484,320
484,320 is a composite number, even.
484,320 (four hundred eighty-four thousand three hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 1,009. Its proper divisors sum to 1,042,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x763E0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 23,484
- Square (n²)
- 234,565,862,400
- Cube (n³)
- 113,604,938,477,568,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,527,120
- φ(n) — Euler's totient
- 129,024
- Sum of prime factors
- 1,027
Primality
Prime factorization: 2 5 × 3 × 5 × 1009
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√484,320 = [695; (1, 13, 2, 347, 2, 13, 1, 1390)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- four hundred eighty-four thousand three hundred twenty
- Ordinal
- 484320th
- Binary
- 1110110001111100000
- Octal
- 1661740
- Hexadecimal
- 0x763E0
- Base64
- B2Pg
- One's complement
- 4,294,482,975 (32-bit)
- Scientific notation
- 4.8432 × 10⁵
- As a duration
- 484,320 s = 5 days, 14 hours, 32 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υπδτκʹ
- Chinese
- 四十八萬四千三百二十
- Chinese (financial)
- 肆拾捌萬肆仟參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 484320, here are decompositions:
- 17 + 484303 = 484320
- 19 + 484301 = 484320
- 37 + 484283 = 484320
- 61 + 484259 = 484320
- 113 + 484207 = 484320
- 127 + 484193 = 484320
- 139 + 484181 = 484320
- 149 + 484171 = 484320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.99.224.
- Address
- 0.7.99.224
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.99.224
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 484,320 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 484320 first appears in π at position 412,054 of the decimal expansion (the 412,054ordinal-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°.