328195200
328,195,200 is an even composite number composed of five prime numbers multiplied together.
328195200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 328195200:
27 × 3 × 52 × 17 × 2011
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 2011)See below for interesting mathematical facts about the number 328195200 from the Numbermatics database.
Names of 328195200
- Cardinal: 328195200 can be written as Three hundred twenty-eight million, one hundred ninety-five thousand, two hundred.
Scientific notation
- Scientific notation: 3.281952 × 108
Factors of 328195200
Divisors of 328195200
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 85 96 100 102 120 128 136 150 160 170 192 200 204 240 255 272 300 320 340 384 400 408 425 480 510 544 600 640 680 800 816 850 960 1020 1088 1200 1275 1360 1600 1632 1700 1920 2011 2040 2176 2400 2550 2720 3200 3264 3400 4022 4080 4800 5100 5440 6033 6528 6800 8044 8160 9600 10055 10200 10880 12066 13600 16088 16320 20110 20400 24132 27200 30165 32176 32640 34187 40220 40800 48264 50275 54400 60330 64352 68374 80440 81600 96528 100550 102561 120660 128704 136748 150825 160880 163200 170935 193056 201100 205122 241320 257408 273496 301650 321760 341870 386112 402200 410244 482640 512805 546992 603300 643520 683740 772224 804400 820488 854675 965280 1025610 1093984 1206600 1287040 1367480 1608800 1640976 1709350 1930560 2051220 2187968 2413200 2564025 2734960 3217600 3281952 3418700 3861120 4102440 4375936 4826400 5128050 5469920 6435200 6563904 6837400 8204880 9652800 10256100 10939840 13127808 13674800 16409760 19305600 20512200 21879680 27349600 32819520 41024400 54699200 65639040 82048800 109398400 164097600 328195200
- Sum of all divisors σ(n): 1145149920
- Sum of proper divisors (its aliquot sum) s(n): 816954720
- 328195200 is an abundant number, because the sum of its proper divisors (816954720) is greater than itself. Its abundance is 488759520
Bases of 328195200
- Binary: 100111000111111011100100000002
- Hexadecimal: 0x138FDC80
- Base-36: 5FED1C
Squares and roots of 328195200
- 328195200 squared (3281952002) is 107712089303040000
- 328195200 cubed (3281952003) is 35350590691229073408000000
-
The
square root of 328195200 is 18116.1585331991 -
The
cube root of 328195200 is 689.7802282645
Scales and comparisons
How big is 328195200?- 328,195,200 seconds is equal to 10 years, 22 weeks, 4 days, 13 hours, 20 minutes.
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To count from 1 to 328,195,200 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 328195200 cubic inches would be around 57.5 feet tall.
Recreational maths with 328195200
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