349972064
349,972,064 is an even composite number composed of five prime numbers multiplied together.
349972064 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 349972064:
25 × 13 × 172 × 41 × 71
(2 × 2 × 2 × 2 × 2 × 13 × 17 × 17 × 41 × 71)See below for interesting mathematical facts about the number 349972064 from the Numbermatics database.
Names of 349972064
- Cardinal: 349972064 can be written as Three hundred forty-nine million, nine hundred seventy-two thousand and sixty-four.
Scientific notation
- Scientific notation: 3.49972064 × 108
Factors of 349972064
Divisors of 349972064
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 8 13 16 17 26 32 34 41 52 68 71 82 104 136 142 164 208 221 272 284 289 328 416 442 533 544 568 578 656 697 884 923 1066 1136 1156 1207 1312 1394 1768 1846 2132 2272 2312 2414 2788 2911 3536 3692 3757 4264 4624 4828 5576 5822 7072 7384 7514 8528 9061 9248 9656 11152 11644 11849 14768 15028 15691 17056 18122 19312 20519 22304 23288 23698 29536 30056 31382 36244 37843 38624 41038 46576 47396 49487 60112 62764 72488 75686 82076 93152 94792 98974 120224 125528 144976 151372 154037 164152 189584 197948 251056 266747 289952 302744 308074 328304 379168 395896 502112 533494 605488 616148 643331 656608 791792 841279 1066988 1210976 1232296 1286662 1583584 1682558 2133976 2464592 2573324 3365116 4267952 4929184 5146648 6730232 8535904 10293296 10936627 13460464 20586592 21873254 26920928 43746508 87493016 174986032 349972064
- Sum of all divisors σ(n): 818820576
- Sum of proper divisors (its aliquot sum) s(n): 468848512
- 349972064 is an abundant number, because the sum of its proper divisors (468848512) is greater than itself. Its abundance is 118876448
Bases of 349972064
- Binary: 101001101110000100110011000002
- Hexadecimal: 0x14DC2660
- Base-36: 5SD468
Squares and roots of 349972064
- 349972064 squared (3499720642) is 122480445580420096
- 349972064 cubed (3499720643) is 42864734339419298984198144
-
The
square root of 349972064 is 18707.5402979655 -
The
cube root of 349972064 is 704.7111228659
Scales and comparisons
How big is 349972064?- 349,972,064 seconds is equal to 11 years, 6 weeks, 4 days, 14 hours, 27 minutes, 44 seconds.
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To count from 1 to 349,972,064 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 349972064 cubic inches would be around 58.7 feet tall.
Recreational maths with 349972064
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