34,080
34,080 is a composite number, even.
34,080 (thirty-four thousand eighty) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 71. Its proper divisors sum to 74,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x8520.
Interestingness
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
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√34,080 = [184; (1, 1, 1, 1, 4, 1, 1, 1, 1, 368)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- thirty-four thousand eighty
- Ordinal
- 34080th
- Binary
- 1000010100100000
- Octal
- 102440
- Hexadecimal
- 0x8520
- Base64
- hSA=
- One's complement
- 31,455 (16-bit)
- Scientific notation
- 3.408 × 10⁴
- As a duration
- 34,080 s = 9 hours, 28 minutes
As an angle
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
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'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.
UTF-8 encoding: E8 94 A0 (3 bytes).
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.
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.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.