34142976
34,142,976 is an even composite number composed of five prime numbers multiplied together.
34142976 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 34142976:
28 × 32 × 7 × 29 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 29 × 73)See below for interesting mathematical facts about the number 34142976 from the Numbermatics database.
Names of 34142976
- Cardinal: 34142976 can be written as Thirty-four million, one hundred forty-two thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 3.4142976 × 107
Factors of 34142976
Divisors of 34142976
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 64 72 73 84 87 96 112 116 126 128 144 146 168 174 192 203 219 224 232 252 256 261 288 292 336 348 384 406 438 448 464 504 511 522 576 584 609 657 672 696 768 812 876 896 928 1008 1022 1044 1152 1168 1218 1314 1344 1392 1533 1624 1752 1792 1827 1856 2016 2044 2088 2117 2304 2336 2436 2628 2688 2784 3066 3248 3504 3654 3712 4032 4088 4176 4234 4599 4672 4872 5256 5376 5568 6132 6351 6496 7008 7308 7424 8064 8176 8352 8468 9198 9344 9744 10512 11136 12264 12702 12992 14016 14616 14819 16128 16352 16704 16936 18396 18688 19053 19488 21024 22272 24528 25404 25984 28032 29232 29638 32704 33408 33872 36792 38106 38976 42048 44457 49056 50808 51968 56064 58464 59276 65408 66816 67744 73584 76212 77952 84096 88914 98112 101616 116928 118552 130816 133371 135488 147168 152424 155904 168192 177828 196224 203232 233856 237104 266742 270976 294336 304848 355656 392448 406464 467712 474208 533484 541952 588672 609696 711312 812928 948416 1066968 1177344 1219392 1422624 1625856 1896832 2133936 2438784 2845248 3793664 4267872 4877568 5690496 8535744 11380992 17071488 34142976
- Sum of all divisors σ(n): 117979680
- Sum of proper divisors (its aliquot sum) s(n): 83836704
- 34142976 is an abundant number, because the sum of its proper divisors (83836704) is greater than itself. Its abundance is 49693728
Bases of 34142976
- Binary: 100000100011111011000000002
- Hexadecimal: 0x208FB00
- Base-36: KBSW0
Squares and roots of 34142976
- 34142976 squared (341429762) is 1165742810136576
- 34142976 cubed (341429763) is 39801928788665671090176
-
The
square root of 34142976 is 5843.1991237677 -
The
cube root of 34142976 is 324.4146497245
Scales and comparisons
How big is 34142976?- 34,142,976 seconds is equal to 1 year, 4 weeks, 3 days, 4 hours, 9 minutes, 36 seconds.
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To count from 1 to 34,142,976 would take you about thirty-two weeks!
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 34142976 cubic inches would be around 27 feet tall.
Recreational maths with 34142976
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