328140540
328,140,540 is an even composite number composed of seven prime numbers multiplied together.
328140540 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 328140540:
22 × 32 × 5 × 7 × 132 × 23 × 67
(2 × 2 × 3 × 3 × 5 × 7 × 13 × 13 × 23 × 67)See below for interesting mathematical facts about the number 328140540 from the Numbermatics database.
Names of 328140540
- Cardinal: 328140540 can be written as Three hundred twenty-eight million, one hundred forty thousand, five hundred forty.
Scientific notation
- Scientific notation: 3.2814054 × 108
Factors of 328140540
Divisors of 328140540
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 23 26 28 30 35 36 39 42 45 46 52 60 63 65 67 69 70 78 84 90 91 92 105 115 117 126 130 134 138 140 156 161 169 180 182 195 201 207 210 230 234 252 260 268 273 276 299 315 322 335 338 345 364 390 402 414 420 455 460 468 469 483 507 546 585 598 603 630 644 670 676 690 780 804 805 819 828 845 871 897 910 938 966 1005 1014 1035 1092 1170 1183 1196 1206 1260 1340 1365 1380 1407 1449 1495 1521 1541 1610 1638 1690 1742 1794 1820 1876 1932 2010 2028 2070 2093 2340 2345 2366 2412 2415 2535 2613 2691 2730 2814 2898 2990 3015 3042 3082 3220 3276 3380 3484 3549 3588 3887 4020 4095 4140 4186 4221 4355 4485 4623 4690 4732 4830 5070 5226 5382 5460 5628 5796 5915 5980 6030 6084 6097 6164 6279 7035 7098 7245 7605 7705 7774 7839 8190 8372 8442 8710 8970 9246 9380 9660 10140 10452 10465 10647 10764 10787 11323 11661 11830 12060 12194 12558 13065 13455 13869 14070 14196 14490 15210 15410 15548 15678 16380 16884 17420 17745 17940 18291 18492 18837 19435 20033 20930 21105 21294 21574 22646 23115 23322 23660 24388 25116 26130 26910 27209 27738 28140 28980 30420 30485 30820 31356 31395 32361 33969 34983 35490 36582 37674 38870 39195 40066 41860 42210 42588 43148 45292 46230 46644 52260 53235 53820 53935 54418 54873 55476 56615 58305 60099 60970 62790 64722 67938 69345 69966 70980 73164 75348 77740 78390 79261 80132 81627 84420 91455 92460 94185 97083 100165 101907 106470 107870 108836 109746 113230 116610 120198 121940 125580 129444 135876 136045 138690 139932 140231 156780 158522 161805 163254 169845 174915 180297 182910 188370 194166 200330 203814 212940 215740 219492 226460 233220 237783 240396 244881 260429 272090 274365 277380 280462 300495 317044 323610 326508 339690 349830 360594 365820 376740 388332 396305 400660 407628 408135 420693 475566 485415 489762 509535 520858 544180 548730 560924 600990 647220 679380 699660 701155 713349 721188 781287 792610 816270 841386 901485 951132 970830 979524 1019070 1041716 1097460 1188915 1201980 1224405 1262079 1302145 1402310 1426698 1562574 1585220 1632540 1682772 1802970 1823003 1941660 2038140 2103465 2343861 2377830 2448810 2524158 2604290 2804620 2853396 3125148 3566745 3605940 3646006 3906435 4206930 4687722 4755660 4897620 5048316 5208580 5469009 6310395 7133490 7292012 7812870 8413860 9115015 9375444 10938018 11719305 12620790 14266980 15625740 16407027 18230030 21876036 23438610 25241580 27345045 32814054 36460060 46877220 54690090 65628108 82035135 109380180 164070270 328140540
- Sum of all divisors σ(n): 1304529408
- Sum of proper divisors (its aliquot sum) s(n): 976388868
- 328140540 is an abundant number, because the sum of its proper divisors (976388868) is greater than itself. Its abundance is 648248328
Bases of 328140540
- Binary: 100111000111100000110111111002
- Hexadecimal: 0x138F06FC
- Base-36: 5FD6V0
Squares and roots of 328140540
- 328140540 squared (3281405402) is 107676213991491600
- 328140540 cubed (3281405403) is 35332931004323609029464000
-
The
square root of 328140540 is 18114.6498724099 -
The
cube root of 328140540 is 689.7419324773
Scales and comparisons
How big is 328140540?- 328,140,540 seconds is equal to 10 years, 22 weeks, 3 days, 22 hours, 9 minutes.
-
To count from 1 to 328,140,540 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 328140540 cubic inches would be around 57.5 feet tall.
Recreational maths with 328140540
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