328338400
328,338,400 is an even composite number composed of five prime numbers multiplied together.
328338400 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 328338400:
25 × 52 × 13 × 131 × 241
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 131 × 241)See below for interesting mathematical facts about the number 328338400 from the Numbermatics database.
Names of 328338400
- Cardinal: 328338400 can be written as Three hundred twenty-eight million, three hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 3.283384 × 108
Factors of 328338400
Divisors of 328338400
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 131 160 200 208 241 260 262 325 400 416 482 520 524 650 655 800 964 1040 1048 1205 1300 1310 1703 1928 2080 2096 2410 2600 2620 3133 3275 3406 3856 4192 4820 5200 5240 6025 6266 6550 6812 7712 8515 9640 10400 10480 12050 12532 13100 13624 15665 17030 19280 20960 24100 25064 26200 27248 31330 31571 34060 38560 42575 48200 50128 52400 54496 62660 63142 68120 78325 85150 96400 100256 104800 125320 126284 136240 156650 157855 170300 192800 250640 252568 272480 313300 315710 340600 410423 501280 505136 626600 631420 681200 789275 820846 1010272 1253200 1262840 1362400 1578550 1641692 2052115 2506400 2525680 3157100 3283384 4104230 5051360 6314200 6566768 8208460 10260575 12628400 13133536 16416920 20521150 25256800 32833840 41042300 65667680 82084600 164169200 328338400
- Sum of all divisors σ(n): 873412848
- Sum of proper divisors (its aliquot sum) s(n): 545074448
- 328338400 is an abundant number, because the sum of its proper divisors (545074448) is greater than itself. Its abundance is 216736048
Bases of 328338400
- Binary: 100111001001000001011111000002
- Hexadecimal: 0x13920BE0
- Base-36: 5FHFJ4
Squares and roots of 328338400
- 328338400 squared (3283384002) is 107806104914560000
- 328338400 cubed (3283384003) is 35396883997878767104000000
-
The
square root of 328338400 is 18120.1103749397 -
The
cube root of 328338400 is 689.8805366237
Scales and comparisons
How big is 328338400?- 328,338,400 seconds is equal to 10 years, 22 weeks, 6 days, 5 hours, 6 minutes, 40 seconds.
-
To count from 1 to 328,338,400 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 328338400 cubic inches would be around 57.5 feet tall.
Recreational maths with 328338400
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