34375968
34,375,968 is an even composite number composed of four prime numbers multiplied together.
34375968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 34375968:
25 × 33 × 11 × 3617
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 3617)See below for interesting mathematical facts about the number 34375968 from the Numbermatics database.
Names of 34375968
- Cardinal: 34375968 can be written as Thirty-four million, three hundred seventy-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.4375968 × 107
Factors of 34375968
Divisors of 34375968
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 3617 4752 7234 9504 10851 14468 21702 28936 32553 39787 43404 57872 65106 79574 86808 97659 115744 119361 130212 159148 173616 195318 238722 260424 318296 347232 358083 390636 477444 520848 636592 716166 781272 954888 1041696 1074249 1273184 1432332 1562544 1909776 2148498 2864664 3125088 3819552 4296996 5729328 8593992 11458656 17187984 34375968
- Sum of all divisors σ(n): 109408320
- Sum of proper divisors (its aliquot sum) s(n): 75032352
- 34375968 is an abundant number, because the sum of its proper divisors (75032352) is greater than itself. Its abundance is 40656384
Bases of 34375968
- Binary: 100000110010001001001000002
- Hexadecimal: 0x20C8920
- Base-36: KGSO0
Squares and roots of 34375968
- 34375968 squared (343759682) is 1181707175937024
- 34375968 cubed (343759683) is 40622328065381507039232
-
The
square root of 34375968 is 5863.1022505155 -
The
cube root of 34375968 is 325.1509137387
Scales and comparisons
How big is 34375968?- 34,375,968 seconds is equal to 1 year, 4 weeks, 5 days, 20 hours, 52 minutes, 48 seconds.
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To count from 1 to 34,375,968 would take you about thirty-three weeks!
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 34375968 cubic inches would be around 27.1 feet tall.
Recreational maths with 34375968
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