349045125
349,045,125 is an odd composite number composed of six prime numbers multiplied together.
349045125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 349045125:
3 × 53 × 11 × 13 × 23 × 283
(3 × 5 × 5 × 5 × 11 × 13 × 23 × 283)See below for interesting mathematical facts about the number 349045125 from the Numbermatics database.
Names of 349045125
- Cardinal: 349045125 can be written as Three hundred forty-nine million, forty-five thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 3.49045125 × 108
Factors of 349045125
Divisors of 349045125
- Number of divisors d(n): 128
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Complete list of divisors:
1 3 5 11 13 15 23 25 33 39 55 65 69 75 115 125 143 165 195 253 275 283 299 325 345 375 429 575 715 759 825 849 897 975 1265 1375 1415 1495 1625 1725 2145 2875 3113 3289 3575 3679 3795 4125 4245 4485 4875 6325 6509 7075 7475 8625 9339 9867 10725 11037 15565 16445 17875 18395 18975 19527 21225 22425 31625 32545 35375 37375 40469 46695 49335 53625 55185 71599 77825 82225 84617 91975 94875 97635 106125 112125 121407 162725 202345 214797 233475 246675 253851 275925 357995 389125 411125 423085 459875 488175 607035 813625 930787 1011725 1073985 1167375 1233375 1269255 1379625 1789975 2115425 2440875 2792361 3035175 4653935 5058625 5369925 6346275 8949875 10577125 13961805 15175875 23269675 26849625 31731375 69809025 116348375 349045125
- Sum of all divisors σ(n): 714534912
- Sum of proper divisors (its aliquot sum) s(n): 365489787
- 349045125 is an abundant number, because the sum of its proper divisors (365489787) is greater than itself. Its abundance is 16444662
Bases of 349045125
- Binary: 101001100111000000001100001012
- Hexadecimal: 0x14CE0185
- Base-36: 5RT8XX
Squares and roots of 349045125
- 349045125 squared (3490451252) is 121832499286265625
- 349045125 cubed (3490451253) is 42525039942436995861328125
-
The
square root of 349045125 is 18682.7493961675 -
The
cube root of 349045125 is 704.0884047953
Scales and comparisons
How big is 349045125?- 349,045,125 seconds is equal to 11 years, 5 weeks, 20 hours, 58 minutes, 45 seconds.
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To count from 1 to 349,045,125 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 349045125 cubic inches would be around 58.7 feet tall.
Recreational maths with 349045125
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