345676968
345,676,968 is an even composite number composed of five prime numbers multiplied together.
345676968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 345676968:
23 × 32 × 72 × 13 × 7537
(2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 7537)See below for interesting mathematical facts about the number 345676968 from the Numbermatics database.
Names of 345676968
- Cardinal: 345676968 can be written as Three hundred forty-five million, six hundred seventy-six thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.45676968 × 108
Factors of 345676968
Divisors of 345676968
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7537 7644 11466 15074 15288 22611 22932 30148 45222 45864 52759 60296 67833 90444 97981 105518 135666 158277 180888 195962 211036 271332 293943 316554 369313 391924 422072 474831 542664 587886 633108 685867 738626 783848 881829 949662 1107939 1175772 1266216 1371734 1477252 1763658 1899324 2057601 2215878 2351544 2743468 2954504 3323817 3527316 3798648 4115202 4431756 4801069 5486936 6172803 6647634 7054632 8230404 8863512 9602138 12345606 13295268 14403207 16460808 19204276 24691212 26590536 28806414 38408552 43209621 49382424 57612828 86419242 115225656 172838484 345676968
- Sum of all divisors σ(n): 1172988180
- Sum of proper divisors (its aliquot sum) s(n): 827311212
- 345676968 is an abundant number, because the sum of its proper divisors (827311212) is greater than itself. Its abundance is 481634244
Bases of 345676968
- Binary: 101001001101010011100101010002
- Hexadecimal: 0x149A9CA8
- Base-36: 5PT220
Squares and roots of 345676968
- 345676968 squared (3456769682) is 119492566205673024
- 345676968 cubed (3456769683) is 41305827984516315335711232
-
The
square root of 345676968 is 18592.3900561493 -
The
cube root of 345676968 is 701.8163495535
Scales and comparisons
How big is 345676968?- 345,676,968 seconds is equal to 10 years, 51 weeks, 3 days, 21 hours, 22 minutes, 48 seconds.
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To count from 1 to 345,676,968 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 345676968 cubic inches would be around 58.5 feet tall.
Recreational maths with 345676968
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