Live analysis

2,440

2,440 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.).

2,440 (two thousand four hundred forty) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 61. Its proper divisors sum to 3,140, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCDXL and in binary, 100110001000.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

2,428 2,429 2,430 2,431 2,432 2,433 2,434 2,435 2,436 2,437 2,438 2,439 2,440 2,441 2,442 2,443 2,444 2,445 2,446 2,447 2,448 2,449 2,450 2,451 2,452

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 12 bits
Reversed: 442
Recamán's sequence: a(3,059) = 2,440
Square (n²): 5,953,600
Cube (n³): 14,526,784,000
Divisor count: 16
σ(n) — sum of divisors: 5,580
φ(n) — Euler's totient: 960
Sum of prime factors: 72

Primality

Prime factorization: 2 ³ × 5 × 61

Nearest primes: 2,437 (−3) · 2,441 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 61 · 122 · 244 · 305 · 488 · 610 · 1220 (half) · 2440

Aliquot sum (sum of proper divisors): 3,140

Factor pairs (a × b = 2,440)

1 × 2440

2 × 1220

4 × 610

5 × 488

8 × 305

10 × 244

20 × 122

40 × 61

First multiples

2,440 · 4,880 (double) · 7,320 · 9,760 · 12,200 · 14,640 · 17,080 · 19,520 · 21,960 · 24,400

Sums & aliquot sequence

As a sum of two squares: 18² + 46² = 26² + 42²

As consecutive integers: 486 + 487 + 488 + 489 + 490 145 + 146 + … + 160 10 + 11 + … + 70

Aliquot sequence: 2,440 → 3,140 → 3,496 → 3,704 → 3,256 → 3,584 → 4,600 → 6,560 → 9,316 → 8,072 → 7,078 → 3,542 → 3,370 → 2,714 → 1,606 → 1,058 → 601 — unresolved within range

Continued fraction of √n

√2,440 = [49; (2, 1, 1, 10, 2, 1, 1, 1, 5, 1, 23, 1, 5, 1, 1, 1, 2, 10, 1, 1, 2, 98)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: two thousand four hundred forty
Ordinal: 2440th
Roman numeral: MMCDXL
Binary: 100110001000
Octal: 4610
Hexadecimal: 0x988
Base64: CYg=
One's complement: 63,095 (16-bit)
Scientific notation: 2.44 × 10³
As a duration: 2,440 s = 40 minutes, 40 seconds

In other bases

ternary (3) 10100101

quaternary (4) 212020

quinary (5) 34230

senary (6) 15144

septenary (7) 10054

nonary (9) 3311

undecimal (11) 1919

duodecimal (12) 14b4

tridecimal (13) 1159

tetradecimal (14) c64

pentadecimal (15) aca

Palindromic in base 3, base 15

As an angle

2,440° = 6 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵βυμʹ
Mayan (base 20): 𝋦·𝋢·𝋠
Chinese: 二千四百四十
Chinese (financial): 貳仟肆佰肆拾

In other modern scripts

Eastern Arabic ٢٤٤٠ Devanagari २४४० Bengali ২৪৪০ Tamil ௨௪௪௦ Thai ๒๔๔๐ Tibetan ༢༤༤༠ Khmer ២៤៤០ Lao ໒໔໔໐ Burmese ၂၄၄၀

Digit at this position in famous constants

π — Pi (π): Digit 2,440 = 4
e — Euler's number (e): Digit 2,440 = 1
φ — Golden ratio (φ): Digit 2,440 = 6
√2 — Pythagoras's (√2): Digit 2,440 = 9
ln 2 — Natural log of 2: Digit 2,440 = 2
γ — Euler-Mascheroni (γ): Digit 2,440 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2440, here are decompositions:

3 + 2437 = 2440
17 + 2423 = 2440
23 + 2417 = 2440
29 + 2411 = 2440
41 + 2399 = 2440
47 + 2393 = 2440
59 + 2381 = 2440
83 + 2357 = 2440

Showing the first eight; more decompositions exist.

Unicode codepoint

ঈ

Bengali Letter II

U+0988

Other letter (Lo)

UTF-8 encoding: E0 A6 88 (3 bytes).

Lookup U+0988 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000988

RGB(0, 9, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.136.

Address: 0.0.9.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.9.136

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

Musical pitch

Heard as a frequency, 2,440 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯7 (2489 Hz, -34¢)
Scientific pitch (C4 = 256 Hz): D♯7 (2435.5 Hz, +3¢)
Baroque pitch (A4 = 415 Hz): E7 (2487.2 Hz, -33¢)

Position in π

The digit sequence 2440 first appears in π at position 510 of the decimal expansion (the 510ordinal-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 2440 on Pi Search ↗