328006800
328,006,800 is an even composite number composed of five prime numbers multiplied together.
328006800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 328006800:
24 × 33 × 52 × 112 × 251
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 251)See below for interesting mathematical facts about the number 328006800 from the Numbermatics database.
Names of 328006800
- Cardinal: 328006800 can be written as Three hundred twenty-eight million, six thousand, eight hundred.
Scientific notation
- Scientific notation: 3.280068 × 108
Factors of 328006800
Divisors of 328006800
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 33 36 40 44 45 48 50 54 55 60 66 72 75 80 88 90 99 100 108 110 120 121 132 135 144 150 165 176 180 198 200 216 220 225 240 242 251 264 270 275 297 300 330 360 363 396 400 432 440 450 484 495 502 528 540 550 594 600 605 660 675 720 726 753 792 825 880 900 968 990 1004 1080 1089 1100 1188 1200 1210 1255 1320 1350 1452 1485 1506 1584 1650 1800 1815 1936 1980 2008 2160 2178 2200 2259 2376 2420 2475 2510 2640 2700 2761 2904 2970 3012 3025 3267 3300 3600 3630 3765 3960 4016 4356 4400 4518 4752 4840 4950 5020 5400 5445 5522 5808 5940 6024 6050 6275 6534 6600 6777 7260 7425 7530 7920 8283 8712 9036 9075 9680 9900 10040 10800 10890 11044 11295 11880 12048 12100 12550 13068 13200 13554 13805 14520 14850 15060 16335 16566 17424 18072 18150 18825 19800 20080 21780 22088 22590 23760 24200 24849 25100 26136 27108 27225 27610 29040 29700 30120 30371 32670 33132 33885 36144 36300 37650 39600 41415 43560 44176 45180 48400 49698 50200 52272 54216 54450 55220 56475 59400 60240 60742 65340 66264 67770 69025 72600 74547 75300 81675 82830 87120 90360 91113 99396 100400 108432 108900 110440 112950 118800 121484 124245 130680 132528 135540 138050 145200 149094 150600 151855 163350 165660 169425 180720 182226 198792 207075 217800 220880 225900 242968 248490 261360 271080 273339 276100 298188 301200 303710 326700 331320 338850 364452 372735 397584 414150 435600 451800 455565 485936 496980 542160 546678 552200 596376 607420 621225 653400 662640 677700 728904 745470 759275 820017 828300 903600 911130 993960 1093356 1104400 1192752 1214840 1242450 1306800 1355400 1366695 1457808 1490940 1518550 1640034 1656600 1822260 1863675 1987920 2186712 2277825 2429680 2484900 2710800 2733390 2981880 3037100 3280068 3313200 3644520 3727350 4100085 4373424 4555650 4969800 5466780 5963760 6074200 6560136 6833475 7289040 7454700 8200170 9111300 9939600 10933560 12148400 13120272 13666950 14909400 16400340 18222600 20500425 21867120 27333900 29818800 32800680 36445200 41000850 54667800 65601360 82001700 109335600 164003400 328006800
- Sum of all divisors σ(n): 1288355040
- Sum of proper divisors (its aliquot sum) s(n): 960348240
- 328006800 is an abundant number, because the sum of its proper divisors (960348240) is greater than itself. Its abundance is 632341440
Bases of 328006800
- Binary: 100111000110011111100100100002
- Hexadecimal: 0x138CFC90
- Base-36: 5FABO0
Squares and roots of 328006800
- 328006800 squared (3280068002) is 107588460846240000
- 328006800 cubed (3280068003) is 35289746759100474432000000
-
The
square root of 328006800 is 18110.9580088961 -
The
cube root of 328006800 is 689.6482138723
Scales and comparisons
How big is 328006800?- 328,006,800 seconds is equal to 10 years, 22 weeks, 2 days, 9 hours.
-
To count from 1 to 328,006,800 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 328006800 cubic inches would be around 57.5 feet tall.
Recreational maths with 328006800
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