mayan (base 20)
𝋣·𝋲·𝋬·𝋠
Chinese
三萬一千四百四十
Chinese (financial)
參萬壹仟肆佰肆拾
In other modern scripts
Eastern Arabic ٣١٤٤٠ Devanagari ३१४४० Bengali ৩১৪৪০ Tamil ௩௧௪௪௦ Thai ๓๑๔๔๐ Tibetan ༣༡༤༤༠ Khmer ៣១៤៤០ Lao ໓໑໔໔໐ Burmese ၃၁၄၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 31,440 = 0
e — Euler's number (e)
Digit 31,440 = 2
φ — Golden ratio (φ)
Digit 31,440 = 2
√2 — Pythagoras's (√2)
Digit 31,440 = 1
ln 2 — Natural log of 2
Digit 31,440 = 4
γ — Euler-Mascheroni (γ)
Digit 31,440 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 31440, here are decompositions:

  • 43 + 31397 = 31440
  • 47 + 31393 = 31440
  • 53 + 31387 = 31440
  • 61 + 31379 = 31440
  • 83 + 31357 = 31440
  • 103 + 31337 = 31440
  • 107 + 31333 = 31440
  • 113 + 31327 = 31440

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-7Ad0
U+7AD0
Other letter (Lo)

UTF-8 encoding: E7 AB 90 (3 bytes).

Hex color
#007AD0
RGB(0, 122, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.122.208.

Address
0.0.122.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.122.208

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

Position in π

The digit sequence 31440 first appears in π at position 35,929 of the decimal expansion (the 35,929ordinal-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.