Live analysis

3,340

3,340 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.).

3,340 (three thousand three hundred forty) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 167. Its proper divisors sum to 3,716, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCCCXL and in binary, 110100001100.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

3,328 3,329 3,330 3,331 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

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 12 bits
Reversed: 433
Recamán's sequence: a(29,464) = 3,340
Square (n²): 11,155,600
Cube (n³): 37,259,704,000
Divisor count: 12
σ(n) — sum of divisors: 7,056
φ(n) — Euler's totient: 1,328
Sum of prime factors: 176

Primality

Prime factorization: 2 ² × 5 × 167

Nearest primes: 3,331 (−9) · 3,343 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 167 · 334 · 668 · 835 · 1670 (half) · 3340

Aliquot sum (sum of proper divisors): 3,716

Factor pairs (a × b = 3,340)

1 × 3340

2 × 1670

4 × 835

5 × 668

10 × 334

20 × 167

First multiples

3,340 · 6,680 (double) · 10,020 · 13,360 · 16,700 · 20,040 · 23,380 · 26,720 · 30,060 · 33,400

Sums & aliquot sequence

As consecutive integers: 666 + 667 + 668 + 669 + 670 414 + 415 + … + 421 64 + 65 + … + 103

Aliquot sequence: 3,340 → 3,716 → 2,794 → 1,814 → 910 → 1,106 → 814 → 554 → 280 → 440 → 640 → 890 → 730 → 602 → 454 → 230 → 202 — unresolved within range

Continued fraction of √n

√3,340 = [57; (1, 3, 1, 4, 1, 2, 2, 1, 1, 1, 1, 3, 2, 1, 2, 5, 7, 1, 1, 12, 3, 4, 2, 28, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: three thousand three hundred forty
Ordinal: 3340th
Roman numeral: MMMCCCXL
Binary: 110100001100
Octal: 6414
Hexadecimal: 0xD0C
Base64: DQw=
One's complement: 62,195 (16-bit)
Scientific notation: 3.34 × 10³
As a duration: 3,340 s = 55 minutes, 40 seconds

In other bases

ternary (3) 11120201

quaternary (4) 310030

quinary (5) 101330

senary (6) 23244

septenary (7) 12511

nonary (9) 4521

undecimal (11) 2567

duodecimal (12) 1b24

tridecimal (13) 169c

tetradecimal (14) 1308

pentadecimal (15) eca

As an angle

3,340° = 9 × 360° + 100°

100° ≈ 1.745 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵γτμʹ
Mayan (base 20): 𝋨·𝋧·𝋠
Chinese: 三千三百四十
Chinese (financial): 參仟參佰肆拾

In other modern scripts

Eastern Arabic ٣٣٤٠ Devanagari ३३४० Bengali ৩৩৪০ Tamil ௩௩௪௦ Thai ๓๓๔๐ Tibetan ༣༣༤༠ Khmer ៣៣៤០ Lao ໓໓໔໐ Burmese ၃၃၄၀

Digit at this position in famous constants

π — Pi (π): Digit 3,340 = 1
e — Euler's number (e): Digit 3,340 = 0
φ — Golden ratio (φ): Digit 3,340 = 2
√2 — Pythagoras's (√2): Digit 3,340 = 7
ln 2 — Natural log of 2: Digit 3,340 = 1
γ — Euler-Mascheroni (γ): Digit 3,340 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3340, here are decompositions:

11 + 3329 = 3340
17 + 3323 = 3340
41 + 3299 = 3340
83 + 3257 = 3340
89 + 3251 = 3340
131 + 3209 = 3340
137 + 3203 = 3340
149 + 3191 = 3340

Showing the first eight; more decompositions exist.

Unicode codepoint

ഌ

Malayalam Letter Vocalic L

U+0D0C

Other letter (Lo)

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

Lookup U+0D0C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D0C

RGB(0, 13, 12)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.12.

Address: 0.0.13.12
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.12

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

Musical pitch

Heard as a frequency, 3,340 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +9¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, +47¢ — about midway to A7)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +10¢)

Position in π

The digit sequence 3340 first appears in π at position 6,537 of the decimal expansion (the 6,537ordinal-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 3340 on Pi Search ↗