3,384
3,384 is a composite number, even.
3,384 (three thousand three hundred eighty-four) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 47. Its proper divisors sum to 5,976, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCCCLXXXIV and in binary, 110100111000.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 18
- Digit product
- 288
- Digital root
- 9
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 4,833
- Recamán's sequence
- a(856) = 3,384
- Square (n²)
- 11,451,456
- Cube (n³)
- 38,751,727,104
- Divisor count
- 24
- σ(n) — sum of divisors
- 9,360
- φ(n) — Euler's totient
- 1,104
- Sum of prime factors
- 59
Primality
Prime factorization: 2 3 × 3 2 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√3,384 = [58; (5, 1, 4, 4, 2, 4, 4, 1, 5, 116)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- three thousand three hundred eighty-four
- Ordinal
- 3384th
- Roman numeral
- MMMCCCLXXXIV
- Binary
- 110100111000
- Octal
- 6470
- Hexadecimal
- 0xD38
- Base64
- DTg=
- One's complement
- 62,151 (16-bit)
- Scientific notation
- 3.384 × 10³
- As a duration
- 3,384 s = 56 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵γτπδʹ
- Mayan (base 20)
- 𝋨·𝋩·𝋤
- Chinese
- 三千三百八十四
- Chinese (financial)
- 參仟參佰捌拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 3,384 = 7
- e — Euler's number (e)
- Digit 3,384 = 8
- φ — Golden ratio (φ)
- Digit 3,384 = 9
- √2 — Pythagoras's (√2)
- Digit 3,384 = 7
- ln 2 — Natural log of 2
- Digit 3,384 = 4
- γ — Euler-Mascheroni (γ)
- Digit 3,384 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3384, here are decompositions:
- 11 + 3373 = 3384
- 13 + 3371 = 3384
- 23 + 3361 = 3384
- 37 + 3347 = 3384
- 41 + 3343 = 3384
- 53 + 3331 = 3384
- 61 + 3323 = 3384
- 71 + 3313 = 3384
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 B4 B8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.56.
- Address
- 0.0.13.56
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.13.56
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 3,384 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +32¢)
- Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -31¢)
- Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +33¢)
The digit sequence 3384 first appears in π at position 11,385 of the decimal expansion (the 11,385ordinal-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°.