380640064
380,640,064 is an even composite number composed of six prime numbers multiplied together.
380640064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 380640064:
26 × 7 × 17 × 23 × 41 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 17 × 23 × 41 × 53)See below for interesting mathematical facts about the number 380640064 from the Numbermatics database.
Names of 380640064
- Cardinal: 380640064 can be written as Three hundred eighty million, six hundred forty thousand and sixty-four.
Scientific notation
- Scientific notation: 3.80640064 × 108
Factors of 380640064
Divisors of 380640064
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 4 7 8 14 16 17 23 28 32 34 41 46 53 56 64 68 82 92 106 112 119 136 161 164 184 212 224 238 272 287 322 328 368 371 391 424 448 476 544 574 644 656 697 736 742 782 848 901 943 952 1088 1148 1219 1288 1312 1394 1472 1484 1564 1696 1802 1886 1904 2173 2296 2438 2576 2624 2737 2788 2968 3128 3392 3604 3772 3808 4346 4592 4876 4879 5152 5474 5576 5936 6256 6307 6601 7208 7544 7616 8533 8692 9184 9752 9758 10304 10948 11152 11872 12512 12614 13202 14416 15088 15211 16031 17066 17384 18368 19504 19516 20723 21896 22304 23744 25024 25228 26404 28832 30176 30422 32062 34132 34768 36941 39008 39032 41446 43792 44608 49979 50456 52808 57664 60352 60844 64124 68264 69536 73882 78016 78064 82892 87584 99958 100912 105616 112217 121688 128248 136528 139072 145061 147764 156128 165784 175168 199916 201824 211232 224434 243376 256496 258587 273056 290122 295528 312256 331568 349853 399832 403648 422464 448868 486752 512992 517174 546112 580244 591056 663136 699706 799664 849643 897736 973504 1025984 1034348 1160488 1182112 1326272 1399412 1599328 1699286 1795472 2068696 2320976 2364224 2798824 3198656 3398572 3590944 4137392 4641952 5597648 5947501 6797144 7181888 8274784 9283904 11195296 11895002 13594288 16549568 22390592 23790004 27188576 47580008 54377152 95160016 190320032 380640064
- Sum of all divisors σ(n): 995452416
- Sum of proper divisors (its aliquot sum) s(n): 614812352
- 380640064 is an abundant number, because the sum of its proper divisors (614812352) is greater than itself. Its abundance is 234172288
Bases of 380640064
- Binary: 101101011000000011011010000002
- Hexadecimal: 0x16B01B40
- Base-36: 6AMFR4
Squares and roots of 380640064
- 380640064 squared (3806400642) is 144886858321924096
- 380640064 cubed (3806400643) is 55149743024416120504582144
-
The
square root of 380640064 is 19509.9990773961 -
The
cube root of 380640064 is 724.7220902341
Scales and comparisons
How big is 380640064?- 380,640,064 seconds is equal to 12 years, 5 weeks, 2 days, 13 hours, 21 minutes, 4 seconds.
-
To count from 1 to 380,640,064 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 380640064 cubic inches would be around 60.4 feet tall.
Recreational maths with 380640064
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