34128864
34,128,864 is an even composite number composed of five prime numbers multiplied together.
34128864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 34128864:
25 × 36 × 7 × 11 × 19
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 19)See below for interesting mathematical facts about the number 34128864 from the Numbermatics database.
Names of 34128864
- Cardinal: 34128864 can be written as Thirty-four million, one hundred twenty-eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 3.4128864 × 107
Factors of 34128864
Divisors of 34128864
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 27 28 32 33 36 38 42 44 48 54 56 57 63 66 72 76 77 81 84 88 96 99 108 112 114 126 132 133 144 152 154 162 168 171 176 189 198 209 216 224 228 231 243 252 264 266 288 297 304 308 324 336 342 352 378 396 399 418 432 456 462 486 504 513 528 532 567 594 608 616 627 648 672 684 693 729 756 792 798 836 864 891 912 924 972 1008 1026 1056 1064 1134 1188 1197 1232 1254 1296 1368 1386 1458 1463 1512 1539 1584 1596 1672 1701 1782 1824 1848 1881 1944 2016 2052 2079 2128 2268 2376 2394 2464 2508 2592 2673 2736 2772 2916 2926 3024 3078 3168 3192 3344 3402 3564 3591 3696 3762 3888 4104 4158 4256 4389 4536 4617 4752 4788 5016 5103 5346 5472 5544 5643 5832 5852 6048 6156 6237 6384 6688 6804 7128 7182 7392 7524 7776 8019 8208 8316 8778 9072 9234 9504 9576 10032 10206 10692 10773 11088 11286 11664 11704 12312 12474 12768 13167 13608 13851 14256 14364 15048 16038 16416 16632 16929 17556 18144 18468 18711 19152 20064 20412 21384 21546 22176 22572 23328 23408 24624 24948 26334 27216 27702 28512 28728 30096 32076 32319 33264 33858 35112 36936 37422 38304 39501 40824 42768 43092 45144 46816 49248 49896 50787 52668 54432 55404 56133 57456 60192 64152 64638 66528 67716 70224 73872 74844 79002 81648 85536 86184 90288 96957 99792 101574 105336 110808 112266 114912 118503 128304 129276 135432 140448 147744 149688 152361 158004 163296 172368 180576 193914 199584 203148 210672 221616 224532 237006 256608 258552 270864 299376 304722 316008 344736 355509 387828 406296 421344 443232 449064 474012 517104 541728 598752 609444 632016 711018 775656 812592 898128 948024 1034208 1066527 1218888 1264032 1422036 1551312 1625184 1796256 1896048 2133054 2437776 2844072 3102624 3792096 4266108 4875552 5688144 8532216 11376288 17064432 34128864
- Sum of all divisors σ(n): 132209280
- Sum of proper divisors (its aliquot sum) s(n): 98080416
- 34128864 is an abundant number, because the sum of its proper divisors (98080416) is greater than itself. Its abundance is 63951552
Bases of 34128864
- Binary: 100000100011000011111000002
- Hexadecimal: 0x208C3E0
- Base-36: KBI00
Squares and roots of 34128864
- 34128864 squared (341288642) is 1164779357930496
- 34128864 cubed (341288643) is 39752596296817219436544
-
The
square root of 34128864 is 5841.9914412809 -
The
cube root of 34128864 is 324.3699477979
Scales and comparisons
How big is 34128864?- 34,128,864 seconds is equal to 1 year, 4 weeks, 3 days, 14 minutes, 24 seconds.
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To count from 1 to 34,128,864 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 34128864 cubic inches would be around 27 feet tall.
Recreational maths with 34128864
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