381343680
381,343,680 is an even composite number composed of six prime numbers multiplied together.
381343680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 381343680:
26 × 33 × 5 × 19 × 23 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 19 × 23 × 101)See below for interesting mathematical facts about the number 381343680 from the Numbermatics database.
Names of 381343680
- Cardinal: 381343680 can be written as Three hundred eighty-one million, three hundred forty-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 3.8134368 × 108
Factors of 381343680
Divisors of 381343680
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 23 24 27 30 32 36 38 40 45 46 48 54 57 60 64 69 72 76 80 90 92 95 96 101 108 114 115 120 135 138 144 152 160 171 180 184 190 192 202 207 216 228 230 240 270 276 285 288 303 304 320 342 345 360 368 380 404 414 432 437 456 460 480 505 513 540 552 570 576 606 608 621 684 690 720 736 760 808 828 855 864 874 909 912 920 960 1010 1026 1035 1080 1104 1140 1212 1216 1242 1311 1368 1380 1440 1472 1515 1520 1616 1656 1710 1728 1748 1818 1824 1840 1919 2020 2052 2070 2160 2185 2208 2280 2323 2424 2484 2565 2622 2727 2736 2760 2880 3030 3040 3105 3232 3312 3420 3496 3636 3648 3680 3838 3933 4040 4104 4140 4320 4370 4416 4545 4560 4646 4848 4968 5130 5244 5454 5472 5520 5757 6060 6080 6210 6464 6555 6624 6840 6969 6992 7272 7360 7676 7866 8080 8208 8280 8640 8740 9090 9120 9292 9595 9696 9936 10260 10488 10908 10944 11040 11514 11615 11799 12120 12420 13110 13248 13635 13680 13938 13984 14544 15352 15732 16160 16416 16560 17271 17480 18180 18240 18584 19190 19392 19665 19872 20520 20907 20976 21816 22080 23028 23230 23598 24240 24840 26220 27270 27360 27876 27968 28785 29088 30704 31464 32320 32832 33120 34542 34845 34960 36360 37168 38380 39330 39744 41040 41814 41952 43632 44137 46056 46460 47196 48480 49680 51813 52440 54540 54720 55752 57570 58176 58995 61408 62721 62928 66240 69084 69690 69920 72720 74336 76760 78660 82080 83628 83904 86355 87264 88274 92112 92920 94392 96960 99360 103626 104535 104880 109080 111504 115140 117990 122816 125442 125856 132411 138168 139380 139840 145440 148672 153520 157320 164160 167256 172710 174528 176548 184224 185840 188784 198720 207252 209070 209760 218160 220685 223008 230280 235980 250884 251712 259065 264822 276336 278760 290880 307040 313605 314640 334512 345420 353096 368448 371680 377568 397233 414504 418140 419520 436320 441370 446016 460560 471960 501768 518130 529644 552672 557520 614080 627210 629280 662055 669024 690840 706192 743360 755136 794466 829008 836280 872640 882740 921120 943920 1003536 1036260 1059288 1105344 1115040 1191699 1254420 1258560 1324110 1338048 1381680 1412384 1588932 1658016 1672560 1765480 1842240 1887840 1986165 2007072 2072520 2118576 2230080 2383398 2508840 2648220 2763360 2824768 3177864 3316032 3345120 3530960 3775680 3972330 4014144 4145040 4237152 4766796 5017680 5296440 5526720 5958495 6355728 6690240 7061920 7944660 8290080 8474304 9533592 10035360 10592880 11916990 12711456 14123840 15889320 16580160 19067184 20070720 21185760 23833980 25422912 31778640 38134368 42371520 47667960 63557280 76268736 95335920 127114560 190671840 381343680
- Sum of all divisors σ(n): 1492300800
- Sum of proper divisors (its aliquot sum) s(n): 1110957120
- 381343680 is an abundant number, because the sum of its proper divisors (1110957120) is greater than itself. Its abundance is 729613440
Bases of 381343680
- Binary: 101101011101011010111110000002
- Hexadecimal: 0x16BAD7C0
- Base-36: 6B1IO0
Squares and roots of 381343680
- 381343680 squared (3813436802) is 145423002275942400
- 381343680 cubed (3813436803) is 55456142844556250284032000
-
The
square root of 381343680 is 19528.0229414039 -
The
cube root of 381343680 is 725.1683667631
Scales and comparisons
How big is 381343680?- 381,343,680 seconds is equal to 12 years, 6 weeks, 3 days, 16 hours, 48 minutes.
-
To count from 1 to 381,343,680 would take you about eighteen 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 381343680 cubic inches would be around 60.4 feet tall.
Recreational maths with 381343680
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