474,400
474,400 is a composite number, even.
474,400 (four hundred seventy-four thousand four hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 5² × 593. Its proper divisors sum to 685,682, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73D20.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 4,474
- Square (n²)
- 225,055,360,000
- Cube (n³)
- 106,766,262,784,000,000
- Divisor count
- 36
- σ(n) — sum of divisors
- 1,160,082
- φ(n) — Euler's totient
- 189,440
- Sum of prime factors
- 613
Primality
Prime factorization: 2 5 × 5 2 × 593
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√474,400 = [688; (1, 3, 3, 2, 2, 1, 3, 4, 1, 1, 1, 2, 1, 1, 2, 13, 2, 1, 1, 2, 1, 1, 1, 4, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-four thousand four hundred
- Ordinal
- 474400th
- Binary
- 1110011110100100000
- Octal
- 1636440
- Hexadecimal
- 0x73D20
- Base64
- Bz0g
- One's complement
- 4,294,492,895 (32-bit)
- Scientific notation
- 4.744 × 10⁵
- As a duration
- 474,400 s = 5 days, 11 hours, 46 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵υοδυʹ
- Chinese
- 四十七萬四千四百
- Chinese (financial)
- 肆拾柒萬肆仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474400, here are decompositions:
- 11 + 474389 = 474400
- 41 + 474359 = 474400
- 53 + 474347 = 474400
- 89 + 474311 = 474400
- 137 + 474263 = 474400
- 257 + 474143 = 474400
- 263 + 474137 = 474400
- 281 + 474119 = 474400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.61.32.
- Address
- 0.7.61.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.61.32
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 474,400 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 474400 first appears in π at position 701,085 of the decimal expansion (the 701,085ordinal-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°.