Live analysis

3,380

3,380 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.).

3,380 (three thousand three hundred eighty) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 5 × 13². Its proper divisors sum to 4,306, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCCCLXXX and in binary, 110100110100.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,368 3,369 3,370 3,371 3,372 3,373 3,374 3,375 3,376 3,377 3,378 3,379 3,380 3,381 3,382 3,383 3,384 3,385 3,386 3,387 3,388 3,389 3,390 3,391 3,392

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 833
Recamán's sequence: a(848) = 3,380
Square (n²): 11,424,400
Cube (n³): 38,614,472,000
Divisor count: 18
σ(n) — sum of divisors: 7,686
φ(n) — Euler's totient: 1,248
Sum of prime factors: 35

Primality

Prime factorization: 2 ² × 5 × 13 ²

Nearest primes: 3,373 (−7) · 3,389 (+9)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 5 · 10 · 13 · 20 · 26 · 52 · 65 · 130 · 169 · 260 · 338 · 676 · 845 · 1690 (half) · 3380

Aliquot sum (sum of proper divisors): 4,306

Factor pairs (a × b = 3,380)

1 × 3380

2 × 1690

4 × 845

5 × 676

10 × 338

13 × 260

20 × 169

26 × 130

52 × 65

First multiples

3,380 · 6,760 (double) · 10,140 · 13,520 · 16,900 · 20,280 · 23,660 · 27,040 · 30,420 · 33,800

Sums & aliquot sequence

As a sum of two squares: 4² + 58² = 26² + 52² = 38² + 44²

As consecutive integers: 674 + 675 + 676 + 677 + 678 419 + 420 + … + 426 254 + 255 + … + 266 65 + 66 + … + 104

Aliquot sequence: 3,380 → 4,306 → 2,156 → 2,632 → 3,128 → 3,352 → 2,948 → 2,764 → 2,080 → 3,212 → 3,004 → 2,260 → 2,528 → 2,512 → 2,386 → 1,196 → 1,156 — unresolved within range

Continued fraction of √n

√3,380 = [58; (7, 3, 1, 6, 1, 1, 28, 1, 1, 6, 1, 3, 7, 116)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: three thousand three hundred eighty
Ordinal: 3380th
Roman numeral: MMMCCCLXXX
Binary: 110100110100
Octal: 6464
Hexadecimal: 0xD34
Base64: DTQ=
One's complement: 62,155 (16-bit)
Scientific notation: 3.38 × 10³
As a duration: 3,380 s = 56 minutes, 20 seconds

In other bases

ternary (3) 11122012

quaternary (4) 310310

quinary (5) 102010

senary (6) 23352

septenary (7) 12566

nonary (9) 4565

undecimal (11) 25a3

duodecimal (12) 1b58

tridecimal (13) 1700

tetradecimal (14) 1336

pentadecimal (15) 1005

As an angle

3,380° = 9 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵γτπʹ
Mayan (base 20): 𝋨·𝋩·𝋠
Chinese: 三千三百八十
Chinese (financial): 參仟參佰捌拾

In other modern scripts

Eastern Arabic ٣٣٨٠ Devanagari ३३८० Bengali ৩৩৮০ Tamil ௩௩௮௦ Thai ๓๓๘๐ Tibetan ༣༣༨༠ Khmer ៣៣៨០ Lao ໓໓໘໐ Burmese ၃၃၈၀

Digit at this position in famous constants

π — Pi (π): Digit 3,380 = 5
e — Euler's number (e): Digit 3,380 = 3
φ — Golden ratio (φ): Digit 3,380 = 0
√2 — Pythagoras's (√2): Digit 3,380 = 0
ln 2 — Natural log of 2: Digit 3,380 = 6
γ — Euler-Mascheroni (γ): Digit 3,380 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3380, here are decompositions:

7 + 3373 = 3380
19 + 3361 = 3380
37 + 3343 = 3380
61 + 3319 = 3380
67 + 3313 = 3380
73 + 3307 = 3380
79 + 3301 = 3380
109 + 3271 = 3380

Showing the first eight; more decompositions exist.

Unicode codepoint

ഴ

Malayalam Letter Llla

U+0D34

Other letter (Lo)

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

Lookup U+0D34 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D34

RGB(0, 13, 52)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.52.

Address: 0.0.13.52
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.52

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

Musical pitch

Heard as a frequency, 3,380 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +30¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -33¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +31¢)

Position in π

The digit sequence 3380 first appears in π at position 10,417 of the decimal expansion (the 10,417ordinal-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 3380 on Pi Search ↗