342412980
342,412,980 is an even composite number composed of seven prime numbers multiplied together.
342412980 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 342412980:
22 × 3 × 5 × 72 × 13 × 172 × 31
(2 × 2 × 3 × 5 × 7 × 7 × 13 × 17 × 17 × 31)See below for interesting mathematical facts about the number 342412980 from the Numbermatics database.
Names of 342412980
- Cardinal: 342412980 can be written as Three hundred forty-two million, four hundred twelve thousand, nine hundred eighty.
Scientific notation
- Scientific notation: 3.4241298 × 108
Factors of 342412980
Divisors of 342412980
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 10 12 13 14 15 17 20 21 26 28 30 31 34 35 39 42 49 51 52 60 62 65 68 70 78 84 85 91 93 98 102 105 119 124 130 140 147 155 156 170 182 186 195 196 204 210 217 221 238 245 255 260 273 289 294 310 340 357 364 372 390 403 420 434 442 455 465 476 490 510 527 546 578 588 595 620 637 651 663 714 735 780 806 833 867 868 884 910 930 980 1020 1054 1085 1092 1105 1156 1190 1209 1274 1302 1326 1365 1428 1445 1470 1519 1547 1581 1612 1666 1734 1785 1820 1860 1911 2015 2023 2108 2170 2210 2380 2418 2499 2548 2604 2635 2652 2730 2821 2890 2940 3038 3094 3162 3185 3255 3315 3332 3468 3570 3689 3757 3822 4030 4046 4165 4335 4340 4420 4557 4641 4836 4998 5270 5460 5642 5780 6045 6069 6076 6188 6324 6370 6510 6630 6851 7140 7378 7514 7595 7644 7735 7905 8060 8092 8330 8463 8670 8959 9114 9282 9555 9996 10115 10540 10829 11067 11271 11284 12090 12138 12495 12740 13020 13260 13702 14105 14161 14756 15028 15190 15470 15810 16660 16926 17340 17918 18228 18445 18564 18785 19110 19747 20230 20553 21658 22134 22542 22785 23205 24180 24276 24990 25823 26299 26877 27404 28210 28322 30345 30380 30940 31620 32487 33852 34255 35836 36890 37570 38220 39494 40460 41106 42315 42483 43316 44268 44795 45084 45570 46410 47957 49980 51646 52598 53754 54145 55335 56355 56420 56644 59241 60690 62713 64974 68510 70805 73780 75140 77469 78897 78988 82212 84630 84966 89590 91140 92820 95914 98735 102765 103292 105196 107508 108290 110670 112710 116467 118482 121380 125426 129115 129948 131495 134385 137020 141610 143871 154938 157794 162435 169260 169932 179180 184093 188139 191828 197470 205530 212415 216580 221340 225420 232934 236964 239785 250852 258230 262990 268770 283220 287742 296205 309876 313565 315588 324870 335699 349401 368186 376278 387345 394485 394940 411060 424830 438991 465868 479570 516460 525980 537540 552279 575484 582335 592410 627130 649740 671398 698802 719355 736372 752556 774690 788970 815269 849660 877982 920465 940695 959140 1007097 1104558 1164670 1184820 1254260 1316973 1342796 1397604 1438710 1549380 1577940 1630538 1678495 1747005 1755964 1840930 1881390 2014194 2194955 2209116 2329340 2445807 2633946 2761395 2877420 3261076 3356990 3494010 3681860 3762780 4028388 4076345 4389910 4891614 5035485 5267892 5522790 5706883 6584865 6713980 6988020 8152690 8779820 9783228 10070970 11045580 11413766 12229035 13169730 16305380 17120649 20141940 22827532 24458070 26339460 28534415 34241298 48916140 57068830 68482596 85603245 114137660 171206490 342412980
- Sum of all divisors σ(n): 1317044736
- Sum of proper divisors (its aliquot sum) s(n): 974631756
- 342412980 is an abundant number, because the sum of its proper divisors (974631756) is greater than itself. Its abundance is 632218776
Bases of 342412980
- Binary: 101000110100011001110101101002
- Hexadecimal: 0x1468CEB4
- Base-36: 5NV3JO
Squares and roots of 342412980
- 342412980 squared (3424129802) is 117246648872480400
- 342412980 cubed (3424129803) is 40146774435439653755592000
-
The
square root of 342412980 is 18504.4043405887 -
The
cube root of 342412980 is 699.6004386399
Scales and comparisons
How big is 342412980?- 342,412,980 seconds is equal to 10 years, 46 weeks, 1 day, 2 hours, 43 minutes.
-
To count from 1 to 342,412,980 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 342412980 cubic inches would be around 58.3 feet tall.
Recreational maths with 342412980
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