330430968
330,430,968 is an even composite number composed of five prime numbers multiplied together.
330430968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 330430968:
23 × 33 × 7 × 83 × 2633
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 83 × 2633)See below for interesting mathematical facts about the number 330430968 from the Numbermatics database.
Names of 330430968
- Cardinal: 330430968 can be written as Three hundred thirty million, four hundred thirty thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.30430968 × 108
Factors of 330430968
Divisors of 330430968
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 83 84 108 126 166 168 189 216 249 252 332 378 498 504 581 664 747 756 996 1162 1494 1512 1743 1992 2241 2324 2633 2988 3486 4482 4648 5229 5266 5976 6972 7899 8964 10458 10532 13944 15687 15798 17928 18431 20916 21064 23697 31374 31596 36862 41832 47394 55293 62748 63192 71091 73724 94788 110586 125496 142182 147448 165879 189576 218539 221172 284364 331758 437078 442344 497637 568728 655617 663516 874156 995274 1311234 1327032 1529773 1748312 1966851 1990548 2622468 3059546 3933702 3981096 4589319 5244936 5900553 6119092 7867404 9178638 11801106 12238184 13767957 15734808 18357276 23602212 27535914 36714552 41303871 47204424 55071828 82607742 110143656 165215484 330430968
- Sum of all divisors σ(n): 1062028800
- Sum of proper divisors (its aliquot sum) s(n): 731597832
- 330430968 is an abundant number, because the sum of its proper divisors (731597832) is greater than itself. Its abundance is 401166864
Bases of 330430968
- Binary: 100111011000111111001111110002
- Hexadecimal: 0x13B1F9F8
- Base-36: 5GQA60
Squares and roots of 330430968
- 330430968 squared (3304309682) is 109184624613417024
- 330430968 cubed (3304309683) is 36077981201728013027999232
-
The
square root of 330430968 is 18177.7602580737 -
The
cube root of 330430968 is 691.3430175221
Scales and comparisons
How big is 330430968?- 330,430,968 seconds is equal to 10 years, 26 weeks, 2 days, 10 hours, 22 minutes, 48 seconds.
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To count from 1 to 330,430,968 would take you about fifteen years!
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 330430968 cubic inches would be around 57.6 feet tall.
Recreational maths with 330430968
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