3,404
3,404 is a composite number, even.
3,404 (three thousand four hundred four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 23 × 37. Written other ways, in Roman numerals it is MMMCDIV and in binary, 110101001100.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 4,043
- Recamán's sequence
- a(15,083) = 3,404
- Square (n²)
- 11,587,216
- Cube (n³)
- 39,442,883,264
- Divisor count
- 12
- σ(n) — sum of divisors
- 6,384
- φ(n) — Euler's totient
- 1,584
- Sum of prime factors
- 64
Primality
Prime factorization: 2 2 × 23 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√3,404 = [58; (2, 1, 9, 1, 15, 1, 3, 4, 2, 2, 2, 1, 1, 28, 1, 1, 2, 2, 2, 4, 3, 1, 15, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- three thousand four hundred four
- Ordinal
- 3404th
- Roman numeral
- MMMCDIV
- Binary
- 110101001100
- Octal
- 6514
- Hexadecimal
- 0xD4C
- Base64
- DUw=
- One's complement
- 62,131 (16-bit)
- Scientific notation
- 3.404 × 10³
- As a duration
- 3,404 s = 56 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵γυδʹ
- Mayan (base 20)
- 𝋨·𝋪·𝋤
- Chinese
- 三千四百零四
- Chinese (financial)
- 參仟肆佰零肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 3,404 = 2
- e — Euler's number (e)
- Digit 3,404 = 9
- φ — Golden ratio (φ)
- Digit 3,404 = 4
- √2 — Pythagoras's (√2)
- Digit 3,404 = 7
- ln 2 — Natural log of 2
- Digit 3,404 = 3
- γ — Euler-Mascheroni (γ)
- Digit 3,404 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3404, here are decompositions:
- 13 + 3391 = 3404
- 31 + 3373 = 3404
- 43 + 3361 = 3404
- 61 + 3343 = 3404
- 73 + 3331 = 3404
- 97 + 3307 = 3404
- 103 + 3301 = 3404
- 151 + 3253 = 3404
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 B5 8C (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.76.
- Address
- 0.0.13.76
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.13.76
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 3,404 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +42¢)
- Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -20¢)
- Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +43¢)
The digit sequence 3404 first appears in π at position 4,478 of the decimal expansion (the 4,478ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.