138,384
138,384 is a composite number, even.
138,384 (one hundred thirty-eight thousand three hundred eighty-four) is an even 6-digit number. It is a composite number with 45 divisors, and factors as 2⁴ × 3² × 31². Its proper divisors sum to 261,795, more than the number itself, making it an abundant number. It is a perfect square (372²). Written other ways, in hexadecimal, 0x21C90.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 2,304
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 483,831
- Recamán's sequence
- a(492,059) = 138,384
- Square (n²)
- 19,150,131,456
- Cube (n³)
- 2,650,071,791,407,104
- Square root (√n)
- 372
- Divisor count
- 45
- σ(n) — sum of divisors
- 400,179
- φ(n) — Euler's totient
- 44,640
- Sum of prime factors
- 76
Primality
Prime factorization: 2 4 × 3 2 × 31 2
Divisors & multiples
Sums & aliquot sequence
Representations
- In words
- one hundred thirty-eight thousand three hundred eighty-four
- Ordinal
- 138384th
- Binary
- 100001110010010000
- Octal
- 416220
- Hexadecimal
- 0x21C90
- Base64
- AhyQ
- One's complement
- 4,294,828,911 (32-bit)
- Scientific notation
- 1.38384 × 10⁵
- As a duration
- 138,384 s = 1 day, 14 hours, 26 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλητπδʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋳·𝋤
- Chinese
- 一十三萬八千三百八十四
- Chinese (financial)
- 壹拾參萬捌仟參佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138384, here are decompositions:
- 11 + 138373 = 138384
- 13 + 138371 = 138384
- 47 + 138337 = 138384
- 61 + 138323 = 138384
- 73 + 138311 = 138384
- 101 + 138283 = 138384
- 137 + 138247 = 138384
- 193 + 138191 = 138384
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B2 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.144.
- Address
- 0.2.28.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.28.144
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 138,384 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 138384 first appears in π at position 583,053 of the decimal expansion (the 583,053ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.