64,400
64,400 is a composite number, even.
64,400 (sixty-four thousand four hundred) is an even 5-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 7 × 23. Its proper divisors sum to 120,112, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFB90.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 16 bits
- Reversed
- 446
- Recamán's sequence
- a(286,100) = 64,400
- Square (n²)
- 4,147,360,000
- Cube (n³)
- 267,089,984,000,000
- Divisor count
- 60
- σ(n) — sum of divisors
- 184,512
- φ(n) — Euler's totient
- 21,120
- Sum of prime factors
- 48
Primality
Prime factorization: 2 4 × 5 2 × 7 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√64,400 = [253; (1, 3, 2, 1, 1, 1, 6, 20, 6, 1, 1, 1, 2, 3, 1, 506)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- sixty-four thousand four hundred
- Ordinal
- 64400th
- Binary
- 1111101110010000
- Octal
- 175620
- Hexadecimal
- 0xFB90
- Base64
- +5A=
- One's complement
- 1,135 (16-bit)
- Scientific notation
- 6.44 × 10⁴
- As a duration
- 64,400 s = 17 hours, 53 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ξδυʹ
- Mayan (base 20)
- 𝋨·𝋡·𝋠·𝋠
- Chinese
- 六萬四千四百
- Chinese (financial)
- 陸萬肆仟肆佰
Digit at this position in famous constants
- π — Pi (π)
- Digit 64,400 = 7
- e — Euler's number (e)
- Digit 64,400 = 9
- φ — Golden ratio (φ)
- Digit 64,400 = 4
- √2 — Pythagoras's (√2)
- Digit 64,400 = 4
- ln 2 — Natural log of 2
- Digit 64,400 = 1
- γ — Euler-Mascheroni (γ)
- Digit 64,400 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 64400, here are decompositions:
- 19 + 64381 = 64400
- 67 + 64333 = 64400
- 73 + 64327 = 64400
- 97 + 64303 = 64400
- 163 + 64237 = 64400
- 211 + 64189 = 64400
- 229 + 64171 = 64400
- 277 + 64123 = 64400
Showing the first eight; more decompositions exist.
UTF-8 encoding: EF AE 90 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.251.144.
- Address
- 0.0.251.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.251.144
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 64400 first appears in π at position 44,594 of the decimal expansion (the 44,594ordinal-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.