385728
385,728 is an even composite number composed of four prime numbers multiplied together.
385728 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 385728:
26 × 3 × 72 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 41)See below for interesting mathematical facts about the number 385728 from the Numbermatics database.
Names of 385728
- Cardinal: 385728 can be written as Three hundred eighty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 3.85728 × 105
Factors of 385728
Divisors of 385728
- Number of divisors d(n): 84
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 56 64 82 84 96 98 112 123 147 164 168 192 196 224 246 287 294 328 336 392 448 492 574 588 656 672 784 861 984 1148 1176 1312 1344 1568 1722 1968 2009 2296 2352 2624 3136 3444 3936 4018 4592 4704 6027 6888 7872 8036 9184 9408 12054 13776 16072 18368 24108 27552 32144 48216 55104 64288 96432 128576 192864 385728
- Sum of all divisors σ(n): 1216152
- Sum of proper divisors (its aliquot sum) s(n): 830424
- 385728 is an abundant number, because the sum of its proper divisors (830424) is greater than itself. Its abundance is 444696
Bases of 385728
- Binary: 10111100010110000002
- Hexadecimal: 0x5E2C0
- Base-36: 89MO
Squares and roots of 385728
- 385728 squared (3857282) is 148786089984
- 385728 cubed (3857283) is 57390960917348352
-
The
square root of 385728 is 621.0700443591 -
The
cube root of 385728 is 72.7936878157
Scales and comparisons
How big is 385728?- 385,728 seconds is equal to 4 days, 11 hours, 8 minutes, 48 seconds.
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To count from 1 to 385,728 would take you about four days.
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 385728 cubic inches would be around 6.1 feet tall.
Recreational maths with 385728
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The information we have on file for 385728 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!
Keywords: Divisors of 385728, math, Factors of 385728, curriculum, school, college, exams, university, Prime factorization of 385728, STEM, science, technology, engineering, physics, economics, calculator, three hundred eighty-five thousand, seven hundred twenty-eight.