328409640
328,409,640 is an even composite number composed of six prime numbers multiplied together.
What does the number 328409640 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
328409640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 328409640:
23 × 35 × 5 × 13 × 23 × 113
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 23 × 113)See below for interesting mathematical facts about the number 328409640 from the Numbermatics database.
Names of 328409640
- Cardinal: 328409640 can be written as Three hundred twenty-eight million, four hundred nine thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.2840964 × 108
Factors of 328409640
Divisors of 328409640
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 23 24 26 27 30 36 39 40 45 46 52 54 60 65 69 72 78 81 90 92 104 108 113 115 117 120 130 135 138 156 162 180 184 195 207 216 226 230 234 243 260 270 276 299 312 324 339 345 351 360 390 405 414 452 460 468 486 520 540 552 565 585 598 621 648 678 690 702 780 810 828 897 904 920 936 972 1017 1035 1053 1080 1130 1170 1196 1215 1242 1356 1380 1404 1469 1495 1560 1620 1656 1695 1755 1794 1863 1944 2034 2070 2106 2260 2340 2392 2430 2484 2599 2691 2712 2760 2808 2938 2990 3051 3105 3159 3240 3390 3510 3588 3726 4068 4140 4212 4407 4485 4520 4680 4860 4968 5085 5198 5265 5382 5589 5876 5980 6102 6210 6318 6780 7020 7176 7345 7452 7797 8073 8136 8280 8424 8814 8970 9153 9315 9720 10170 10396 10530 10764 11178 11752 11960 12204 12420 12636 12995 13221 13455 13560 14040 14690 14904 15255 15594 15795 16146 17628 17940 18306 18630 20340 20792 21060 21528 22035 22356 23391 24219 24408 24840 25272 25990 26442 26910 27459 27945 29380 30510 31188 31590 32292 33787 35256 35880 36612 37260 38985 39663 40365 40680 42120 44070 44712 45765 46782 48438 51980 52884 53820 54918 55890 58760 61020 62376 63180 64584 66105 67574 70173 72657 73224 74520 77970 79326 80730 88140 91530 93564 96876 101361 103960 105768 107640 109836 111780 116955 118989 121095 122040 126360 132210 135148 137295 140346 145314 155940 158652 161460 168935 176280 183060 187128 193752 198315 202722 210519 219672 223560 233910 237978 242190 264420 270296 274590 280692 290628 304083 311880 317304 322920 337870 350865 356967 363285 366120 396630 405444 421038 467820 475956 484380 506805 528840 549180 561384 581256 594945 608166 631557 675740 701730 713934 726570 793260 810888 842076 912249 935640 951912 968760 1013610 1052595 1098360 1189890 1216332 1263114 1351480 1403460 1427868 1453140 1520415 1586520 1684152 1784835 1824498 2027220 2105190 2379780 2432664 2526228 2736747 2806920 2855736 2906280 3040830 3157785 3569670 3648996 4054440 4210380 4561245 4759560 5052456 5473494 6081660 6315570 7139340 7297992 8210241 8420760 9122490 10946988 12163320 12631140 13683735 14278680 16420482 18244980 21893976 25262280 27367470 32840964 36489960 41051205 54734940 65681928 82102410 109469880 164204820 328409640
- Sum of all divisors σ(n): 1254839040
- Sum of proper divisors (its aliquot sum) s(n): 926429400
- 328409640 is an abundant number, because the sum of its proper divisors (926429400) is greater than itself. Its abundance is 598019760
Bases of 328409640
- Binary: 100111001001100100010001010002
- Hexadecimal: 0x13932228
- Base-36: 5FIYI0
Squares and roots of 328409640
- 328409640 squared (3284096402) is 107852891644929600
- 328409640 cubed (3284096403) is 35419929318070337761344000
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The
square root of 328409640 is 18122.0760400127 -
The
cube root of 328409640 is 689.9304277681
Scales and comparisons
How big is 328409640?- 328,409,640 seconds is equal to 10 years, 23 weeks, 54 minutes.
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To count from 1 to 328,409,640 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 328409640 cubic inches would be around 57.5 feet tall.
Recreational maths with 328409640
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