Live analysis

3,240

3,240 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.).

3,240 (three thousand two hundred forty) is an even 4-digit number. It is a composite number with 40 divisors, and factors as 2³ × 3⁴ × 5. Its proper divisors sum to 7,650, more than the number itself, making it an abundant number. It is the 80th triangular number. Written other ways, in Roman numerals it is MMMCCXL and in binary, 110010101000.

Abundant Number Gapful Number Harshad / Niven Highly Abundant Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Triangular

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

3,228 3,229 3,230 3,231 3,232 3,233 3,234 3,235 3,236 3,237 3,238 3,239 3,240 3,241 3,242 3,243 3,244 3,245 3,246 3,247 3,248 3,249 3,250 3,251 3,252

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 423
Recamán's sequence: a(6,868) = 3,240
Square (n²): 10,497,600
Cube (n³): 34,012,224,000
Divisor count: 40
σ(n) — sum of divisors: 10,890
φ(n) — Euler's totient: 864
Sum of prime factors: 23

Primality

Prime factorization: 2 ³ × 3 ⁴ × 5

Nearest primes: 3,229 (−11) · 3,251 (+11)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 27 · 30 · 36 · 40 · 45 · 54 · 60 · 72 · 81 · 90 · 108 · 120 · 135 · 162 · 180 · 216 · 270 · 324 · 360 · 405 · 540 · 648 · 810 · 1080 · 1620 (half) · 3240

Aliquot sum (sum of proper divisors): 7,650

Factor pairs (a × b = 3,240)

1 × 3240

2 × 1620

3 × 1080

4 × 810

5 × 648

6 × 540

8 × 405

9 × 360

10 × 324

12 × 270

15 × 216

18 × 180

20 × 162

24 × 135

27 × 120

30 × 108

36 × 90

40 × 81

45 × 72

54 × 60

First multiples

3,240 · 6,480 (double) · 9,720 · 12,960 · 16,200 · 19,440 · 22,680 · 25,920 · 29,160 · 32,400

Sums & aliquot sequence

As a sum of two squares: 18² + 54²

As consecutive integers: 1,079 + 1,080 + 1,081 646 + 647 + 648 + 649 + 650 356 + 357 + … + 364 209 + 210 + … + 223

Aliquot sequence: 3,240 → 7,650 → 14,112 → 32,571 → 27,333 → 12,161 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,240 = [56; (1, 11, 1, 1, 1, 11, 1, 112)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: three thousand two hundred forty
Ordinal: 3240th
Roman numeral: MMMCCXL
Binary: 110010101000
Octal: 6250
Hexadecimal: 0xCA8
Base64: DKg=
One's complement: 62,295 (16-bit)
Scientific notation: 3.24 × 10³
As a duration: 3,240 s = 54 minutes

In other bases

ternary (3) 11110000

quaternary (4) 302220

quinary (5) 100430

senary (6) 23000

septenary (7) 12306

nonary (9) 4400

undecimal (11) 2486

duodecimal (12) 1a60

tridecimal (13) 1623

tetradecimal (14) 1276

pentadecimal (15) e60

As an angle

3,240° = 9 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵γσμʹ
Mayan (base 20): 𝋨·𝋢·𝋠
Chinese: 三千二百四十
Chinese (financial): 參仟貳佰肆拾

In other modern scripts

Eastern Arabic ٣٢٤٠ Devanagari ३२४० Bengali ৩২৪০ Tamil ௩௨௪௦ Thai ๓๒๔๐ Tibetan ༣༢༤༠ Khmer ៣២៤០ Lao ໓໒໔໐ Burmese ၃၂၄၀

Digit at this position in famous constants

π — Pi (π): Digit 3,240 = 5
e — Euler's number (e): Digit 3,240 = 9
φ — Golden ratio (φ): Digit 3,240 = 1
√2 — Pythagoras's (√2): Digit 3,240 = 9
ln 2 — Natural log of 2: Digit 3,240 = 0
γ — Euler-Mascheroni (γ): Digit 3,240 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3240, here are decompositions:

11 + 3229 = 3240
19 + 3221 = 3240
23 + 3217 = 3240
31 + 3209 = 3240
37 + 3203 = 3240
53 + 3187 = 3240
59 + 3181 = 3240
71 + 3169 = 3240

Showing the first eight; more decompositions exist.

Unicode codepoint

ನ

Kannada Letter Na

U+0CA8

Other letter (Lo)

UTF-8 encoding: E0 B2 A8 (3 bytes).

Lookup U+0CA8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000CA8

RGB(0, 12, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.168.

Address: 0.0.12.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.168

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

Musical pitch

Heard as a frequency, 3,240 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, -43¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, -6¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, -42¢)

Position in π

The digit sequence 3240 first appears in π at position 13,330 of the decimal expansion (the 13,330ordinal-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 3240 on Pi Search ↗