328048800
328,048,800 is an even composite number composed of five prime numbers multiplied together.
328048800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 328048800:
25 × 3 × 52 × 53 × 2579
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 53 × 2579)See below for interesting mathematical facts about the number 328048800 from the Numbermatics database.
Names of 328048800
- Cardinal: 328048800 can be written as Three hundred twenty-eight million, forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 3.280488 × 108
Factors of 328048800
Divisors of 328048800
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 53 60 75 80 96 100 106 120 150 159 160 200 212 240 265 300 318 400 424 480 530 600 636 795 800 848 1060 1200 1272 1325 1590 1696 2120 2400 2544 2579 2650 3180 3975 4240 5088 5158 5300 6360 7737 7950 8480 10316 10600 12720 12895 15474 15900 20632 21200 25440 25790 30948 31800 38685 41264 42400 51580 61896 63600 64475 77370 82528 103160 123792 127200 128950 136687 154740 193425 206320 247584 257900 273374 309480 386850 410061 412640 515800 546748 618960 683435 773700 820122 1031600 1093496 1237920 1366870 1547400 1640244 2050305 2063200 2186992 2733740 3094800 3280488 3417175 4100610 4373984 5467480 6189600 6560976 6834350 8201220 10251525 10934960 13121952 13668700 16402440 20503050 21869920 27337400 32804880 41006100 54674800 65609760 82012200 109349600 164024400 328048800
- Sum of all divisors σ(n): 1088367840
- Sum of proper divisors (its aliquot sum) s(n): 760319040
- 328048800 is an abundant number, because the sum of its proper divisors (760319040) is greater than itself. Its abundance is 432270240
Bases of 328048800
- Binary: 100111000110110100000101000002
- Hexadecimal: 0x138DA0A0
- Base-36: 5FB82O
Squares and roots of 328048800
- 328048800 squared (3280488002) is 107616015181440000
- 328048800 cubed (3280488003) is 35303304641053174272000000
-
The
square root of 328048800 is 18112.1174907849 -
The
cube root of 328048800 is 689.6776482101
Scales and comparisons
How big is 328048800?- 328,048,800 seconds is equal to 10 years, 22 weeks, 2 days, 20 hours, 40 minutes.
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To count from 1 to 328,048,800 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 328048800 cubic inches would be around 57.5 feet tall.
Recreational maths with 328048800
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