Live analysis

3,344

3,344 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

3,344 (three thousand three hundred forty-four) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 19. Its proper divisors sum to 4,096, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCCCXLIV and in binary, 110100010000.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

3,332 3,333 3,334 3,335 3,336 3,337 3,338 3,339 3,340 3,341 3,342 3,343 3,344 3,345 3,346 3,347 3,348 3,349 3,350 3,351 3,352 3,353 3,354 3,355 3,356

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 14
Digit product: 144
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 4,433
Recamán's sequence: a(29,456) = 3,344
Square (n²): 11,182,336
Cube (n³): 37,393,731,584
Divisor count: 20
σ(n) — sum of divisors: 7,440
φ(n) — Euler's totient: 1,440
Sum of prime factors: 38

Primality

Prime factorization: 2 ⁴ × 11 × 19

Nearest primes: 3,343 (−1) · 3,347 (+3)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 11 · 16 · 19 · 22 · 38 · 44 · 76 · 88 · 152 · 176 · 209 · 304 · 418 · 836 · 1672 (half) · 3344

Aliquot sum (sum of proper divisors): 4,096

Factor pairs (a × b = 3,344)

1 × 3344

2 × 1672

4 × 836

8 × 418

11 × 304

16 × 209

19 × 176

22 × 152

38 × 88

44 × 76

First multiples

3,344 · 6,688 (double) · 10,032 · 13,376 · 16,720 · 20,064 · 23,408 · 26,752 · 30,096 · 33,440

Sums & aliquot sequence

As consecutive integers: 299 + 300 + … + 309 167 + 168 + … + 185 89 + 90 + … + 120

Aliquot sequence: 3,344 → 4,096 → 4,095 → 4,641 → 3,423 → 1,825 → 469 → 75 → 49 → 8 → 7 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,344 = [57; (1, 4, 1, 3, 1, 3, 1, 4, 1, 114)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: three thousand three hundred forty-four
Ordinal: 3344th
Roman numeral: MMMCCCXLIV
Binary: 110100010000
Octal: 6420
Hexadecimal: 0xD10
Base64: DRA=
One's complement: 62,191 (16-bit)
Scientific notation: 3.344 × 10³
As a duration: 3,344 s = 55 minutes, 44 seconds

In other bases

ternary (3) 11120212

quaternary (4) 310100

quinary (5) 101334

senary (6) 23252

septenary (7) 12515

nonary (9) 4525

undecimal (11) 2570

duodecimal (12) 1b28

tridecimal (13) 16a3

tetradecimal (14) 130c

pentadecimal (15) ece

Palindromic in base 15

As an angle

3,344° = 9 × 360° + 104°

104° ≈ 1.815 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γτμδʹ
Mayan (base 20): 𝋨·𝋧·𝋤
Chinese: 三千三百四十四
Chinese (financial): 參仟參佰肆拾肆

In other modern scripts

Eastern Arabic ٣٣٤٤ Devanagari ३३४४ Bengali ৩৩৪৪ Tamil ௩௩௪௪ Thai ๓๓๔๔ Tibetan ༣༣༤༤ Khmer ៣៣៤៤ Lao ໓໓໔໔ Burmese ၃၃၄၄

Digit at this position in famous constants

π — Pi (π): Digit 3,344 = 1
e — Euler's number (e): Digit 3,344 = 5
φ — Golden ratio (φ): Digit 3,344 = 2
√2 — Pythagoras's (√2): Digit 3,344 = 4
ln 2 — Natural log of 2: Digit 3,344 = 8
γ — Euler-Mascheroni (γ): Digit 3,344 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3344, here are decompositions:

13 + 3331 = 3344
31 + 3313 = 3344
37 + 3307 = 3344
43 + 3301 = 3344
73 + 3271 = 3344
127 + 3217 = 3344
157 + 3187 = 3344
163 + 3181 = 3344

Showing the first eight; more decompositions exist.

Unicode codepoint

ഐ

Malayalam Letter Ai

U+0D10

Other letter (Lo)

UTF-8 encoding: E0 B4 90 (3 bytes).

Lookup U+0D10 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D10

RGB(0, 13, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.16.

Address: 0.0.13.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.16

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

Musical pitch

Heard as a frequency, 3,344 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +11¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, +49¢ — about midway to A7)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +12¢)

Position in π

The digit sequence 3344 first appears in π at position 215 of the decimal expansion (the 215ordinal-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.

Look up 3344 on Pi Search ↗