Live analysis

3,324

3,324 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.).

3,324 (three thousand three hundred twenty-four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 277. Its proper divisors sum to 4,460, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCCCXXIV and in binary, 110011111100.

Abundant Number Cube-Free Evil Number Harshad / Niven Moran Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,312 3,313 3,314 3,315 3,316 3,317 3,318 3,319 3,320 3,321 3,322 3,323 3,324 3,325 3,326 3,327 3,328 3,329 3,330 3,331 3,332 3,333 3,334 3,335 3,336

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 72
Digital root: 3
Palindrome: No
Bit width: 12 bits
Reversed: 4,233
Recamán's sequence: a(6,700) = 3,324
Square (n²): 11,048,976
Cube (n³): 36,726,796,224
Divisor count: 12
σ(n) — sum of divisors: 7,784
φ(n) — Euler's totient: 1,104
Sum of prime factors: 284

Primality

Prime factorization: 2 ² × 3 × 277

Nearest primes: 3,323 (−1) · 3,329 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 277 · 554 · 831 · 1108 · 1662 (half) · 3324

Aliquot sum (sum of proper divisors): 4,460

Factor pairs (a × b = 3,324)

1 × 3324

2 × 1662

3 × 1108

4 × 831

6 × 554

12 × 277

First multiples

3,324 · 6,648 (double) · 9,972 · 13,296 · 16,620 · 19,944 · 23,268 · 26,592 · 29,916 · 33,240

Sums & aliquot sequence

As consecutive integers: 1,107 + 1,108 + 1,109 412 + 413 + … + 419 127 + 128 + … + 150

Aliquot sequence: 3,324 → 4,460 → 4,948 → 3,718 → 2,870 → 3,178 → 2,294 → 1,354 → 680 → 940 → 1,076 → 814 → 554 → 280 → 440 → 640 → 890 — unresolved within range

Continued fraction of √n

√3,324 = [57; (1, 1, 1, 8, 4, 1, 8, 1, 4, 8, 1, 1, 1, 114)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: three thousand three hundred twenty-four
Ordinal: 3324th
Roman numeral: MMMCCCXXIV
Binary: 110011111100
Octal: 6374
Hexadecimal: 0xCFC
Base64: DPw=
One's complement: 62,211 (16-bit)
Scientific notation: 3.324 × 10³
As a duration: 3,324 s = 55 minutes, 24 seconds

In other bases

ternary (3) 11120010

quaternary (4) 303330

quinary (5) 101244

senary (6) 23220

septenary (7) 12456

nonary (9) 4503

undecimal (11) 2552

duodecimal (12) 1b10

tridecimal (13) 1689

tetradecimal (14) 12d6

pentadecimal (15) eb9

Palindromic in base 11, base 16

As an angle

3,324° = 9 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γτκδʹ
Mayan (base 20): 𝋨·𝋦·𝋤
Chinese: 三千三百二十四
Chinese (financial): 參仟參佰貳拾肆

In other modern scripts

Eastern Arabic ٣٣٢٤ Devanagari ३३२४ Bengali ৩৩২৪ Tamil ௩௩௨௪ Thai ๓๓๒๔ Tibetan ༣༣༢༤ Khmer ៣៣២៤ Lao ໓໓໒໔ Burmese ၃၃၂၄

Digit at this position in famous constants

π — Pi (π): Digit 3,324 = 2
e — Euler's number (e): Digit 3,324 = 0
φ — Golden ratio (φ): Digit 3,324 = 6
√2 — Pythagoras's (√2): Digit 3,324 = 4
ln 2 — Natural log of 2: Digit 3,324 = 4
γ — Euler-Mascheroni (γ): Digit 3,324 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3324, here are decompositions:

5 + 3319 = 3324
11 + 3313 = 3324
17 + 3307 = 3324
23 + 3301 = 3324
53 + 3271 = 3324
67 + 3257 = 3324
71 + 3253 = 3324
73 + 3251 = 3324

Showing the first eight; more decompositions exist.

Hex color

#000CFC

RGB(0, 12, 252)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.252.

Address: 0.0.12.252
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.252

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

Musical pitch

Heard as a frequency, 3,324 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +1¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, +38¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +2¢)

Position in π

The digit sequence 3324 first appears in π at position 35,573 of the decimal expansion (the 35,573ordinal-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.

Look up 3324 on Pi Search ↗