473,040
473,040 is a composite number, even.
473,040 (four hundred seventy-three thousand forty) is an even 6-digit number. It is a composite number with 100 divisors, and factors as 2⁴ × 3⁴ × 5 × 73. Its proper divisors sum to 1,192,404, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x737D0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 40,374
- Square (n²)
- 223,766,841,600
- Cube (n³)
- 105,850,666,750,464,000
- Divisor count
- 100
- σ(n) — sum of divisors
- 1,665,444
- φ(n) — Euler's totient
- 124,416
- Sum of prime factors
- 98
Primality
Prime factorization: 2 4 × 3 4 × 5 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√473,040 = [687; (1, 3, 1, 1, 9, 3, 1, 2, 2, 1, 1, 27, 2, 16, 2, 27, 1, 1, 2, 2, 1, 3, 9, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-three thousand forty
- Ordinal
- 473040th
- Binary
- 1110011011111010000
- Octal
- 1633720
- Hexadecimal
- 0x737D0
- Base64
- BzfQ
- One's complement
- 4,294,494,255 (32-bit)
- Scientific notation
- 4.7304 × 10⁵
- As a duration
- 473,040 s = 5 days, 11 hours, 24 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υογμʹ
- Chinese
- 四十七萬三千零四十
- Chinese (financial)
- 肆拾柒萬參仟零肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473040, here are decompositions:
- 13 + 473027 = 473040
- 19 + 473021 = 473040
- 31 + 473009 = 473040
- 47 + 472993 = 473040
- 101 + 472939 = 473040
- 103 + 472937 = 473040
- 131 + 472909 = 473040
- 157 + 472883 = 473040
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.208.
- Address
- 0.7.55.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.55.208
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 473,040 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 473040 first appears in π at position 900,414 of the decimal expansion (the 900,414ordinal-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°.