328305120
328,305,120 is an even composite number composed of six prime numbers multiplied together.
328305120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 328305120:
25 × 3 × 5 × 11 × 13 × 4783
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 4783)See below for interesting mathematical facts about the number 328305120 from the Numbermatics database.
Names of 328305120
- Cardinal: 328305120 can be written as Three hundred twenty-eight million, three hundred five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.2830512 × 108
Factors of 328305120
Divisors of 328305120
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 44 48 52 55 60 65 66 78 80 88 96 104 110 120 130 132 143 156 160 165 176 195 208 220 240 260 264 286 312 330 352 390 416 429 440 480 520 528 572 624 660 715 780 858 880 1040 1056 1144 1248 1320 1430 1560 1716 1760 2080 2145 2288 2640 2860 3120 3432 4290 4576 4783 5280 5720 6240 6864 8580 9566 11440 13728 14349 17160 19132 22880 23915 28698 34320 38264 47830 52613 57396 62179 68640 71745 76528 95660 105226 114792 124358 143490 153056 157839 186537 191320 210452 229584 248716 263065 286980 310895 315678 373074 382640 420904 459168 497432 526130 573960 621790 631356 683969 746148 765280 789195 841808 932685 994864 1052260 1147920 1243580 1262712 1367938 1492296 1578390 1683616 1865370 1989728 2051907 2104520 2295840 2487160 2525424 2735876 2984592 3156780 3419845 3730740 4103814 4209040 4974320 5050848 5471752 5969184 6313560 6839690 7461480 8207628 8418080 9948640 10259535 10943504 12627120 13679380 14922960 16415256 20519070 21887008 25254240 27358760 29845920 32830512 41038140 54717520 65661024 82076280 109435040 164152560 328305120
- Sum of all divisors σ(n): 1215212544
- Sum of proper divisors (its aliquot sum) s(n): 886907424
- 328305120 is an abundant number, because the sum of its proper divisors (886907424) is greater than itself. Its abundance is 558602304
Bases of 328305120
- Binary: 100111001000110001001111000002
- Hexadecimal: 0x139189E0
- Base-36: 5FGPUO
Squares and roots of 328305120
- 328305120 squared (3283051202) is 107784251818214400
- 328305120 cubed (3283051203) is 35386121727289096777728000
-
The
square root of 328305120 is 18119.1920349667 -
The
cube root of 328305120 is 689.8572273387
Scales and comparisons
How big is 328305120?- 328,305,120 seconds is equal to 10 years, 22 weeks, 5 days, 19 hours, 52 minutes.
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To count from 1 to 328,305,120 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 328305120 cubic inches would be around 57.5 feet tall.
Recreational maths with 328305120
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