349813152
349,813,152 is an even composite number composed of five prime numbers multiplied together.
349813152 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 349813152:
25 × 32 × 13 × 233 × 401
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 233 × 401)See below for interesting mathematical facts about the number 349813152 from the Numbermatics database.
Names of 349813152
- Cardinal: 349813152 can be written as Three hundred forty-nine million, eight hundred thirteen thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 3.49813152 × 108
Factors of 349813152
Divisors of 349813152
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 233 234 288 312 401 416 466 468 624 699 802 932 936 1203 1248 1398 1604 1864 1872 2097 2406 2796 3029 3208 3609 3728 3744 4194 4812 5213 5592 6058 6416 7218 7456 8388 9087 9624 10426 11184 12116 12832 14436 15639 16776 18174 19248 20852 22368 24232 27261 28872 31278 33552 36348 38496 41704 46917 48464 54522 57744 62556 67104 72696 83408 93433 93834 96928 109044 115488 125112 145392 166816 186866 187668 218088 250224 280299 290784 373732 375336 436176 500448 560598 747464 750672 840897 872352 1121196 1214629 1494928 1501344 1681794 2242392 2429258 2989856 3363588 3643887 4484784 4858516 6727176 7287774 8969568 9717032 10931661 13454352 14575548 19434064 21863322 26908704 29151096 38868128 43726644 58302192 87453288 116604384 174906576 349813152
- Sum of all divisors σ(n): 1078583688
- Sum of proper divisors (its aliquot sum) s(n): 728770536
- 349813152 is an abundant number, because the sum of its proper divisors (728770536) is greater than itself. Its abundance is 378957384
Bases of 349813152
- Binary: 101001101100110111001101000002
- Hexadecimal: 0x14D9B9A0
- Base-36: 5S9PK0
Squares and roots of 349813152
- 349813152 squared (3498131522) is 122369241312175104
- 349813152 cubed (3498131523) is 42806370011260589106167808
-
The
square root of 349813152 is 18703.2925443623 -
The
cube root of 349813152 is 704.6044438671
Scales and comparisons
How big is 349813152?- 349,813,152 seconds is equal to 11 years, 6 weeks, 2 days, 18 hours, 19 minutes, 12 seconds.
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To count from 1 to 349,813,152 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 349813152 cubic inches would be around 58.7 feet tall.
Recreational maths with 349813152
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