Live analysis

4,340

4,340 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.).

4,340 (four thousand three hundred forty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 7 × 31. Its proper divisors sum to 6,412, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x10F4.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

4,328 4,329 4,330 4,331 4,332 4,333 4,334 4,335 4,336 4,337 4,338 4,339 4,340 4,341 4,342 4,343 4,344 4,345 4,346 4,347 4,348 4,349 4,350 4,351 4,352

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 13 bits
Reversed: 434
Recamán's sequence: a(14,027) = 4,340
Square (n²): 18,835,600
Cube (n³): 81,746,504,000
Divisor count: 24
σ(n) — sum of divisors: 10,752
φ(n) — Euler's totient: 1,440
Sum of prime factors: 47

Primality

Prime factorization: 2 ² × 5 × 7 × 31

Nearest primes: 4,339 (−1) · 4,349 (+9)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 31 · 35 · 62 · 70 · 124 · 140 · 155 · 217 · 310 · 434 · 620 · 868 · 1085 · 2170 (half) · 4340

Aliquot sum (sum of proper divisors): 6,412

Factor pairs (a × b = 4,340)

1 × 4340

2 × 2170

4 × 1085

5 × 868

7 × 620

10 × 434

14 × 310

20 × 217

28 × 155

31 × 140

35 × 124

62 × 70

First multiples

4,340 · 8,680 (double) · 13,020 · 17,360 · 21,700 · 26,040 · 30,380 · 34,720 · 39,060 · 43,400

Sums & aliquot sequence

As consecutive integers: 866 + 867 + 868 + 869 + 870 617 + 618 + … + 623 539 + 540 + … + 546 125 + 126 + … + 155

Aliquot sequence: 4,340 → 6,412 → 6,468 → 12,684 → 21,364 → 22,526 → 16,114 → 11,534 → 6,226 → 3,998 → 2,002 → 2,030 → 2,290 → 1,850 → 1,684 → 1,270 → 1,034 — unresolved within range

Continued fraction of √n

√4,340 = [65; (1, 7, 4, 7, 1, 130)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: four thousand three hundred forty
Ordinal: 4340th
Binary: 1000011110100
Octal: 10364
Hexadecimal: 0x10F4
Base64: EPQ=
One's complement: 61,195 (16-bit)
Scientific notation: 4.34 × 10³
As a duration: 4,340 s = 1 hour, 12 minutes, 20 seconds

In other bases

ternary (3) 12221202

quaternary (4) 1003310

quinary (5) 114330

senary (6) 32032

septenary (7) 15440

nonary (9) 5852

undecimal (11) 3296

duodecimal (12) 2618

tridecimal (13) 1c8b

tetradecimal (14) 1820

pentadecimal (15) 1445

As an angle

4,340° = 12 × 360° + 20°

20° ≈ 0.349 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵δτμʹ
Mayan (base 20): 𝋪·𝋱·𝋠
Chinese: 四千三百四十
Chinese (financial): 肆仟參佰肆拾

In other modern scripts

Eastern Arabic ٤٣٤٠ Devanagari ४३४० Bengali ৪৩৪০ Tamil ௪௩௪௦ Thai ๔๓๔๐ Tibetan ༤༣༤༠ Khmer ៤៣៤០ Lao ໔໓໔໐ Burmese ၄၃၄၀

Digit at this position in famous constants

π — Pi (π): Digit 4,340 = 4
e — Euler's number (e): Digit 4,340 = 1
φ — Golden ratio (φ): Digit 4,340 = 5
√2 — Pythagoras's (√2): Digit 4,340 = 9
ln 2 — Natural log of 2: Digit 4,340 = 7
γ — Euler-Mascheroni (γ): Digit 4,340 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4340, here are decompositions:

3 + 4337 = 4340
13 + 4327 = 4340
43 + 4297 = 4340
67 + 4273 = 4340
79 + 4261 = 4340
97 + 4243 = 4340
109 + 4231 = 4340
139 + 4201 = 4340

Showing the first eight; more decompositions exist.

Unicode codepoint

ჴ

Georgian Letter Har

U+10F4

Lowercase letter (Ll)

UTF-8 encoding: E1 83 B4 (3 bytes).

Lookup U+10F4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0010F4

RGB(0, 16, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.244.

Address: 0.0.16.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.16.244

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

Musical pitch

Heard as a frequency, 4,340 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯8 (4434.9 Hz, -37¢)
Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, exact)
Baroque pitch (A4 = 415 Hz): D8 (4431.7 Hz, -36¢)

Position in π

The digit sequence 4340 first appears in π at position 3,160 of the decimal expansion (the 3,160ordinal-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 4340 on Pi Search ↗