34428240
34,428,240 is an even composite number composed of six prime numbers multiplied together.
34428240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 34428240:
24 × 35 × 5 × 7 × 11 × 23
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 23)See below for interesting mathematical facts about the number 34428240 from the Numbermatics database.
Names of 34428240
- Cardinal: 34428240 can be written as Thirty-four million, four hundred twenty-eight thousand, two hundred forty.
Scientific notation
- Scientific notation: 3.442824 × 107
Factors of 34428240
Divisors of 34428240
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 23 24 27 28 30 33 35 36 40 42 44 45 46 48 54 55 56 60 63 66 69 70 72 77 80 81 84 88 90 92 99 105 108 110 112 115 120 126 132 135 138 140 144 154 161 162 165 168 176 180 184 189 198 207 210 216 220 230 231 240 243 252 253 264 270 276 280 297 308 315 322 324 330 336 345 360 368 378 385 396 405 414 420 432 440 460 462 483 486 495 504 506 528 540 552 560 567 594 616 621 630 644 648 660 690 693 720 756 759 770 792 805 810 828 840 880 891 920 924 945 966 972 990 1008 1012 1035 1080 1104 1134 1155 1188 1215 1232 1242 1260 1265 1288 1296 1320 1380 1386 1449 1485 1512 1518 1540 1584 1610 1620 1656 1680 1701 1771 1782 1840 1848 1863 1890 1932 1944 1980 2024 2070 2079 2160 2268 2277 2310 2376 2415 2430 2484 2520 2530 2576 2640 2673 2760 2772 2835 2898 2970 3024 3036 3080 3105 3220 3240 3312 3402 3465 3542 3564 3696 3726 3780 3795 3864 3888 3960 4048 4140 4158 4347 4455 4536 4554 4620 4752 4830 4860 4968 5040 5060 5313 5346 5520 5544 5589 5670 5796 5940 6072 6160 6210 6237 6440 6480 6804 6831 6930 7084 7128 7245 7452 7560 7590 7728 7920 8280 8316 8505 8694 8855 8910 9072 9108 9240 9315 9660 9720 9936 10120 10395 10626 10692 11088 11178 11340 11385 11592 11880 12144 12420 12474 12880 13041 13365 13608 13662 13860 14168 14256 14490 14904 15120 15180 15939 16560 16632 17010 17388 17710 17820 18216 18480 18630 18711 19320 19440 20240 20493 20790 21252 21384 21735 22356 22680 22770 23184 23760 24840 24948 26082 26565 26730 27216 27324 27720 27945 28336 28980 29808 30360 31185 31878 33264 34020 34155 34776 35420 35640 36432 37260 37422 38640 39123 40986 41580 42504 42768 43470 44712 45360 45540 47817 49680 49896 52164 53130 53460 54648 55440 55890 57960 60720 61479 62370 63756 65205 68040 68310 69552 70840 71280 74520 74844 78246 79695 81972 83160 85008 86940 89424 91080 93555 95634 99792 102465 104328 106260 106920 109296 111780 115920 122958 124740 127512 130410 136080 136620 141680 143451 149040 149688 156492 159390 163944 166320 173880 182160 187110 191268 195615 204930 208656 212520 213840 223560 239085 245916 249480 255024 260820 273240 286902 299376 307395 312984 318780 327888 347760 374220 382536 391230 409860 425040 430353 447120 478170 491832 498960 521640 546480 573804 614790 625968 637560 717255 748440 765072 782460 819720 860706 956340 983664 1043280 1147608 1229580 1275120 1434510 1496880 1564920 1639440 1721412 1912680 2151765 2295216 2459160 2869020 3129840 3442824 3825360 4303530 4918320 5738040 6885648 8607060 11476080 17214120 34428240
- Sum of all divisors σ(n): 155990016
- Sum of proper divisors (its aliquot sum) s(n): 121561776
- 34428240 is an abundant number, because the sum of its proper divisors (121561776) is greater than itself. Its abundance is 87133536
Bases of 34428240
- Binary: 100000110101010101010100002
- Hexadecimal: 0x20D5550
- Base-36: KHX00
Squares and roots of 34428240
- 34428240 squared (344282402) is 1185303709497600
- 34428240 cubed (344282403) is 40807920583473652224000
-
The
square root of 34428240 is 5867.5582655821 -
The
cube root of 34428240 is 325.3156381281
Scales and comparisons
How big is 34428240?- 34,428,240 seconds is equal to 1 year, 4 weeks, 6 days, 11 hours, 24 minutes.
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To count from 1 to 34,428,240 would take you about thirty-three 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 34428240 cubic inches would be around 27.1 feet tall.
Recreational maths with 34428240
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