34096968
34,096,968 is an even composite number composed of five prime numbers multiplied together.
34096968 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 34096968:
23 × 32 × 17 × 89 × 313
(2 × 2 × 2 × 3 × 3 × 17 × 89 × 313)See below for interesting mathematical facts about the number 34096968 from the Numbermatics database.
Names of 34096968
- Cardinal: 34096968 can be written as Thirty-four million, ninety-six thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.4096968 × 107
Factors of 34096968
Divisors of 34096968
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 89 102 136 153 178 204 267 306 313 356 408 534 612 626 712 801 939 1068 1224 1252 1513 1602 1878 2136 2504 2817 3026 3204 3756 4539 5321 5634 6052 6408 7512 9078 10642 11268 12104 13617 15963 18156 21284 22536 27234 27857 31926 36312 42568 47889 54468 55714 63852 83571 95778 108936 111428 127704 167142 191556 222856 250713 334284 383112 473569 501426 668568 947138 1002852 1420707 1894276 2005704 2841414 3788552 4262121 5682828 8524242 11365656 17048484 34096968
- Sum of all divisors σ(n): 99192600
- Sum of proper divisors (its aliquot sum) s(n): 65095632
- 34096968 is an abundant number, because the sum of its proper divisors (65095632) is greater than itself. Its abundance is 30998664
Bases of 34096968
- Binary: 100000100001000111010010002
- Hexadecimal: 0x2084748
- Base-36: KATE0
Squares and roots of 34096968
- 34096968 squared (340969682) is 1162603226793024
- 34096968 cubed (340969683) is 39641245020658481951232
-
The
square root of 34096968 is 5839.2609121361 -
The
cube root of 34096968 is 324.2688669007
Scales and comparisons
How big is 34096968?- 34,096,968 seconds is equal to 1 year, 4 weeks, 2 days, 15 hours, 22 minutes, 48 seconds.
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To count from 1 to 34,096,968 would take you about thirty-two 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 34096968 cubic inches would be around 27 feet tall.
Recreational maths with 34096968
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