461,440
461,440 is a composite number, even.
461,440 (four hundred sixty-one thousand four hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 5 × 7 × 103. Its proper divisors sum to 811,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x70A80.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 44,164
- Square (n²)
- 212,926,873,600
- Cube (n³)
- 98,252,976,553,984,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,272,960
- φ(n) — Euler's totient
- 156,672
- Sum of prime factors
- 129
Primality
Prime factorization: 2 7 × 5 × 7 × 103
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√461,440 = [679; (3, 2, 2, 9, 43, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 2, 1, 43, 9, 2, 2, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-one thousand four hundred forty
- Ordinal
- 461440th
- Binary
- 1110000101010000000
- Octal
- 1605200
- Hexadecimal
- 0x70A80
- Base64
- BwqA
- One's complement
- 4,294,505,855 (32-bit)
- Scientific notation
- 4.6144 × 10⁵
- As a duration
- 461,440 s = 5 days, 8 hours, 10 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υξαυμʹ
- Chinese
- 四十六萬一千四百四十
- Chinese (financial)
- 肆拾陸萬壹仟肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 461440, here are decompositions:
- 3 + 461437 = 461440
- 29 + 461411 = 461440
- 47 + 461393 = 461440
- 59 + 461381 = 461440
- 107 + 461333 = 461440
- 113 + 461327 = 461440
- 131 + 461309 = 461440
- 167 + 461273 = 461440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.10.128.
- Address
- 0.7.10.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.10.128
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 461,440 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 461440 first appears in π at position 326,888 of the decimal expansion (the 326,888ordinal-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°.