133,364
133,364 is a composite number, even.
133,364 (one hundred thirty-three thousand three hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 11 × 433. Its proper divisors sum to 158,284, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208F4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 648
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 463,331
- Recamán's sequence
- a(35,388) = 133,364
- Square (n²)
- 17,785,956,496
- Cube (n³)
- 2,372,006,302,132,544
- Divisor count
- 24
- σ(n) — sum of divisors
- 291,648
- φ(n) — Euler's totient
- 51,840
- Sum of prime factors
- 455
Primality
Prime factorization: 2 2 × 7 × 11 × 433
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,364 = [365; (5, 3, 1, 18, 1, 44, 1, 2, 3, 16, 3, 2, 1, 44, 1, 18, 1, 3, 5, 730)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand three hundred sixty-four
- Ordinal
- 133364th
- Binary
- 100000100011110100
- Octal
- 404364
- Hexadecimal
- 0x208F4
- Base64
- Agj0
- One's complement
- 4,294,833,931 (32-bit)
- Scientific notation
- 1.33364 × 10⁵
- As a duration
- 133,364 s = 1 day, 13 hours, 2 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγτξδʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋨·𝋤
- Chinese
- 一十三萬三千三百六十四
- Chinese (financial)
- 壹拾參萬參仟參佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133364, here are decompositions:
- 13 + 133351 = 133364
- 37 + 133327 = 133364
- 43 + 133321 = 133364
- 61 + 133303 = 133364
- 103 + 133261 = 133364
- 151 + 133213 = 133364
- 163 + 133201 = 133364
- 181 + 133183 = 133364
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A3 B4 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.244.
- Address
- 0.2.8.244
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.8.244
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 133,364 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 133364 first appears in π at position 463,663 of the decimal expansion (the 463,663ordinal-suffix:rd 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.