34138368
34,138,368 is an even composite number composed of four prime numbers multiplied together.
34138368 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 34138368:
28 × 33 × 11 × 449
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 449)See below for interesting mathematical facts about the number 34138368 from the Numbermatics database.
Names of 34138368
- Cardinal: 34138368 can be written as Thirty-four million, one hundred thirty-eight thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 3.4138368 × 107
Factors of 34138368
Divisors of 34138368
- Number of divisors d(n): 144
-
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 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 449 528 576 594 704 768 792 864 898 1056 1152 1188 1347 1408 1584 1728 1796 2112 2304 2376 2694 2816 3168 3456 3592 4041 4224 4752 4939 5388 6336 6912 7184 8082 8448 9504 9878 10776 12123 12672 14368 14817 16164 19008 19756 21552 24246 25344 28736 29634 32328 38016 39512 43104 44451 48492 57472 59268 64656 76032 79024 86208 88902 96984 114944 118536 129312 133353 158048 172416 177804 193968 237072 258624 266706 316096 344832 355608 387936 474144 517248 533412 632192 711216 775872 948288 1034496 1066824 1264384 1422432 1551744 1896576 2133648 2844864 3103488 3793152 4267296 5689728 8534592 11379456 17069184 34138368
- Sum of all divisors σ(n): 110376000
- Sum of proper divisors (its aliquot sum) s(n): 76237632
- 34138368 is an abundant number, because the sum of its proper divisors (76237632) is greater than itself. Its abundance is 42099264
Bases of 34138368
- Binary: 100000100011101001000000002
- Hexadecimal: 0x208E900
- Base-36: KBPC0
Squares and roots of 34138368
- 34138368 squared (341383682) is 1165428169703424
- 34138368 cubed (341383683) is 39785815734901939372032
-
The
square root of 34138368 is 5842.8048059129 -
The
cube root of 34138368 is 324.4000545317
Scales and comparisons
How big is 34138368?- 34,138,368 seconds is equal to 1 year, 4 weeks, 3 days, 2 hours, 52 minutes, 48 seconds.
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To count from 1 to 34,138,368 would take you about thirty-two 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 34138368 cubic inches would be around 27 feet tall.
Recreational maths with 34138368
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The information we have on file for 34138368 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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