3968328
3,968,328 is an even composite number composed of six prime numbers multiplied together.
3968328 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 3968328:
23 × 3 × 7 × 13 × 23 × 79
(2 × 2 × 2 × 3 × 7 × 13 × 23 × 79)See below for interesting mathematical facts about the number 3968328 from the Numbermatics database.
Names of 3968328
- Cardinal: 3968328 can be written as Three million, nine hundred sixty-eight thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 3.968328 × 106
Factors of 3968328
Divisors of 3968328
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 21 23 24 26 28 39 42 46 52 56 69 78 79 84 91 92 104 138 156 158 161 168 182 184 237 273 276 299 312 316 322 364 474 483 546 552 553 598 632 644 728 897 948 966 1027 1092 1106 1196 1288 1659 1794 1817 1896 1932 2054 2093 2184 2212 2392 3081 3318 3588 3634 3864 4108 4186 4424 5451 6162 6279 6636 7176 7189 7268 8216 8372 10902 12324 12558 12719 13272 14378 14536 16744 21567 21804 23621 24648 25116 25438 28756 38157 43134 43608 47242 50232 50876 57512 70863 76314 86268 94484 101752 141726 152628 165347 172536 188968 283452 305256 330694 496041 566904 661388 992082 1322776 1984164 3968328
- Sum of all divisors σ(n): 12902400
- Sum of proper divisors (its aliquot sum) s(n): 8934072
- 3968328 is an abundant number, because the sum of its proper divisors (8934072) is greater than itself. Its abundance is 4965744
Bases of 3968328
- Binary: 11110010001101010010002
- Hexadecimal: 0x3C8D48
- Base-36: 2D1ZC
Squares and roots of 3968328
- 3968328 squared (39683282) is 15747627115584
- 3968328 cubed (39683283) is 62491749616331223552
-
The
square root of 3968328 is 1992.0662639581 -
The
cube root of 3968328 is 158.3200264595
Scales and comparisons
How big is 3968328?- 3,968,328 seconds is equal to 6 weeks, 3 days, 22 hours, 18 minutes, 48 seconds.
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To count from 1 to 3,968,328 would take you about nine weeks!
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 3968328 cubic inches would be around 13.2 feet tall.
Recreational maths with 3968328
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The information we have on file for 3968328 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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