16,340
16,340 is a composite number, even.
16,340 (sixteen thousand three hundred forty) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 19 × 43. Its proper divisors sum to 20,620, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3FD4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 4,361
- Recamán's sequence
- a(18,032) = 16,340
- Square (n²)
- 266,995,600
- Cube (n³)
- 4,362,708,104,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 36,960
- φ(n) — Euler's totient
- 6,048
- Sum of prime factors
- 71
Primality
Prime factorization: 2 2 × 5 × 19 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√16,340 = [127; (1, 4, 1, 4, 2, 1, 1, 1, 1, 15, 2, 1, 2, 1, 12, 1, 2, 1, 2, 15, 1, 1, 1, 1, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- sixteen thousand three hundred forty
- Ordinal
- 16340th
- Binary
- 11111111010100
- Octal
- 37724
- Hexadecimal
- 0x3FD4
- Base64
- P9Q=
- One's complement
- 49,195 (16-bit)
- Scientific notation
- 1.634 × 10⁴
- As a duration
- 16,340 s = 4 hours, 32 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιϛτμʹ
- Mayan (base 20)
- 𝋢·𝋠·𝋱·𝋠
- Chinese
- 一萬六千三百四十
- Chinese (financial)
- 壹萬陸仟參佰肆拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 16,340 = 8
- e — Euler's number (e)
- Digit 16,340 = 9
- φ — Golden ratio (φ)
- Digit 16,340 = 2
- √2 — Pythagoras's (√2)
- Digit 16,340 = 2
- ln 2 — Natural log of 2
- Digit 16,340 = 0
- γ — Euler-Mascheroni (γ)
- Digit 16,340 = 2
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 16340, here are decompositions:
- 7 + 16333 = 16340
- 67 + 16273 = 16340
- 73 + 16267 = 16340
- 109 + 16231 = 16340
- 151 + 16189 = 16340
- 157 + 16183 = 16340
- 199 + 16141 = 16340
- 229 + 16111 = 16340
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 BF 94 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.63.212.
- Address
- 0.0.63.212
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.63.212
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 16,340 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C10 (16744 Hz, -42¢)
- Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, -5¢)
- Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, -41¢)
The digit sequence 16340 first appears in π at position 85,238 of the decimal expansion (the 85,238ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.