421344
421,344 is an even composite number composed of five prime numbers multiplied together.
421344 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 421344:
25 × 32 × 7 × 11 × 19
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 19)See below for interesting mathematical facts about the number 421344 from the Numbermatics database.
Names of 421344
- Cardinal: 421344 can be written as Four hundred twenty-one thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 4.21344 × 105
Factors of 421344
Divisors of 421344
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 28 32 33 36 38 42 44 48 56 57 63 66 72 76 77 84 88 96 99 112 114 126 132 133 144 152 154 168 171 176 198 209 224 228 231 252 264 266 288 304 308 336 342 352 396 399 418 456 462 504 528 532 608 616 627 672 684 693 792 798 836 912 924 1008 1056 1064 1197 1232 1254 1368 1386 1463 1584 1596 1672 1824 1848 1881 2016 2128 2394 2464 2508 2736 2772 2926 3168 3192 3344 3696 3762 4256 4389 4788 5016 5472 5544 5852 6384 6688 7392 7524 8778 9576 10032 11088 11704 12768 13167 15048 17556 19152 20064 22176 23408 26334 30096 35112 38304 46816 52668 60192 70224 105336 140448 210672 421344
- Sum of all divisors σ(n): 1572480
- Sum of proper divisors (its aliquot sum) s(n): 1151136
- 421344 is an abundant number, because the sum of its proper divisors (1151136) is greater than itself. Its abundance is 729792
Bases of 421344
- Binary: 11001101101111000002
- Hexadecimal: 0x66DE0
- Base-36: 9140
Squares and roots of 421344
- 421344 squared (4213442) is 177530766336
- 421344 cubed (4213443) is 74801523211075584
-
The
square root of 421344 is 649.1101601425 -
The
cube root of 421344 is 74.9685201221
Scales and comparisons
How big is 421344?- 421,344 seconds is equal to 4 days, 21 hours, 2 minutes, 24 seconds.
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To count from 1 to 421,344 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 421344 cubic inches would be around 6.2 feet tall.
Recreational maths with 421344
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The information we have on file for 421344 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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