349688742
349,688,742 is an even composite number composed of seven prime numbers multiplied together.
349688742 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 349688742:
2 × 3 × 13 × 17 × 31 × 47 × 181
See below for interesting mathematical facts about the number 349688742 from the Numbermatics database.
Names of 349688742
- Cardinal: 349688742 can be written as Three hundred forty-nine million, six hundred eighty-eight thousand, seven hundred forty-two.
Scientific notation
- Scientific notation: 3.49688742 × 108
Factors of 349688742
Divisors of 349688742
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 6 13 17 26 31 34 39 47 51 62 78 93 94 102 141 181 186 221 282 362 403 442 527 543 611 663 799 806 1054 1086 1209 1222 1326 1457 1581 1598 1833 2353 2397 2418 2914 3077 3162 3666 4371 4706 4794 5611 6154 6851 7059 8507 8742 9231 10387 11222 13702 14118 16833 17014 18462 18941 20553 20774 24769 25521 31161 33666 37882 40001 41106 49538 51042 56823 62322 72943 74307 80002 95387 110591 113646 120003 144619 145886 148614 190774 218829 221182 240006 263717 286161 289238 321997 331773 433857 437658 527434 572322 643994 663546 791151 867714 965991 1240031 1582302 1880047 1931982 2480062 3428321 3720093 3760094 4483189 5640141 6856642 7440186 8966378 10284963 11280282 13449567 20569926 26899134 58281457 116562914 174844371 349688742
- Sum of all divisors σ(n): 845365248
- Sum of proper divisors (its aliquot sum) s(n): 495676506
- 349688742 is an abundant number, because the sum of its proper divisors (495676506) is greater than itself. Its abundance is 145987764
Bases of 349688742
- Binary: 101001101011111010011101001102
- Hexadecimal: 0x14D7D3A6
- Base-36: 5S71K6
Squares and roots of 349688742
- 349688742 squared (3496887422) is 122282216281542564
- 349688742 cubed (3496887423) is 42760714380464537024614488
-
The
square root of 349688742 is 18699.9663636061 -
The
cube root of 349688742 is 704.5209038093
Scales and comparisons
How big is 349688742?- 349,688,742 seconds is equal to 11 years, 6 weeks, 1 day, 7 hours, 45 minutes, 42 seconds.
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To count from 1 to 349,688,742 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 349688742 cubic inches would be around 58.7 feet tall.
Recreational maths with 349688742
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