33264
33,264 is an even composite number composed of four prime numbers multiplied together.
33264 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 33264:
24 × 33 × 7 × 11
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11)See below for interesting mathematical facts about the number 33264 from the Numbermatics database.
Names of 33264
- Cardinal: 33264 can be written as Thirty-three thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 3.3264 × 104
Factors of 33264
Divisors of 33264
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 11088 16632 33264
- Sum of all divisors σ(n): 119040
- Sum of proper divisors (its aliquot sum) s(n): 85776
- 33264 is an abundant number, because the sum of its proper divisors (85776) is greater than itself. Its abundance is 52512
Bases of 33264
- Binary: 10000001111100002
- Hexadecimal: 0x81F0
- Base-36: PO0
Squares and roots of 33264
- 33264 squared (332642) is 1106493696
- 33264 cubed (332643) is 36806406303744
-
The
square root of 33264 is 182.3842098429 -
The
cube root of 33264 is 32.1606504657
Scales and comparisons
How big is 33264?- 33,264 seconds is equal to 9 hours, 14 minutes, 24 seconds.
-
To count from 1 to 33,264 would take you about nine hours.
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 33264 cubic inches would be around 2.7 feet tall.
Recreational maths with 33264
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