345379104
345,379,104 is an even composite number composed of five prime numbers multiplied together.
345379104 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 345379104:
25 × 32 × 7 × 67 × 2557
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 67 × 2557)See below for interesting mathematical facts about the number 345379104 from the Numbermatics database.
Names of 345379104
- Cardinal: 345379104 can be written as Three hundred forty-five million, three hundred seventy-nine thousand, one hundred four.
Scientific notation
- Scientific notation: 3.45379104 × 108
Factors of 345379104
Divisors of 345379104
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 67 72 84 96 112 126 134 144 168 201 224 252 268 288 336 402 469 504 536 603 672 804 938 1008 1072 1206 1407 1608 1876 2016 2144 2412 2557 2814 3216 3752 4221 4824 5114 5628 6432 7504 7671 8442 9648 10228 11256 15008 15342 16884 17899 19296 20456 22512 23013 30684 33768 35798 40912 45024 46026 53697 61368 67536 71596 81824 92052 107394 122736 135072 143192 161091 171319 184104 214788 245472 286384 322182 342638 368208 429576 513957 572768 644364 685276 736416 859152 1027914 1199233 1288728 1370552 1541871 1718304 2055828 2398466 2577456 2741104 3083742 3597699 4111656 4796932 5154912 5482208 6167484 7195398 8223312 9593864 10793097 12334968 14390796 16446624 19187728 21586194 24669936 28781592 38375456 43172388 49339872 57563184 86344776 115126368 172689552 345379104
- Sum of all divisors σ(n): 1139681088
- Sum of proper divisors (its aliquot sum) s(n): 794301984
- 345379104 is an abundant number, because the sum of its proper divisors (794301984) is greater than itself. Its abundance is 448922880
Bases of 345379104
- Binary: 101001001011000010001001000002
- Hexadecimal: 0x14961120
- Base-36: 5PMO80
Squares and roots of 345379104
- 345379104 squared (3453791042) is 119286725479842816
- 345379104 cubed (3453791043) is 41199142365322081850916864
-
The
square root of 345379104 is 18584.3779556917 -
The
cube root of 345379104 is 701.6147105311
Scales and comparisons
How big is 345379104?- 345,379,104 seconds is equal to 10 years, 51 weeks, 10 hours, 38 minutes, 24 seconds.
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To count from 1 to 345,379,104 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 345379104 cubic inches would be around 58.5 feet tall.
Recreational maths with 345379104
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