342144
342,144 is an even composite number composed of three prime numbers multiplied together.
342144 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 342144:
27 × 35 × 11
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11)See below for interesting mathematical facts about the number 342144 from the Numbermatics database.
Names of 342144
- Cardinal: 342144 can be written as Three hundred forty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 3.42144 × 105
Factors of 342144
Divisors of 342144
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 243 264 288 297 324 352 384 396 432 486 528 576 594 648 704 792 864 891 972 1056 1152 1188 1296 1408 1584 1728 1782 1944 2112 2376 2592 2673 3168 3456 3564 3888 4224 4752 5184 5346 6336 7128 7776 9504 10368 10692 12672 14256 15552 19008 21384 28512 31104 38016 42768 57024 85536 114048 171072 342144
- Sum of all divisors σ(n): 1113840
- Sum of proper divisors (its aliquot sum) s(n): 771696
- 342144 is an abundant number, because the sum of its proper divisors (771696) is greater than itself. Its abundance is 429552
Bases of 342144
- Binary: 10100111000100000002
- Hexadecimal: 0x53880
- Base-36: 7C00
Squares and roots of 342144
- 342144 squared (3421442) is 117062516736
- 342144 cubed (3421443) is 40052237726121984
-
The
square root of 342144 is 584.9307651337 -
The
cube root of 342144 is 69.9417201989
Scales and comparisons
How big is 342144?- 342,144 seconds is equal to 3 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 342,144 would take you about three 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 342144 cubic inches would be around 5.8 feet tall.
Recreational maths with 342144
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The information we have on file for 342144 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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