345978990
345,978,990 is an even composite number composed of six prime numbers multiplied together.
345978990 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 345978990:
2 × 32 × 5 × 7 × 292 × 653
(2 × 3 × 3 × 5 × 7 × 29 × 29 × 653)See below for interesting mathematical facts about the number 345978990 from the Numbermatics database.
Names of 345978990
- Cardinal: 345978990 can be written as Three hundred forty-five million, nine hundred seventy-eight thousand, nine hundred ninety.
Scientific notation
- Scientific notation: 3.4597899 × 108
Factors of 345978990
Divisors of 345978990
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 522 609 630 653 841 870 1015 1218 1305 1306 1682 1827 1959 2030 2523 2610 3045 3265 3654 3918 4205 4571 5046 5877 5887 6090 6530 7569 8410 9135 9142 9795 11754 11774 12615 13713 15138 17661 18270 18937 19590 22855 25230 27426 29385 29435 35322 37845 37874 41139 45710 52983 56811 58770 58870 68565 75690 82278 88305 94685 105966 113622 132559 137130 170433 176610 189370 205695 264915 265118 284055 340866 397677 411390 529830 549173 568110 662795 795354 852165 1098346 1193031 1325590 1647519 1704330 1988385 2386062 2745865 3295038 3844211 3976770 4942557 5491730 5965155 7688422 8237595 9885114 11532633 11930310 16475190 19221055 23065266 24712785 34597899 38442110 49425570 57663165 69195798 115326330 172989495 345978990
- Sum of all divisors σ(n): 1066354848
- Sum of proper divisors (its aliquot sum) s(n): 720375858
- 345978990 is an abundant number, because the sum of its proper divisors (720375858) is greater than itself. Its abundance is 374396868
Bases of 345978990
- Binary: 101001001111100111000011011102
- Hexadecimal: 0x149F386E
- Base-36: 5PZJ3I
Squares and roots of 345978990
- 345978990 squared (3459789902) is 119701461521420100
- 345978990 cubed (3459789903) is 41414190758704789563699000
-
The
square root of 345978990 is 18600.5104768659 -
The
cube root of 345978990 is 702.0206850993
Scales and comparisons
How big is 345978990?- 345,978,990 seconds is equal to 11 years, 9 hours, 16 minutes, 30 seconds.
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To count from 1 to 345,978,990 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 345978990 cubic inches would be around 58.5 feet tall.
Recreational maths with 345978990
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