345042090
345,042,090 is an even composite number composed of seven prime numbers multiplied together.
345042090 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 345042090:
2 × 32 × 5 × 19 × 23 × 31 × 283
(2 × 3 × 3 × 5 × 19 × 23 × 31 × 283)See below for interesting mathematical facts about the number 345042090 from the Numbermatics database.
Names of 345042090
- Cardinal: 345042090 can be written as Three hundred forty-five million, forty-two thousand and ninety.
Scientific notation
- Scientific notation: 3.4504209 × 108
Factors of 345042090
Divisors of 345042090
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 5 6 9 10 15 18 19 23 30 31 38 45 46 57 62 69 90 93 95 114 115 138 155 171 186 190 207 230 279 283 285 310 342 345 414 437 465 558 566 570 589 690 713 849 855 874 930 1035 1178 1311 1395 1415 1426 1698 1710 1767 2070 2139 2185 2547 2622 2790 2830 2945 3534 3565 3933 4245 4278 4370 5094 5301 5377 5890 6417 6509 6555 7130 7866 8490 8773 8835 10602 10695 10754 12735 12834 13018 13110 13547 16131 17546 17670 19527 19665 21390 25470 26319 26505 26885 27094 32085 32262 32545 39054 39330 40641 43865 48393 52638 53010 53770 58581 64170 65090 67735 78957 80655 81282 87730 96786 97635 117162 121923 123671 131595 135470 157914 161310 166687 195270 201779 203205 241965 243846 247342 263190 292905 333374 371013 394785 403558 406410 483930 500061 585810 605337 609615 618355 742026 789570 833435 1000122 1008895 1113039 1210674 1219230 1236710 1500183 1666870 1816011 1855065 2017790 2226078 2500305 3000366 3026685 3632022 3710130 3833801 5000610 5565195 6053370 7500915 7667602 9080055 11130390 11501403 15001830 18160110 19169005 23002806 34504209 38338010 57507015 69008418 115014030 172521045 345042090
- Sum of all divisors σ(n): 1020764160
- Sum of proper divisors (its aliquot sum) s(n): 675722070
- 345042090 is an abundant number, because the sum of its proper divisors (675722070) is greater than itself. Its abundance is 330679980
Bases of 345042090
- Binary: 101001001000011101100101010102
- Hexadecimal: 0x1490ECAA
- Base-36: 5PFG6I
Squares and roots of 345042090
- 345042090 squared (3450420902) is 119054043871568100
- 345042090 cubed (3450420903) is 41078656120397548801329000
-
The
square root of 345042090 is 18575.3086111645 -
The
cube root of 345042090 is 701.3864290785
Scales and comparisons
How big is 345042090?- 345,042,090 seconds is equal to 10 years, 50 weeks, 3 days, 13 hours, 1 minute, 30 seconds.
-
To count from 1 to 345,042,090 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 345042090 cubic inches would be around 58.4 feet tall.
Recreational maths with 345042090
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