464,400
464,400 is a composite number, even.
464,400 (four hundred sixty-four thousand four hundred) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3³ × 5² × 43. Its proper divisors sum to 1,226,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71610.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 4,464
- Square (n²)
- 215,667,360,000
- Cube (n³)
- 100,155,921,984,000,000
- Divisor count
- 120
- σ(n) — sum of divisors
- 1,691,360
- φ(n) — Euler's totient
- 120,960
- Sum of prime factors
- 70
Primality
Prime factorization: 2 4 × 3 3 × 5 2 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√464,400 = [681; (2, 7, 1, 1, 3, 2, 1, 5, 2, 1, 3, 5, 19, 151, 2, 1, 1, 2, 6, 1, 3, 54, 3, 1, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-four thousand four hundred
- Ordinal
- 464400th
- Binary
- 1110001011000010000
- Octal
- 1613020
- Hexadecimal
- 0x71610
- Base64
- BxYQ
- One's complement
- 4,294,502,895 (32-bit)
- Scientific notation
- 4.644 × 10⁵
- As a duration
- 464,400 s = 5 days, 9 hours
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵υξδυʹ
- Chinese
- 四十六萬四千四百
- Chinese (financial)
- 肆拾陸萬肆仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 464400, here are decompositions:
- 17 + 464383 = 464400
- 19 + 464381 = 464400
- 29 + 464371 = 464400
- 73 + 464327 = 464400
- 89 + 464311 = 464400
- 109 + 464291 = 464400
- 137 + 464263 = 464400
- 149 + 464251 = 464400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.22.16.
- Address
- 0.7.22.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.22.16
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 464,400 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 464400 first appears in π at position 347,649 of the decimal expansion (the 347,649ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.