328224960
328,224,960 is an even composite number composed of five prime numbers multiplied together.
328224960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 328224960:
26 × 37 × 5 × 7 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 67)See below for interesting mathematical facts about the number 328224960 from the Numbermatics database.
Names of 328224960
- Cardinal: 328224960 can be written as Three hundred twenty-eight million, two hundred twenty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 3.2822496 × 108
Factors of 328224960
Divisors of 328224960
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 67 70 72 80 81 84 90 96 105 108 112 120 126 134 135 140 144 160 162 168 180 189 192 201 210 216 224 240 243 252 268 270 280 288 315 320 324 335 336 360 378 402 405 420 432 448 469 480 486 504 536 540 560 567 576 603 630 648 670 672 720 729 756 804 810 840 864 938 945 960 972 1005 1008 1072 1080 1120 1134 1206 1215 1260 1296 1340 1344 1407 1440 1458 1512 1608 1620 1680 1701 1728 1809 1876 1890 1944 2010 2016 2144 2160 2187 2240 2268 2345 2412 2430 2520 2592 2680 2814 2835 2880 2916 3015 3024 3216 3240 3360 3402 3618 3645 3752 3780 3888 4020 4032 4221 4288 4320 4374 4536 4690 4824 4860 5040 5103 5184 5360 5427 5628 5670 5832 6030 6048 6432 6480 6720 6804 7035 7236 7290 7504 7560 7776 8040 8442 8505 8640 8748 9045 9072 9380 9648 9720 10080 10206 10720 10854 10935 11256 11340 11664 12060 12096 12663 12864 12960 13608 14070 14472 14580 15008 15120 15309 15552 16080 16281 16884 17010 17496 18090 18144 18760 19296 19440 20160 20412 21105 21440 21708 21870 22512 22680 23328 24120 25326 25515 25920 27135 27216 28140 28944 29160 30016 30240 30618 32160 32562 33768 34020 34992 36180 36288 37520 37989 38592 38880 40824 42210 43416 43740 45024 45360 46656 48240 48843 50652 51030 54270 54432 56280 57888 58320 60480 61236 63315 64320 65124 67536 68040 69984 72360 75040 75978 76545 77760 81405 81648 84420 86832 87480 90048 90720 96480 97686 101304 102060 108540 108864 112560 113967 115776 116640 122472 126630 130248 135072 136080 139968 144720 146529 150080 151956 153090 162810 163296 168840 173664 174960 181440 189945 192960 195372 202608 204120 217080 225120 227934 233280 244215 244944 253260 260496 270144 272160 289440 293058 303912 306180 325620 326592 337680 341901 347328 349920 379890 390744 405216 408240 434160 450240 455868 488430 489888 506520 520992 544320 569835 578880 586116 607824 612360 651240 675360 683802 699840 732645 759780 781488 810432 816480 868320 911736 976860 979776 1013040 1025703 1041984 1139670 1172232 1215648 1224720 1302480 1350720 1367604 1465290 1519560 1562976 1632960 1709505 1736640 1823472 1953720 2026080 2051406 2279340 2344464 2431296 2449440 2604960 2735208 2930580 3039120 3125952 3419010 3646944 3907440 4052160 4102812 4558680 4688928 4898880 5128515 5209920 5470416 5861160 6078240 6838020 7293888 7814880 8205624 9117360 9377856 10257030 10940832 11722320 12156480 13676040 15629760 16411248 18234720 20514060 21881664 23444640 27352080 32822496 36469440 41028120 46889280 54704160 65644992 82056240 109408320 164112480 328224960
- Sum of all divisors σ(n): 1359651840
- Sum of proper divisors (its aliquot sum) s(n): 1031426880
- 328224960 is an abundant number, because the sum of its proper divisors (1031426880) is greater than itself. Its abundance is 703201920
Bases of 328224960
- Binary: 100111001000001010000110000002
- Hexadecimal: 0x139050C0
- Base-36: 5FF000
Squares and roots of 328224960
- 328224960 squared (3282249602) is 107731624367001600
- 328224960 cubed (3282249603) is 35360208098594125479936000
-
The
square root of 328224960 is 18116.9798807637 -
The
cube root of 328224960 is 689.8010768725
Scales and comparisons
How big is 328224960?- 328,224,960 seconds is equal to 10 years, 22 weeks, 4 days, 21 hours, 36 minutes.
-
To count from 1 to 328,224,960 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 328224960 cubic inches would be around 57.5 feet tall.
Recreational maths with 328224960
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