345920120
345,920,120 is an even composite number composed of six prime numbers multiplied together.
345920120 is an even 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 345920120:
23 × 5 × 7 × 13 × 292 × 113
(2 × 2 × 2 × 5 × 7 × 13 × 29 × 29 × 113)See below for interesting mathematical facts about the number 345920120 from the Numbermatics database.
Names of 345920120
- Cardinal: 345920120 can be written as Three hundred forty-five million, nine hundred twenty thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.4592012 × 108
Factors of 345920120
Divisors of 345920120
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 20 26 28 29 35 40 52 56 58 65 70 91 104 113 116 130 140 145 182 203 226 232 260 280 290 364 377 406 452 455 520 565 580 728 754 791 812 841 904 910 1015 1130 1160 1469 1508 1582 1624 1682 1820 1885 2030 2260 2639 2938 3016 3164 3277 3364 3640 3770 3955 4060 4205 4520 5278 5876 5887 6328 6554 6728 7345 7540 7910 8120 8410 10283 10556 10933 11752 11774 13108 13195 14690 15080 15820 16385 16820 20566 21112 21866 22939 23548 26216 26390 29380 29435 31640 32770 33640 41132 42601 43732 45878 47096 51415 52780 54665 58760 58870 65540 76531 82264 85202 87464 91756 95033 102830 105560 109330 114695 117740 131080 153062 170404 183512 190066 205660 213005 218660 229390 235480 298207 306124 340808 380132 382655 411320 426010 437320 458780 475165 596414 612248 665231 760264 765310 852020 917560 950330 1192828 1235429 1330462 1491035 1530620 1704040 1900660 2385656 2470858 2660924 2982070 3061240 3326155 3801320 4941716 5321848 5964140 6177145 6652310 8648003 9883432 11928280 12354290 13304620 17296006 24708580 26609240 34592012 43240015 49417160 69184024 86480030 172960060 345920120
- Sum of all divisors σ(n): 1000883520
- Sum of proper divisors (its aliquot sum) s(n): 654963400
- 345920120 is an abundant number, because the sum of its proper divisors (654963400) is greater than itself. Its abundance is 309043280
Bases of 345920120
- Binary: 101001001111001010010011110002
- Hexadecimal: 0x149E5278
- Base-36: 5PY9O8
Squares and roots of 345920120
- 345920120 squared (3459201202) is 119660729420814400
- 345920120 cubed (3459201203) is 41393053880535647745728000
-
The
square root of 345920120 is 18598.9279260929 -
The
cube root of 345920120 is 701.9808654347
Scales and comparisons
How big is 345920120?- 345,920,120 seconds is equal to 10 years, 51 weeks, 6 days, 16 hours, 55 minutes, 20 seconds.
-
To count from 1 to 345,920,120 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 345920120 cubic inches would be around 58.5 feet tall.
Recreational maths with 345920120
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