number.wiki
Number

4,349

4,349 is a prime, odd.

4,349 (four thousand three hundred forty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x10FD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Self Number Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
20
Digit product
432
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
9,434
Recamán's sequence
a(14,009) = 4,349
Square (n²)
18,913,801
Cube (n³)
82,256,120,549
Divisor count
2
σ(n) — sum of divisors
4,350
φ(n) — Euler's totient
4,348

Primality

4,349 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4349
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,349)
1 × 4349
First multiples
4,349 · 8,698 (double) · 13,047 · 17,396 · 21,745 · 26,094 · 30,443 · 34,792 · 39,141 · 43,490

Sums & aliquot sequence

As a sum of two squares: 43² + 50²
As consecutive integers: 2,174 + 2,175

Continued fraction of √n

√4,349 = [65; (1, 17, 1, 5, 1, 1, 1, 5, 11, 1, 4, 2, 1, 3, 1, 6, 6, 2, 4, 4, 32, 1, 2, 1, …)]

Representations

In words
four thousand three hundred forty-nine
Ordinal
4349th
Binary
1000011111101
Octal
10375
Hexadecimal
0x10FD
Base64
EP0=
One's complement
61,186 (16-bit)
Scientific notation
4.349 × 10³
As a duration
4,349 s = 1 hour, 12 minutes, 29 seconds
In other bases
ternary (3) 12222002
quaternary (4) 1003331
quinary (5) 114344
senary (6) 32045
septenary (7) 15452
nonary (9) 5862
undecimal (11) 32a4
duodecimal (12) 2625
tridecimal (13) 1c97
tetradecimal (14) 1829
pentadecimal (15) 144e

As an angle

4,349° = 12 × 360° + 29°
29° ≈ 0.506 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δτμθʹ
Mayan (base 20)
𝋪·𝋱·𝋩
Chinese
四千三百四十九
Chinese (financial)
肆仟參佰肆拾玖
In other modern scripts
Eastern Arabic ٤٣٤٩ Devanagari ४३४९ Bengali ৪৩৪৯ Tamil ௪௩௪௯ Thai ๔๓๔๙ Tibetan ༤༣༤༩ Khmer ៤៣៤៩ Lao ໔໓໔໙ Burmese ၄၃၄၉

Digit at this position in famous constants

π — Pi (π)
Digit 4,349 = 2
e — Euler's number (e)
Digit 4,349 = 7
φ — Golden ratio (φ)
Digit 4,349 = 8
√2 — Pythagoras's (√2)
Digit 4,349 = 8
ln 2 — Natural log of 2
Digit 4,349 = 1
γ — Euler-Mascheroni (γ)
Digit 4,349 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,339 (gap of 10)
  • Next prime: 4,357 (gap of 8)
Unicode codepoint
Georgian Letter Aen
U+10FD
Lowercase letter (Ll)

UTF-8 encoding: E1 83 BD (3 bytes).

Hex color
#0010FD
RGB(0, 16, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.253.

Address
0.0.16.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.253

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 4,349 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯8 (4434.9 Hz, -34¢)
  • Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, +4¢)
  • Baroque pitch (A4 = 415 Hz): D8 (4431.7 Hz, -33¢)
Position in π

The digit sequence 4349 first appears in π at position 22,021 of the decimal expansion (the 22,021ordinal-suffix:st 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.