328435968
328,435,968 is an even composite number composed of five prime numbers multiplied together.
328435968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 328435968:
28 × 3 × 7 × 199 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 199 × 307)See below for interesting mathematical facts about the number 328435968 from the Numbermatics database.
Names of 328435968
- Cardinal: 328435968 can be written as Three hundred twenty-eight million, four hundred thirty-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.28435968 × 108
Factors of 328435968
Divisors of 328435968
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 199 224 256 307 336 384 398 448 597 614 672 768 796 896 921 1194 1228 1344 1393 1592 1792 1842 2149 2388 2456 2688 2786 3184 3684 4179 4298 4776 4912 5376 5572 6368 6447 7368 8358 8596 9552 9824 11144 12736 12894 14736 16716 17192 19104 19648 22288 25472 25788 29472 33432 34384 38208 39296 44576 50944 51576 58944 61093 66864 68768 76416 78592 89152 103152 117888 122186 133728 137536 152832 178304 183279 206304 235776 244372 267456 275072 356608 366558 412608 427651 488744 534912 550144 733116 825216 855302 977488 1069824 1282953 1466232 1650432 1710604 1954976 2565906 2932464 3421208 3909952 5131812 5864928 6842416 7819904 10263624 11729856 13684832 15639808 20527248 23459712 27369664 41054496 46919424 54739328 82108992 109478656 164217984 328435968
- Sum of all divisors σ(n): 1007283200
- Sum of proper divisors (its aliquot sum) s(n): 678847232
- 328435968 is an abundant number, because the sum of its proper divisors (678847232) is greater than itself. Its abundance is 350411264
Bases of 328435968
- Binary: 100111001001110001001000000002
- Hexadecimal: 0x13938900
- Base-36: 5FJITC
Squares and roots of 328435968
- 328435968 squared (3284359682) is 107870185076097024
- 328435968 cubed (3284359683) is 35428448653807079739359232
-
The
square root of 328435968 is 18122.8024322951 -
The
cube root of 328435968 is 689.9488640953
Scales and comparisons
How big is 328435968?- 328,435,968 seconds is equal to 10 years, 23 weeks, 8 hours, 12 minutes, 48 seconds.
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To count from 1 to 328,435,968 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 328435968 cubic inches would be around 57.5 feet tall.
Recreational maths with 328435968
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