328348020
328,348,020 is an even composite number composed of seven prime numbers multiplied together.
328348020 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 328348020:
22 × 3 × 5 × 72 × 112 × 13 × 71
(2 × 2 × 3 × 5 × 7 × 7 × 11 × 11 × 13 × 71)See below for interesting mathematical facts about the number 328348020 from the Numbermatics database.
Names of 328348020
- Cardinal: 328348020 can be written as Three hundred twenty-eight million, three hundred forty-eight thousand and twenty.
Scientific notation
- Scientific notation: 3.2834802 × 108
Factors of 328348020
Divisors of 328348020
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 10 11 12 13 14 15 20 21 22 26 28 30 33 35 39 42 44 49 52 55 60 65 66 70 71 77 78 84 91 98 105 110 121 130 132 140 142 143 147 154 156 165 182 195 196 210 213 220 231 242 245 260 273 284 286 294 308 330 355 363 364 385 390 420 426 429 455 462 484 490 497 539 546 572 588 605 637 660 710 715 726 735 770 780 781 847 852 858 910 923 924 980 994 1001 1065 1078 1092 1155 1210 1274 1365 1420 1430 1452 1470 1491 1540 1562 1573 1617 1694 1716 1815 1820 1846 1911 1988 2002 2130 2145 2156 2310 2343 2420 2485 2541 2548 2695 2730 2769 2860 2940 2982 3003 3124 3146 3185 3234 3388 3479 3630 3692 3822 3905 4004 4235 4260 4290 4615 4620 4686 4719 4970 5005 5082 5390 5460 5467 5538 5929 5964 6006 6292 6370 6461 6468 6958 7007 7260 7455 7644 7810 7865 8085 8470 8580 8591 9230 9372 9438 9555 9940 10010 10153 10164 10437 10780 10934 11011 11076 11715 11858 12012 12705 12740 12922 13845 13916 14014 14910 15015 15620 15730 16170 16401 16940 17182 17395 17787 18460 18876 19110 19383 20020 20306 20874 21021 21868 22022 23430 23595 23716 25410 25773 25844 27335 27690 28028 29645 29820 30030 30459 31460 32305 32340 32802 33033 34364 34790 35035 35574 38220 38269 38766 40612 41748 42042 42955 44044 45227 46860 47190 50765 50820 51546 52185 54670 55055 55380 59290 60060 60137 60918 64610 65604 66066 69580 70070 71071 71148 76538 77077 77532 82005 84084 85910 88935 90454 94380 96915 101530 103092 104370 105105 109340 110110 111683 114807 118580 120274 121836 128865 129220 132132 135681 140140 142142 152295 153076 154154 164010 165165 171820 177870 180411 180908 191345 193830 203060 208740 210210 213213 220220 223366 226135 229614 231231 240548 257730 271362 284284 300685 304590 308308 328020 330330 335049 355355 355740 360822 382690 385385 387660 420420 420959 426426 446732 452270 459228 462462 497497 515460 542724 558415 574035 601370 609180 660660 670098 678405 710710 721644 765380 770770 781781 841918 852852 902055 904540 924924 994994 1066065 1116830 1148070 1156155 1202740 1262877 1340196 1356810 1421420 1492491 1541540 1563562 1675245 1683836 1804110 1989988 2104795 2132130 2233660 2296140 2312310 2345343 2487485 2525754 2713620 2984982 3127124 3350490 3608220 3908905 4209590 4264260 4624620 4690686 4974970 5051508 5472467 5969964 6314385 6700980 7462455 7817810 8419180 9381372 9949940 10944934 11726715 12628770 14924910 15635620 16417401 21889868 23453430 25257540 27362335 29849820 32834802 46906860 54724670 65669604 82087005 109449340 164174010 328348020
- Sum of all divisors σ(n): 1283796864
- Sum of proper divisors (its aliquot sum) s(n): 955448844
- 328348020 is an abundant number, because the sum of its proper divisors (955448844) is greater than itself. Its abundance is 627100824
Bases of 328348020
- Binary: 100111001001000110001011101002
- Hexadecimal: 0x13923174
- Base-36: 5FHMYC
Squares and roots of 328348020
- 328348020 squared (3283480202) is 107812422237920400
- 328348020 cubed (3283480203) is 35399995373225132257608000
-
The
square root of 328348020 is 18120.3758239171 -
The
cube root of 328348020 is 689.8872741703
Scales and comparisons
How big is 328348020?- 328,348,020 seconds is equal to 10 years, 22 weeks, 6 days, 7 hours, 47 minutes.
-
To count from 1 to 328,348,020 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 328348020 cubic inches would be around 57.5 feet tall.
Recreational maths with 328348020
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