329083425
329,083,425 is an odd composite number composed of six prime numbers multiplied together.
What does the number 329083425 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.
329083425 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 329083425:
33 × 52 × 11 × 23 × 41 × 47
(3 × 3 × 3 × 5 × 5 × 11 × 23 × 41 × 47)See below for interesting mathematical facts about the number 329083425 from the Numbermatics database.
Names of 329083425
- Cardinal: 329083425 can be written as Three hundred twenty-nine million, eighty-three thousand, four hundred twenty-five.
Scientific notation
- Scientific notation: 3.29083425 × 108
Factors of 329083425
Divisors of 329083425
- Number of divisors d(n): 192
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Complete list of divisors:
1 3 5 9 11 15 23 25 27 33 41 45 47 55 69 75 99 115 123 135 141 165 205 207 225 235 253 275 297 345 369 423 451 495 517 575 615 621 675 705 759 825 943 1025 1035 1081 1107 1175 1265 1269 1353 1485 1551 1725 1845 1927 2115 2255 2277 2475 2585 2829 3075 3105 3243 3525 3795 4059 4653 4715 5175 5405 5535 5781 6325 6345 6765 6831 7425 7755 8487 9225 9635 9729 10373 10575 11275 11385 11891 12177 12925 13959 14145 15525 16215 17343 18975 20295 21197 23265 23575 25461 27025 27675 28905 29187 31119 31725 33825 34155 35673 38775 42435 44321 48175 48645 51865 52029 56925 59455 60885 63591 69795 70725 81075 86715 93357 101475 105985 107019 116325 127305 132963 144525 145935 155595 170775 178365 190773 212175 221605 243225 259325 260145 280071 297275 304425 317955 321057 348975 398889 433575 466785 487531 529925 535095 572319 636525 664815 729675 777975 891825 953865 1108025 1196667 1300725 1400355 1462593 1589775 1605285 1994445 2333925 2437655 2675475 2861595 3324075 4387779 4769325 5983335 7001775 7312965 8026425 9972225 12188275 13163337 14307975 21938895 29916675 36564825 65816685 109694475 329083425
- Sum of all divisors σ(n): 719953920
- Sum of proper divisors (its aliquot sum) s(n): 390870495
- 329083425 is an abundant number, because the sum of its proper divisors (390870495) is greater than itself. Its abundance is 61787070
Bases of 329083425
- Binary: 100111001110101101010001000012
- Hexadecimal: 0x139D6A21
- Base-36: 5FXEE9
Squares and roots of 329083425
- 329083425 squared (3290834252) is 108295900609730625
- 329083425 cubed (3290834253) is 35638385886109742402390625
-
The
square root of 329083425 is 18140.6566860189 -
The
cube root of 329083425 is 690.4019397291
Scales and comparisons
How big is 329083425?- 329,083,425 seconds is equal to 10 years, 24 weeks, 20 hours, 3 minutes, 45 seconds.
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To count from 1 to 329,083,425 would take you about fifteen 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 329083425 cubic inches would be around 57.5 feet tall.
Recreational maths with 329083425
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Keywords: Divisors of 329083425, math, Factors of 329083425, curriculum, school, college, exams, university, Prime factorization of 329083425, STEM, science, technology, engineering, physics, economics, calculator, three hundred twenty-nine million, eighty-three thousand, four hundred twenty-five.