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30,240

30,240 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.).
Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
15 bits
Reversed
4,203
Recamán's sequence
a(11,711) = 30,240
Square (n²)
914,457,600
Cube (n³)
27,653,197,824,000
Divisor count
96
σ(n) — sum of divisors
120,960
φ(n) — Euler's totient
6,912
Sum of prime factors
31

Primality

Prime factorization: 2 5 × 3 3 × 5 × 7

Nearest primes: 30,223 (−17) · 30,241 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 16 · 18 · 20 · 21 · 24 · 27 · 28 · 30 · 32 · 35 · 36 · 40 · 42 · 45 · 48 · 54 · 56 · 60 · 63 · 70 · 72 · 80 · 84 · 90 · 96 · 105 · 108 · 112 · 120 · 126 · 135 · 140 · 144 · 160 · 168 · 180 · 189 · 210 · 216 · 224 · 240 · 252 · 270 · 280 · 288 · 315 · 336 · 360 · 378 · 420 · 432 · 480 · 504 · 540 · 560 · 630 · 672 · 720 · 756 · 840 · 864 · 945 · 1008 · 1080 · 1120 · 1260 · 1440 · 1512 · 1680 · 1890 · 2016 · 2160 · 2520 · 3024 · 3360 · 3780 · 4320 · 5040 · 6048 · 7560 · 10080 · 15120 (half) · 30240
Aliquot sum (sum of proper divisors): 90,720
Factor pairs (a × b = 30,240)
1 × 30240
2 × 15120
3 × 10080
4 × 7560
5 × 6048
6 × 5040
7 × 4320
8 × 3780
9 × 3360
10 × 3024
12 × 2520
14 × 2160
15 × 2016
16 × 1890
18 × 1680
20 × 1512
21 × 1440
24 × 1260
27 × 1120
28 × 1080
30 × 1008
32 × 945
35 × 864
36 × 840
40 × 756
42 × 720
45 × 672
48 × 630
54 × 560
56 × 540
60 × 504
63 × 480
70 × 432
72 × 420
80 × 378
84 × 360
90 × 336
96 × 315
105 × 288
108 × 280
112 × 270
120 × 252
126 × 240
135 × 224
140 × 216
144 × 210
160 × 189
168 × 180
First multiples
30,240 · 60,480 (double) · 90,720 · 120,960 · 151,200 · 181,440 · 211,680 · 241,920 · 272,160 · 302,400

Sums & aliquot sequence

As consecutive integers: 10,079 + 10,080 + 10,081 6,046 + 6,047 + 6,048 + 6,049 + 6,050 4,317 + 4,318 + … + 4,323 3,356 + 3,357 + … + 3,364
Aliquot sequence: 30,240 90,720 275,184 714,336 1,430,688 2,863,392 5,728,800 18,269,664 38,371,872 92,264,928 202,941,984 405,885,984 862,161,888 1,731,172,128 3,481,268,448 6,962,538,912 14,273,198,688 — keeps growing

Representations

In words
thirty thousand two hundred forty
Ordinal
30240th
Binary
111011000100000
Octal
73040
Hexadecimal
0x7620
Base64
diA=
One's complement
35,295 (16-bit)
In other bases
ternary (3) 1112111000
quaternary (4) 13120200
quinary (5) 1431430
senary (6) 352000
septenary (7) 154110
nonary (9) 45430
undecimal (11) 207a1
duodecimal (12) 15600
tridecimal (13) 109c2
tetradecimal (14) b040
pentadecimal (15) 8e60

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵λσμʹ
Mayan (base 20)
𝋣·𝋯·𝋬·𝋠
Chinese
三萬零二百四十
Chinese (financial)
參萬零貳佰肆拾
In other modern scripts
Eastern Arabic ٣٠٢٤٠ Devanagari ३०२४० Bengali ৩০২৪০ Tamil ௩௦௨௪௦ Thai ๓๐๒๔๐ Tibetan ༣༠༢༤༠ Khmer ៣០២៤០ Lao ໓໐໒໔໐ Burmese ၃၀၂၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 30,240 = 1
e — Euler's number (e)
Digit 30,240 = 4
φ — Golden ratio (φ)
Digit 30,240 = 2
√2 — Pythagoras's (√2)
Digit 30,240 = 7
ln 2 — Natural log of 2
Digit 30,240 = 9
γ — Euler-Mascheroni (γ)
Digit 30,240 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 30240, here are decompositions:

  • 17 + 30223 = 30240
  • 29 + 30211 = 30240
  • 37 + 30203 = 30240
  • 43 + 30197 = 30240
  • 53 + 30187 = 30240
  • 59 + 30181 = 30240
  • 71 + 30169 = 30240
  • 79 + 30161 = 30240

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-7620
U+7620
Other letter (Lo)

UTF-8 encoding: E7 98 A0 (3 bytes).

Hex color
#007620
RGB(0, 118, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.118.32.

Address
0.0.118.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.118.32

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

Position in π

The digit sequence 30240 first appears in π at position 7,706 of the decimal expansion (the 7,706ordinal-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.