Live analysis

3,640

3,640 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.).

3,640 (three thousand six hundred forty) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 7 × 13. Its proper divisors sum to 6,440, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMDCXL and in binary, 111000111000.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,628 3,629 3,630 3,631 3,632 3,633 3,634 3,635 3,636 3,637 3,638 3,639 3,640 3,641 3,642 3,643 3,644 3,645 3,646 3,647 3,648 3,649 3,650 3,651 3,652

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 12 bits
Reversed: 463
Recamán's sequence: a(29,196) = 3,640
Square (n²): 13,249,600
Cube (n³): 48,228,544,000
Divisor count: 32
σ(n) — sum of divisors: 10,080
φ(n) — Euler's totient: 1,152
Sum of prime factors: 31

Primality

Prime factorization: 2 ³ × 5 × 7 × 13

Nearest primes: 3,637 (−3) · 3,643 (+3)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 13 · 14 · 20 · 26 · 28 · 35 · 40 · 52 · 56 · 65 · 70 · 91 · 104 · 130 · 140 · 182 · 260 · 280 · 364 · 455 · 520 · 728 · 910 · 1820 (half) · 3640

Aliquot sum (sum of proper divisors): 6,440

Factor pairs (a × b = 3,640)

1 × 3640

2 × 1820

4 × 910

5 × 728

7 × 520

8 × 455

10 × 364

13 × 280

14 × 260

20 × 182

26 × 140

28 × 130

35 × 104

40 × 91

52 × 70

56 × 65

First multiples

3,640 · 7,280 (double) · 10,920 · 14,560 · 18,200 · 21,840 · 25,480 · 29,120 · 32,760 · 36,400

Sums & aliquot sequence

As consecutive integers: 726 + 727 + 728 + 729 + 730 517 + 518 + … + 523 274 + 275 + … + 286 220 + 221 + … + 235

Aliquot sequence: 3,640 → 6,440 → 10,840 → 13,640 → 20,920 → 26,240 → 38,020 → 41,864 → 36,646 → 19,298 → 9,652 → 8,268 → 12,900 → 25,292 → 18,976 → 18,446 → 10,498 — unresolved within range

Continued fraction of √n

√3,640 = [60; (3, 120)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: three thousand six hundred forty
Ordinal: 3640th
Roman numeral: MMMDCXL
Binary: 111000111000
Octal: 7070
Hexadecimal: 0xE38
Base64: Djg=
One's complement: 61,895 (16-bit)
Scientific notation: 3.64 × 10³
As a duration: 3,640 s = 1 hour, 40 seconds

In other bases

ternary (3) 11222211

quaternary (4) 320320

quinary (5) 104030

senary (6) 24504

septenary (7) 13420

nonary (9) 4884

undecimal (11) 280a

duodecimal (12) 2134

tridecimal (13) 1870

tetradecimal (14) 1480

pentadecimal (15) 112a

Palindromic in base 3, base 9

As an angle

3,640° = 10 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 · 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵γχμʹ
Mayan (base 20): 𝋩·𝋢·𝋠
Chinese: 三千六百四十
Chinese (financial): 參仟陸佰肆拾

In other modern scripts

Eastern Arabic ٣٦٤٠ Devanagari ३६४० Bengali ৩৬৪০ Tamil ௩௬௪௦ Thai ๓๖๔๐ Tibetan ༣༦༤༠ Khmer ៣៦៤០ Lao ໓໖໔໐ Burmese ၃၆၄၀

Digit at this position in famous constants

π — Pi (π): Digit 3,640 = 9
e — Euler's number (e): Digit 3,640 = 9
φ — Golden ratio (φ): Digit 3,640 = 2
√2 — Pythagoras's (√2): Digit 3,640 = 7
ln 2 — Natural log of 2: Digit 3,640 = 0
γ — Euler-Mascheroni (γ): Digit 3,640 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3640, here are decompositions:

3 + 3637 = 3640
17 + 3623 = 3640
23 + 3617 = 3640
47 + 3593 = 3640
59 + 3581 = 3640
83 + 3557 = 3640
101 + 3539 = 3640
107 + 3533 = 3640

Showing the first eight; more decompositions exist.

Unicode codepoint

ุ

Thai Character Sara U

U+0E38

Non-spacing mark (Mn)

UTF-8 encoding: E0 B8 B8 (3 bytes).

Lookup U+0E38 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000E38

RGB(0, 14, 56)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.56.

Address: 0.0.14.56
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.14.56

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

Musical pitch

Heard as a frequency, 3,640 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, -42¢)
Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, -4¢)
Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, -41¢)

Position in π

The digit sequence 3640 first appears in π at position 10,156 of the decimal expansion (the 10,156ordinal-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 3640 on Pi Search ↗