Live analysis

2,340

2,340 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.).

2,340 (two thousand three hundred forty) is an even 4-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 5 × 13. Its proper divisors sum to 5,304, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCCCXL and in binary, 100100100100.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Highly Abundant Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

2,328 2,329 2,330 2,331 2,332 2,333 2,334 2,335 2,336 2,337 2,338 2,339 2,340 2,341 2,342 2,343 2,344 2,345 2,346 2,347 2,348 2,349 2,350 2,351 2,352

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 432
Recamán's sequence: a(15,811) = 2,340
Square (n²): 5,475,600
Cube (n³): 12,812,904,000
Divisor count: 36
σ(n) — sum of divisors: 7,644
φ(n) — Euler's totient: 576
Sum of prime factors: 28

Primality

Prime factorization: 2 ² × 3 ² × 5 × 13

Nearest primes: 2,339 (−1) · 2,341 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 13 · 15 · 18 · 20 · 26 · 30 · 36 · 39 · 45 · 52 · 60 · 65 · 78 · 90 · 117 · 130 · 156 · 180 · 195 · 234 · 260 · 390 · 468 · 585 · 780 · 1170 (half) · 2340

Aliquot sum (sum of proper divisors): 5,304

Factor pairs (a × b = 2,340)

1 × 2340

2 × 1170

3 × 780

4 × 585

5 × 468

6 × 390

9 × 260

10 × 234

12 × 195

13 × 180

15 × 156

18 × 130

20 × 117

26 × 90

30 × 78

36 × 65

39 × 60

45 × 52

First multiples

2,340 · 4,680 (double) · 7,020 · 9,360 · 11,700 · 14,040 · 16,380 · 18,720 · 21,060 · 23,400

Sums & aliquot sequence

As a sum of two squares: 6² + 48² = 24² + 42²

As consecutive integers: 779 + 780 + 781 466 + 467 + 468 + 469 + 470 289 + 290 + … + 296 256 + 257 + … + 264

Aliquot sequence: 2,340 → 5,304 → 9,816 → 14,784 → 33,984 → 65,076 → 116,364 → 155,180 → 170,740 → 187,856 → 184,144 → 194,180 → 303,100 → 450,324 → 851,340 → 1,874,292 → 3,230,220 — unresolved within range

Continued fraction of √n

√2,340 = [48; (2, 1, 2, 10, 2, 1, 2, 96)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: two thousand three hundred forty
Ordinal: 2340th
Roman numeral: MMCCCXL
Binary: 100100100100
Octal: 4444
Hexadecimal: 0x924
Base64: CSQ=
One's complement: 63,195 (16-bit)
Scientific notation: 2.34 × 10³
As a duration: 2,340 s = 39 minutes

In other bases

ternary (3) 10012200

quaternary (4) 210210

quinary (5) 33330

senary (6) 14500

septenary (7) 6552

nonary (9) 3180

undecimal (11) 1838

duodecimal (12) 1430

tridecimal (13) 10b0

tetradecimal (14) bd2

pentadecimal (15) a60

Palindromic in base 8

As an angle

2,340° = 6 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵βτμʹ
Mayan (base 20): 𝋥·𝋱·𝋠
Chinese: 二千三百四十
Chinese (financial): 貳仟參佰肆拾

In other modern scripts

Eastern Arabic ٢٣٤٠ Devanagari २३४० Bengali ২৩৪০ Tamil ௨௩௪௦ Thai ๒๓๔๐ Tibetan ༢༣༤༠ Khmer ២៣៤០ Lao ໒໓໔໐ Burmese ၂၃၄၀

Digit at this position in famous constants

π — Pi (π): Digit 2,340 = 0
e — Euler's number (e): Digit 2,340 = 6
φ — Golden ratio (φ): Digit 2,340 = 3
√2 — Pythagoras's (√2): Digit 2,340 = 9
ln 2 — Natural log of 2: Digit 2,340 = 8
γ — Euler-Mascheroni (γ): Digit 2,340 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2340, here are decompositions:

7 + 2333 = 2340
29 + 2311 = 2340
31 + 2309 = 2340
43 + 2297 = 2340
47 + 2293 = 2340
53 + 2287 = 2340
59 + 2281 = 2340
67 + 2273 = 2340

Showing the first eight; more decompositions exist.

Unicode codepoint

त

Devanagari Letter Ta

U+0924

Other letter (Lo)

UTF-8 encoding: E0 A4 A4 (3 bytes).

Lookup U+0924 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000924

RGB(0, 9, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.36.

Address: 0.0.9.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.9.36

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

Musical pitch

Heard as a frequency, 2,340 Hz is closest to:

Concert pitch (A4 = 440 Hz): D7 (2349.3 Hz, -7¢)
Scientific pitch (C4 = 256 Hz): D7 (2298.8 Hz, +31¢)
Baroque pitch (A4 = 415 Hz): D♯7 (2347.6 Hz, -6¢)

Position in π

The digit sequence 2340 first appears in π at position 28,699 of the decimal expansion (the 28,699ordinal-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 2340 on Pi Search ↗