463,320
463,320 is a composite number, even.
463,320 (four hundred sixty-three thousand three hundred twenty) is an even 6-digit number. It is a composite number with 160 divisors, and factors as 2³ × 3⁴ × 5 × 11 × 13. Its proper divisors sum to 1,366,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x711D8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 23,364
- Square (n²)
- 214,665,422,400
- Cube (n³)
- 99,458,783,506,368,000
- Divisor count
- 160
- σ(n) — sum of divisors
- 1,829,520
- φ(n) — Euler's totient
- 103,680
- Sum of prime factors
- 47
Primality
Prime factorization: 2 3 × 3 4 × 5 × 11 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√463,320 = [680; (1, 2, 11, 2, 2, 16, 2, 2, 11, 2, 1, 1360)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-three thousand three hundred twenty
- Ordinal
- 463320th
- Binary
- 1110001000111011000
- Octal
- 1610730
- Hexadecimal
- 0x711D8
- Base64
- BxHY
- One's complement
- 4,294,503,975 (32-bit)
- Scientific notation
- 4.6332 × 10⁵
- As a duration
- 463,320 s = 5 days, 8 hours, 42 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υξγτκʹ
- Chinese
- 四十六萬三千三百二十
- Chinese (financial)
- 肆拾陸萬參仟參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 463320, here are decompositions:
- 7 + 463313 = 463320
- 17 + 463303 = 463320
- 23 + 463297 = 463320
- 29 + 463291 = 463320
- 37 + 463283 = 463320
- 59 + 463261 = 463320
- 71 + 463249 = 463320
- 73 + 463247 = 463320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.17.216.
- Address
- 0.7.17.216
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.17.216
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 463,320 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.