214368
214,368 is an even composite number composed of five prime numbers multiplied together.
214368 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 214368:
25 × 3 × 7 × 11 × 29
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 29)See below for interesting mathematical facts about the number 214368 from the Numbermatics database.
Names of 214368
- Cardinal: 214368 can be written as Two hundred fourteen thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 2.14368 × 105
Factors of 214368
Divisors of 214368
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 32 33 42 44 48 56 58 66 77 84 87 88 96 112 116 132 154 168 174 176 203 224 231 232 264 308 319 336 348 352 406 462 464 528 609 616 638 672 696 812 924 928 957 1056 1218 1232 1276 1392 1624 1848 1914 2233 2436 2464 2552 2784 3248 3696 3828 4466 4872 5104 6496 6699 7392 7656 8932 9744 10208 13398 15312 17864 19488 26796 30624 35728 53592 71456 107184 214368
- Sum of all divisors σ(n): 725760
- Sum of proper divisors (its aliquot sum) s(n): 511392
- 214368 is an abundant number, because the sum of its proper divisors (511392) is greater than itself. Its abundance is 297024
Bases of 214368
- Binary: 1101000101011000002
- Hexadecimal: 0x34560
- Base-36: 4LEO
Squares and roots of 214368
- 214368 squared (2143682) is 45953639424
- 214368 cubed (2143683) is 9850989776044032
-
The
square root of 214368 is 462.9989200853 -
The
cube root of 214368 is 59.8485067071
Scales and comparisons
How big is 214368?- 214,368 seconds is equal to 2 days, 11 hours, 32 minutes, 48 seconds.
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To count from 1 to 214,368 would take you about two days.
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 214368 cubic inches would be around 5 feet tall.
Recreational maths with 214368
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The information we have on file for 214368 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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