345133728
345,133,728 is an even composite number composed of five prime numbers multiplied together.
345133728 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 345133728:
25 × 32 × 17 × 157 × 449
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 157 × 449)See below for interesting mathematical facts about the number 345133728 from the Numbermatics database.
Names of 345133728
- Cardinal: 345133728 can be written as Three hundred forty-five million, one hundred thirty-three thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 3.45133728 × 108
Factors of 345133728
Divisors of 345133728
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 157 204 272 288 306 314 408 449 471 544 612 628 816 898 942 1224 1256 1347 1413 1632 1796 1884 2448 2512 2669 2694 2826 3592 3768 4041 4896 5024 5338 5388 5652 7184 7536 7633 8007 8082 10676 10776 11304 14368 15072 15266 16014 16164 21352 21552 22608 22899 24021 30532 32028 32328 42704 43104 45216 45798 48042 61064 64056 64656 68697 70493 85408 91596 96084 122128 128112 129312 137394 140986 183192 192168 211479 244256 256224 274788 281972 366384 384336 422958 549576 563944 634437 732768 768672 845916 1099152 1127888 1198381 1268874 1691832 2198304 2255776 2396762 2537748 3383664 3595143 4793524 5075496 6767328 7190286 9587048 10150992 10785429 14380572 19174096 20301984 21570858 28761144 38348192 43141716 57522288 86283432 115044576 172566864 345133728
- Sum of all divisors σ(n): 1048156200
- Sum of proper divisors (its aliquot sum) s(n): 703022472
- 345133728 is an abundant number, because the sum of its proper divisors (703022472) is greater than itself. Its abundance is 357888744
Bases of 345133728
- Binary: 101001001001001010010101000002
- Hexadecimal: 0x149252A0
- Base-36: 5PHEW0
Squares and roots of 345133728
- 345133728 squared (3451337282) is 119117290203177984
- 345133728 cubed (3451337283) is 41111394437080695065444352
-
The
square root of 345133728 is 18577.7751089843 -
The
cube root of 345133728 is 701.4485161515
Scales and comparisons
How big is 345133728?- 345,133,728 seconds is equal to 10 years, 50 weeks, 4 days, 14 hours, 28 minutes, 48 seconds.
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To count from 1 to 345,133,728 would take you about sixteen years!
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 345133728 cubic inches would be around 58.5 feet tall.
Recreational maths with 345133728
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The information we have on file for 345133728 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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