480,320
480,320 is a composite number, even.
480,320 (four hundred eighty thousand three hundred twenty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 19 × 79. Its proper divisors sum to 738,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x75440.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 23,084
- Square (n²)
- 230,707,302,400
- Cube (n³)
- 110,813,331,488,768,000
- Divisor count
- 56
- σ(n) — sum of divisors
- 1,219,200
- φ(n) — Euler's totient
- 179,712
- Sum of prime factors
- 115
Primality
Prime factorization: 2 6 × 5 × 19 × 79
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√480,320 = [693; (19, 1, 1, 10, 1, 16, 2, 2, 2, 1, 1, 1, 4, 3, 1, 345, 1, 3, 4, 1, 1, 1, 2, 2, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- four hundred eighty thousand three hundred twenty
- Ordinal
- 480320th
- Binary
- 1110101010001000000
- Octal
- 1652100
- Hexadecimal
- 0x75440
- Base64
- B1RA
- One's complement
- 4,294,486,975 (32-bit)
- Scientific notation
- 4.8032 × 10⁵
- As a duration
- 480,320 s = 5 days, 13 hours, 25 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υπτκʹ
- Chinese
- 四十八萬零三百二十
- Chinese (financial)
- 肆拾捌萬零參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 480320, here are decompositions:
- 3 + 480317 = 480320
- 151 + 480169 = 480320
- 163 + 480157 = 480320
- 229 + 480091 = 480320
- 271 + 480049 = 480320
- 277 + 480043 = 480320
- 307 + 480013 = 480320
- 349 + 479971 = 480320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.84.64.
- Address
- 0.7.84.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.84.64
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 480,320 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 480320 first appears in π at position 155,506 of the decimal expansion (the 155,506ordinal-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°.