349474125
349,474,125 is an odd composite number composed of six prime numbers multiplied together.
349474125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 349474125:
3 × 53 × 73 × 11 × 13 × 19
(3 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 13 × 19)See below for interesting mathematical facts about the number 349474125 from the Numbermatics database.
Names of 349474125
- Cardinal: 349474125 can be written as Three hundred forty-nine million, four hundred seventy-four thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 3.49474125 × 108
Factors of 349474125
Divisors of 349474125
- Number of divisors d(n): 256
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Complete list of divisors:
1 3 5 7 11 13 15 19 21 25 33 35 39 49 55 57 65 75 77 91 95 105 125 133 143 147 165 175 195 209 231 245 247 273 275 285 325 343 375 385 399 429 455 475 525 539 627 637 665 715 735 741 825 875 931 975 1001 1029 1045 1155 1225 1235 1365 1375 1425 1463 1617 1625 1715 1729 1911 1925 1995 2145 2275 2375 2625 2695 2717 2793 3003 3135 3185 3325 3575 3675 3705 3773 4125 4389 4459 4655 4875 5005 5145 5187 5225 5775 6125 6175 6517 6825 7007 7125 7315 8085 8151 8575 8645 9555 9625 9975 10241 10725 11319 11375 12103 13377 13475 13585 13965 15015 15675 15925 16625 17875 18375 18525 18865 19019 19551 21021 21945 22295 23275 25025 25725 25935 26125 28875 30723 30875 32585 34125 35035 36309 36575 40425 40755 42875 43225 47775 49049 49875 51205 53625 56595 57057 60515 66885 67375 67925 69825 71687 75075 78375 79625 84721 92625 94325 95095 97755 105105 109725 111475 116375 125125 128625 129675 133133 147147 153615 162925 175175 181545 182875 202125 203775 215061 216125 238875 245245 254163 256025 282975 285285 302575 334425 339625 349125 358435 375375 399399 423605 471625 475475 488775 525525 548625 557375 648375 665665 735735 768075 814625 875875 907725 931931 1018875 1075305 1226225 1270815 1280125 1414875 1426425 1512875 1672125 1792175 1996995 2118025 2377375 2443875 2627625 2795793 3328325 3678675 3840375 4538625 4659655 5376525 6131125 6354075 7132125 8960875 9984975 10590125 13978965 16641625 18393375 23298275 26882625 31770375 49924875 69894825 116491375 349474125
- Sum of all divisors σ(n): 838656000
- Sum of proper divisors (its aliquot sum) s(n): 489181875
- 349474125 is an abundant number, because the sum of its proper divisors (489181875) is greater than itself. Its abundance is 139707750
Bases of 349474125
- Binary: 101001101010010001101010011012
- Hexadecimal: 0x14D48D4D
- Base-36: 5S2FYL
Squares and roots of 349474125
- 349474125 squared (3494741252) is 122132164044515625
- 349474125 cubed (3494741253) is 42682031163813559095703125
-
The
square root of 349474125 is 18694.2270500815 -
The
cube root of 349474125 is 704.3767440771
Scales and comparisons
How big is 349474125?- 349,474,125 seconds is equal to 11 years, 5 weeks, 5 days, 20 hours, 8 minutes, 45 seconds.
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To count from 1 to 349,474,125 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 349474125 cubic inches would be around 58.7 feet tall.
Recreational maths with 349474125
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