Live analysis

3,440

3,440 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.).

3,440 (three thousand four hundred forty) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 43. Its proper divisors sum to 4,744, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCDXL and in binary, 110101110000.

Abundant Number Evil Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

3,428 3,429 3,430 3,431 3,432 3,433 3,434 3,435 3,436 3,437 3,438 3,439 3,440 3,441 3,442 3,443 3,444 3,445 3,446 3,447 3,448 3,449 3,450 3,451 3,452

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 12 bits
Reversed: 443
Recamán's sequence: a(15,011) = 3,440
Square (n²): 11,833,600
Cube (n³): 40,707,584,000
Divisor count: 20
σ(n) — sum of divisors: 8,184
φ(n) — Euler's totient: 1,344
Sum of prime factors: 56

Primality

Prime factorization: 2 ⁴ × 5 × 43

Nearest primes: 3,433 (−7) · 3,449 (+9)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 43 · 80 · 86 · 172 · 215 · 344 · 430 · 688 · 860 · 1720 (half) · 3440

Aliquot sum (sum of proper divisors): 4,744

Factor pairs (a × b = 3,440)

1 × 3440

2 × 1720

4 × 860

5 × 688

8 × 430

10 × 344

16 × 215

20 × 172

40 × 86

43 × 80

First multiples

3,440 · 6,880 (double) · 10,320 · 13,760 · 17,200 · 20,640 · 24,080 · 27,520 · 30,960 · 34,400

Sums & aliquot sequence

As consecutive integers: 686 + 687 + 688 + 689 + 690 92 + 93 + … + 123 59 + 60 + … + 101

Aliquot sequence: 3,440 → 4,744 → 4,166 → 2,086 → 1,514 → 760 → 1,040 → 1,564 → 1,460 → 1,648 → 1,576 → 1,394 → 874 → 566 → 286 → 218 → 112 — unresolved within range

Continued fraction of √n

√3,440 = [58; (1, 1, 1, 6, 1, 1, 1, 116)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: three thousand four hundred forty
Ordinal: 3440th
Roman numeral: MMMCDXL
Binary: 110101110000
Octal: 6560
Hexadecimal: 0xD70
Base64: DXA=
One's complement: 62,095 (16-bit)
Scientific notation: 3.44 × 10³
As a duration: 3,440 s = 57 minutes, 20 seconds

In other bases

ternary (3) 11201102

quaternary (4) 311300

quinary (5) 102230

senary (6) 23532

septenary (7) 13013

nonary (9) 4642

undecimal (11) 2648

duodecimal (12) 1ba8

tridecimal (13) 1748

tetradecimal (14) 137a

pentadecimal (15) 1045

Palindromic in base 6

As an angle

3,440° = 9 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵γυμʹ
Mayan (base 20): 𝋨·𝋬·𝋠
Chinese: 三千四百四十
Chinese (financial): 參仟肆佰肆拾

In other modern scripts

Eastern Arabic ٣٤٤٠ Devanagari ३४४० Bengali ৩৪৪০ Tamil ௩௪௪௦ Thai ๓๔๔๐ Tibetan ༣༤༤༠ Khmer ៣៤៤០ Lao ໓໔໔໐ Burmese ၃၄၄၀

Digit at this position in famous constants

π — Pi (π): Digit 3,440 = 1
e — Euler's number (e): Digit 3,440 = 8
φ — Golden ratio (φ): Digit 3,440 = 1
√2 — Pythagoras's (√2): Digit 3,440 = 8
ln 2 — Natural log of 2: Digit 3,440 = 5
γ — Euler-Mascheroni (γ): Digit 3,440 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3440, here are decompositions:

7 + 3433 = 3440
67 + 3373 = 3440
79 + 3361 = 3440
97 + 3343 = 3440
109 + 3331 = 3440
127 + 3313 = 3440
139 + 3301 = 3440
181 + 3259 = 3440

Showing the first eight; more decompositions exist.

Unicode codepoint

൰

Malayalam Number Ten

U+0D70

Other number (No)

UTF-8 encoding: E0 B5 B0 (3 bytes).

Lookup U+0D70 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D70

RGB(0, 13, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.112.

Address: 0.0.13.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.112

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

Musical pitch

Heard as a frequency, 3,440 Hz is closest to:

Concert pitch (A4 = 440 Hz): A7 (3520 Hz, -40¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -2¢)
Baroque pitch (A4 = 415 Hz): A♯7 (3517.4 Hz, -39¢)

Position in π

The digit sequence 3440 first appears in π at position 2,798 of the decimal expansion (the 2,798ordinal-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 3440 on Pi Search ↗