Live analysis

3,360

3,360 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.).

3,360 (three thousand three hundred sixty) is an even 4-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 7. Its proper divisors sum to 8,736, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCCCLX and in binary, 110100100000.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Highly Abundant Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

3,348 3,349 3,350 3,351 3,352 3,353 3,354 3,355 3,356 3,357 3,358 3,359 3,360 3,361 3,362 3,363 3,364 3,365 3,366 3,367 3,368 3,369 3,370 3,371 3,372

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 12 bits
Reversed: 633
Recamán's sequence: a(29,424) = 3,360
Square (n²): 11,289,600
Cube (n³): 37,933,056,000
Divisor count: 48
σ(n) — sum of divisors: 12,096
φ(n) — Euler's totient: 768
Sum of prime factors: 25

Primality

Prime factorization: 2 ⁵ × 3 × 5 × 7

Nearest primes: 3,359 (−1) · 3,361 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 32 · 35 · 40 · 42 · 48 · 56 · 60 · 70 · 80 · 84 · 96 · 105 · 112 · 120 · 140 · 160 · 168 · 210 · 224 · 240 · 280 · 336 · 420 · 480 · 560 · 672 · 840 · 1120 · 1680 (half) · 3360

Aliquot sum (sum of proper divisors): 8,736

Factor pairs (a × b = 3,360)

1 × 3360

2 × 1680

3 × 1120

4 × 840

5 × 672

6 × 560

7 × 480

8 × 420

10 × 336

12 × 280

14 × 240

15 × 224

16 × 210

20 × 168

21 × 160

24 × 140

28 × 120

30 × 112

32 × 105

35 × 96

40 × 84

42 × 80

48 × 70

56 × 60

First multiples

3,360 · 6,720 (double) · 10,080 · 13,440 · 16,800 · 20,160 · 23,520 · 26,880 · 30,240 · 33,600

Sums & aliquot sequence

As consecutive integers: 1,119 + 1,120 + 1,121 670 + 671 + 672 + 673 + 674 477 + 478 + … + 483 217 + 218 + … + 231

Aliquot sequence: 3,360 → 8,736 → 19,488 → 40,992 → 84,000 → 230,496 → 475,356 → 792,484 → 1,013,852 → 1,013,908 → 1,058,092 → 1,264,340 → 2,049,964 → 2,123,576 → 2,778,664 → 3,492,536 → 3,077,104 — unresolved within range

Continued fraction of √n

√3,360 = [57; (1, 27, 1, 114)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: three thousand three hundred sixty
Ordinal: 3360th
Roman numeral: MMMCCCLX
Binary: 110100100000
Octal: 6440
Hexadecimal: 0xD20
Base64: DSA=
One's complement: 62,175 (16-bit)
Scientific notation: 3.36 × 10³
As a duration: 3,360 s = 56 minutes

In other bases

ternary (3) 11121110

quaternary (4) 310200

quinary (5) 101420

senary (6) 23320

septenary (7) 12540

nonary (9) 4543

undecimal (11) 2585

duodecimal (12) 1b40

tridecimal (13) 16b6

tetradecimal (14) 1320

pentadecimal (15) ee0

As an angle

3,360° = 9 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵γτξʹ
Mayan (base 20): 𝋨·𝋨·𝋠
Chinese: 三千三百六十
Chinese (financial): 參仟參佰陸拾

In other modern scripts

Eastern Arabic ٣٣٦٠ Devanagari ३३६० Bengali ৩৩৬০ Tamil ௩௩௬௦ Thai ๓๓๖๐ Tibetan ༣༣༦༠ Khmer ៣៣៦០ Lao ໓໓໖໐ Burmese ၃၃၆၀

Digit at this position in famous constants

π — Pi (π): Digit 3,360 = 9
e — Euler's number (e): Digit 3,360 = 9
φ — Golden ratio (φ): Digit 3,360 = 2
√2 — Pythagoras's (√2): Digit 3,360 = 9
ln 2 — Natural log of 2: Digit 3,360 = 9
γ — Euler-Mascheroni (γ): Digit 3,360 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3360, here are decompositions:

13 + 3347 = 3360
17 + 3343 = 3360
29 + 3331 = 3360
31 + 3329 = 3360
37 + 3323 = 3360
41 + 3319 = 3360
47 + 3313 = 3360
53 + 3307 = 3360

Showing the first eight; more decompositions exist.

Unicode codepoint

ഠ

Malayalam Letter Ttha

U+0D20

Other letter (Lo)

UTF-8 encoding: E0 B4 A0 (3 bytes).

Lookup U+0D20 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D20

RGB(0, 13, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.32.

Address: 0.0.13.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.32

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

Musical pitch

Heard as a frequency, 3,360 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +19¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -43¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +21¢)

Position in π

The digit sequence 3360 first appears in π at position 5,420 of the decimal expansion (the 5,420ordinal-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 3360 on Pi Search ↗