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34,080

34,080 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 Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
16 bits
Reversed
8,043
Recamán's sequence
a(24,155) = 34,080
Square (n²)
1,161,446,400
Cube (n³)
39,582,093,312,000
Divisor count
48
σ(n) — sum of divisors
108,864
φ(n) — Euler's totient
8,960
Sum of prime factors
89

Primality

Prime factorization: 2 5 × 3 × 5 × 71

Nearest primes: 34,061 (−19) · 34,123 (+43)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 71 · 80 · 96 · 120 · 142 · 160 · 213 · 240 · 284 · 355 · 426 · 480 · 568 · 710 · 852 · 1065 · 1136 · 1420 · 1704 · 2130 · 2272 · 2840 · 3408 · 4260 · 5680 · 6816 · 8520 · 11360 · 17040 (half) · 34080
Aliquot sum (sum of proper divisors): 74,784
Factor pairs (a × b = 34,080)
1 × 34080
2 × 17040
3 × 11360
4 × 8520
5 × 6816
6 × 5680
8 × 4260
10 × 3408
12 × 2840
15 × 2272
16 × 2130
20 × 1704
24 × 1420
30 × 1136
32 × 1065
40 × 852
48 × 710
60 × 568
71 × 480
80 × 426
96 × 355
120 × 284
142 × 240
160 × 213
First multiples
34,080 · 68,160 (double) · 102,240 · 136,320 · 170,400 · 204,480 · 238,560 · 272,640 · 306,720 · 340,800

Sums & aliquot sequence

As consecutive integers: 11,359 + 11,360 + 11,361 6,814 + 6,815 + 6,816 + 6,817 + 6,818 2,265 + 2,266 + … + 2,279 501 + 502 + … + 564
Aliquot sequence: 34,080 74,784 136,896 253,248 417,312 1,046,304 2,461,536 6,731,424 16,732,170 38,885,238 59,871,882 76,978,230 136,395,210 237,717,942 356,714,058 356,714,070 499,399,770 — unresolved within range

Representations

In words
thirty-four thousand eighty
Ordinal
34080th
Binary
1000010100100000
Octal
102440
Hexadecimal
0x8520
Base64
hSA=
One's complement
31,455 (16-bit)
In other bases
ternary (3) 1201202020
quaternary (4) 20110200
quinary (5) 2042310
senary (6) 421440
septenary (7) 201234
nonary (9) 51666
undecimal (11) 23672
duodecimal (12) 17880
tridecimal (13) 12687
tetradecimal (14) c5c4
pentadecimal (15) a170

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵λδπʹ
Mayan (base 20)
𝋤·𝋥·𝋤·𝋠
Chinese
三萬四千零八十
Chinese (financial)
參萬肆仟零捌拾
In other modern scripts
Eastern Arabic ٣٤٠٨٠ Devanagari ३४०८० Bengali ৩৪০৮০ Tamil ௩௪௦௮௦ Thai ๓๔๐๘๐ Tibetan ༣༤༠༨༠ Khmer ៣៤០៨០ Lao ໓໔໐໘໐ Burmese ၃၄၀၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 34,080 = 1
e — Euler's number (e)
Digit 34,080 = 9
φ — Golden ratio (φ)
Digit 34,080 = 5
√2 — Pythagoras's (√2)
Digit 34,080 = 6
ln 2 — Natural log of 2
Digit 34,080 = 8
γ — Euler-Mascheroni (γ)
Digit 34,080 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 34080, here are decompositions:

  • 19 + 34061 = 34080
  • 23 + 34057 = 34080
  • 41 + 34039 = 34080
  • 47 + 34033 = 34080
  • 61 + 34019 = 34080
  • 83 + 33997 = 34080
  • 113 + 33967 = 34080
  • 139 + 33941 = 34080

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-8520
U+8520
Other letter (Lo)

UTF-8 encoding: E8 94 A0 (3 bytes).

Hex color
#008520
RGB(0, 133, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.133.32.

Address
0.0.133.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.133.32

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

Position in π

The digit sequence 34080 first appears in π at position 8,501 of the decimal expansion (the 8,501ordinal-suffix:st 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.