328966400
328,966,400 is an even composite number composed of four prime numbers multiplied together.
328966400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-two divisors.
Prime factorization of 328966400:
28 × 52 × 72 × 1049
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 1049)See below for interesting mathematical facts about the number 328966400 from the Numbermatics database.
Names of 328966400
- Cardinal: 328966400 can be written as Three hundred twenty-eight million, nine hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 3.289664 × 108
Factors of 328966400
Divisors of 328966400
- Number of divisors d(n): 162
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 128 140 160 175 196 200 224 245 256 280 320 350 392 400 448 490 560 640 700 784 800 896 980 1049 1120 1225 1280 1400 1568 1600 1792 1960 2098 2240 2450 2800 3136 3200 3920 4196 4480 4900 5245 5600 6272 6400 7343 7840 8392 8960 9800 10490 11200 12544 14686 15680 16784 19600 20980 22400 26225 29372 31360 33568 36715 39200 41960 44800 51401 52450 58744 62720 67136 73430 78400 83920 102802 104900 117488 134272 146860 156800 167840 183575 205604 209800 234976 257005 268544 293720 313600 335680 367150 411208 419600 469952 514010 587440 671360 734300 822416 839200 939904 1028020 1174880 1285025 1342720 1468600 1644832 1678400 1879808 2056040 2349760 2570050 2937200 3289664 3356800 4112080 4699520 5140100 5874400 6579328 6713600 8224160 9399040 10280200 11748800 13158656 16448320 20560400 23497600 32896640 41120800 46995200 65793280 82241600 164483200 328966400
- Sum of all divisors σ(n): 948083850
- Sum of proper divisors (its aliquot sum) s(n): 619117450
- 328966400 is an abundant number, because the sum of its proper divisors (619117450) is greater than itself. Its abundance is 290151050
Bases of 328966400
- Binary: 100111001101110100001000000002
- Hexadecimal: 0x139BA100
- Base-36: 5FUW3K
Squares and roots of 328966400
- 328966400 squared (3289664002) is 108218892328960000
- 328966400 cubed (3289664003) is 35600379421445586944000000
-
The
square root of 328966400 is 18137.4309095859 -
The
cube root of 328966400 is 690.3200923313
Scales and comparisons
How big is 328966400?- 328,966,400 seconds is equal to 10 years, 23 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
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To count from 1 to 328,966,400 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 328966400 cubic inches would be around 57.5 feet tall.
Recreational maths with 328966400
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