328401920
328,401,920 is an even composite number composed of five prime numbers multiplied together.
328401920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 328401920:
210 × 5 × 73 × 11 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 11 × 17)See below for interesting mathematical facts about the number 328401920 from the Numbermatics database.
Names of 328401920
- Cardinal: 328401920 can be written as Three hundred twenty-eight million, four hundred one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.2840192 × 108
Factors of 328401920
Divisors of 328401920
- Number of divisors d(n): 352
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 28 32 34 35 40 44 49 55 56 64 68 70 77 80 85 88 98 110 112 119 128 136 140 154 160 170 176 187 196 220 224 238 245 256 272 280 308 320 340 343 352 374 385 392 440 448 476 490 512 539 544 560 595 616 640 680 686 704 748 770 784 833 880 896 935 952 980 1024 1078 1088 1120 1190 1232 1280 1309 1360 1372 1408 1496 1540 1568 1666 1715 1760 1792 1870 1904 1960 2156 2176 2240 2380 2464 2560 2618 2695 2720 2744 2816 2992 3080 3136 3332 3430 3520 3584 3740 3773 3808 3920 4165 4312 4352 4480 4760 4928 5120 5236 5390 5440 5488 5632 5831 5984 6160 6272 6545 6664 6860 7040 7168 7480 7546 7616 7840 8330 8624 8704 8960 9163 9520 9856 10472 10780 10880 10976 11264 11662 11968 12320 12544 13090 13328 13720 14080 14960 15092 15232 15680 16660 17248 17408 17920 18326 18865 19040 19712 20944 21560 21760 21952 23324 23936 24640 25088 26180 26656 27440 28160 29155 29920 30184 30464 31360 33320 34496 35840 36652 37730 38080 39424 41888 43120 43520 43904 45815 46648 47872 49280 50176 52360 53312 54880 56320 58310 59840 60368 60928 62720 64141 66640 68992 73304 75460 76160 78848 83776 86240 87040 87808 91630 93296 95744 98560 104720 106624 109760 116620 119680 120736 121856 125440 128282 133280 137984 146608 150920 152320 167552 172480 175616 183260 186592 191488 197120 209440 213248 219520 233240 239360 241472 250880 256564 266560 275968 293216 301840 304640 320705 335104 344960 351232 366520 373184 394240 418880 426496 439040 466480 478720 482944 513128 533120 551936 586432 603680 609280 641410 670208 689920 733040 746368 837760 852992 878080 932960 957440 965888 1026256 1066240 1172864 1207360 1282820 1340416 1379840 1466080 1492736 1675520 1756160 1865920 1931776 2052512 2132480 2345728 2414720 2565640 2759680 2932160 2985472 3351040 3731840 3863552 4105024 4264960 4691456 4829440 5131280 5864320 5970944 6702080 7463680 8210048 9382912 9658880 10262560 11728640 14927360 16420096 19317760 20525120 23457280 29854720 32840192 41050240 46914560 65680384 82100480 164200960 328401920
- Sum of all divisors σ(n): 1061164800
- Sum of proper divisors (its aliquot sum) s(n): 732762880
- 328401920 is an abundant number, because the sum of its proper divisors (732762880) is greater than itself. Its abundance is 404360960
Bases of 328401920
- Binary: 100111001001100000100000000002
- Hexadecimal: 0x13930400
- Base-36: 5FISJK
Squares and roots of 328401920
- 328401920 squared (3284019202) is 107847821059686400
- 328401920 cubed (3284019203) is 35417431503817448357888000
-
The
square root of 328401920 is 18121.8630388821 -
The
cube root of 328401920 is 689.9250216085
Scales and comparisons
How big is 328401920?- 328,401,920 seconds is equal to 10 years, 22 weeks, 6 days, 22 hours, 45 minutes, 20 seconds.
-
To count from 1 to 328,401,920 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 328401920 cubic inches would be around 57.5 feet tall.
Recreational maths with 328401920
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