328129920
328,129,920 is an even composite number composed of five prime numbers multiplied together.
328129920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 328129920:
27 × 33 × 5 × 17 × 1117
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 1117)See below for interesting mathematical facts about the number 328129920 from the Numbermatics database.
Names of 328129920
- Cardinal: 328129920 can be written as Three hundred twenty-eight million, one hundred twenty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.2812992 × 108
Factors of 328129920
Divisors of 328129920
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 85 90 96 102 108 120 128 135 136 144 153 160 170 180 192 204 216 240 255 270 272 288 306 320 340 360 384 408 432 459 480 510 540 544 576 612 640 680 720 765 816 864 918 960 1020 1080 1088 1117 1152 1224 1360 1440 1530 1632 1728 1836 1920 2040 2160 2176 2234 2295 2448 2720 2880 3060 3264 3351 3456 3672 4080 4320 4468 4590 4896 5440 5585 5760 6120 6528 6702 7344 8160 8640 8936 9180 9792 10053 10880 11170 12240 13404 14688 16320 16755 17280 17872 18360 18989 19584 20106 22340 24480 26808 29376 30159 32640 33510 35744 36720 37978 40212 44680 48960 50265 53616 56967 58752 60318 67020 71488 73440 75956 80424 89360 94945 97920 100530 107232 113934 120636 134040 142976 146880 150795 151912 160848 170901 178720 189890 201060 214464 227868 241272 268080 284835 293760 301590 303824 321696 341802 357440 379780 402120 428928 455736 482544 512703 536160 569670 603180 607648 643392 683604 714880 759560 804240 854505 911472 965088 1025406 1072320 1139340 1206360 1215296 1286784 1367208 1519120 1608480 1709010 1822944 1930176 2050812 2144640 2278680 2412720 2430592 2563515 2734416 3038240 3216960 3418020 3645888 3860352 4101624 4557360 4825440 5127030 5468832 6076480 6433920 6836040 7291776 8203248 9114720 9650880 10254060 10937664 12152960 13672080 16406496 18229440 19301760 20508120 21875328 27344160 32812992 36458880 41016240 54688320 65625984 82032480 109376640 164064960 328129920
- Sum of all divisors σ(n): 1231588800
- Sum of proper divisors (its aliquot sum) s(n): 903458880
- 328129920 is an abundant number, because the sum of its proper divisors (903458880) is greater than itself. Its abundance is 575328960
Bases of 328129920
- Binary: 100111000111011011101100000002
- Hexadecimal: 0x138EDD80
- Base-36: 5FCYO0
Squares and roots of 328129920
- 328129920 squared (3281299202) is 107669244399206400
- 328129920 cubed (3281299203) is 35329500551172044095488000
-
The
square root of 328129920 is 18114.3567371299 -
The
cube root of 328129920 is 689.7344914195
Scales and comparisons
How big is 328129920?- 328,129,920 seconds is equal to 10 years, 22 weeks, 3 days, 19 hours, 12 minutes.
-
To count from 1 to 328,129,920 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 328129920 cubic inches would be around 57.5 feet tall.
Recreational maths with 328129920
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