164,400
164,400 is a composite number, even.
164,400 (one hundred sixty-four thousand four hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 5² × 137. Its proper divisors sum to 366,072, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28230.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 4,461
- Recamán's sequence
- a(52,032) = 164,400
- Square (n²)
- 27,027,360,000
- Cube (n³)
- 4,443,297,984,000,000
- Divisor count
- 60
- σ(n) — sum of divisors
- 530,472
- φ(n) — Euler's totient
- 43,520
- Sum of prime factors
- 158
Primality
Prime factorization: 2 4 × 3 × 5 2 × 137
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√164,400 = [405; (2, 6, 4, 1, 17, 1, 1, 1, 1, 1, 17, 1, 4, 6, 2, 810)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixty-four thousand four hundred
- Ordinal
- 164400th
- Binary
- 101000001000110000
- Octal
- 501060
- Hexadecimal
- 0x28230
- Base64
- AoIw
- One's complement
- 4,294,802,895 (32-bit)
- Scientific notation
- 1.644 × 10⁵
- As a duration
- 164,400 s = 1 day, 21 hours, 40 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρξδυʹ
- Chinese
- 一十六萬四千四百
- Chinese (financial)
- 壹拾陸萬肆仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164400, here are decompositions:
- 13 + 164387 = 164400
- 23 + 164377 = 164400
- 29 + 164371 = 164400
- 37 + 164363 = 164400
- 43 + 164357 = 164400
- 59 + 164341 = 164400
- 79 + 164321 = 164400
- 101 + 164299 = 164400
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A8 88 B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.130.48.
- Address
- 0.2.130.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.130.48
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 164,400 and was likely granted around 1874.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 164400 first appears in π at position 238,901 of the decimal expansion (the 238,901ordinal-suffix:st 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°.