134,400
134,400 is a composite number, even.
134,400 (one hundred thirty-four thousand four hundred) is an even 6-digit number. It is a composite number with 108 divisors, and factors as 2⁸ × 3 × 5² × 7. Its proper divisors sum to 372,512, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20D00.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 4,431
- Square (n²)
- 18,063,360,000
- Cube (n³)
- 2,427,715,584,000,000
- Divisor count
- 108
- σ(n) — sum of divisors
- 506,912
- φ(n) — Euler's totient
- 30,720
- Sum of prime factors
- 36
Primality
Prime factorization: 2 8 × 3 × 5 2 × 7
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√134,400 = [366; (1, 1, 1, 1, 6, 183, 6, 1, 1, 1, 1, 732)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-four thousand four hundred
- Ordinal
- 134400th
- Binary
- 100000110100000000
- Octal
- 406400
- Hexadecimal
- 0x20D00
- Base64
- Ag0A
- One's complement
- 4,294,832,895 (32-bit)
- Scientific notation
- 1.344 × 10⁵
- As a duration
- 134,400 s = 1 day, 13 hours, 20 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρλδυʹ
- Mayan (base 20)
- 𝋰·𝋰·𝋠·𝋠
- Chinese
- 一十三萬四千四百
- Chinese (financial)
- 壹拾參萬肆仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134400, here are decompositions:
- 29 + 134371 = 134400
- 31 + 134369 = 134400
- 37 + 134363 = 134400
- 41 + 134359 = 134400
- 47 + 134353 = 134400
- 59 + 134341 = 134400
- 61 + 134339 = 134400
- 67 + 134333 = 134400
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 B4 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.13.0.
- Address
- 0.2.13.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.13.0
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 134,400 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 134400 first appears in π at position 39,609 of the decimal expansion (the 39,609ordinal-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°.