464,640
464,640 is a composite number, even.
464,640 (four hundred sixty-four thousand six hundred forty) is an even 6-digit number. It is a composite number with 108 divisors, and factors as 2⁸ × 3 × 5 × 11². Its proper divisors sum to 1,166,472, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71700.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 46,464
- Recamán's sequence
- a(132,352) = 464,640
- Square (n²)
- 215,890,329,600
- Cube (n³)
- 100,311,282,745,344,000
- Divisor count
- 108
- σ(n) — sum of divisors
- 1,631,112
- φ(n) — Euler's totient
- 112,640
- Sum of prime factors
- 46
Primality
Prime factorization: 2 8 × 3 × 5 × 11 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√464,640 = [681; (1, 1, 1, 4, 2, 10, 1, 4, 2, 2, 2, 1, 3, 10, 1, 339, 1, 10, 3, 1, 2, 2, 2, 4, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-four thousand six hundred forty
- Ordinal
- 464640th
- Binary
- 1110001011100000000
- Octal
- 1613400
- Hexadecimal
- 0x71700
- Base64
- BxcA
- One's complement
- 4,294,502,655 (32-bit)
- Scientific notation
- 4.6464 × 10⁵
- As a duration
- 464,640 s = 5 days, 9 hours, 4 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υξδχμʹ
- Chinese
- 四十六萬四千六百四十
- Chinese (financial)
- 肆拾陸萬肆仟陸佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 464640, here are decompositions:
- 19 + 464621 = 464640
- 23 + 464617 = 464640
- 37 + 464603 = 464640
- 53 + 464587 = 464640
- 79 + 464561 = 464640
- 83 + 464557 = 464640
- 101 + 464539 = 464640
- 103 + 464537 = 464640
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.23.0.
- Address
- 0.7.23.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.23.0
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 464,640 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 464640 first appears in π at position 662,231 of the decimal expansion (the 662,231ordinal-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°.