328728456
328,728,456 is an even composite number composed of five prime numbers multiplied together.
328728456 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 328728456:
23 × 35 × 73 × 17 × 29
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 17 × 29)See below for interesting mathematical facts about the number 328728456 from the Numbermatics database.
Names of 328728456
- Cardinal: 328728456 can be written as Three hundred twenty-eight million, seven hundred twenty-eight thousand, four hundred fifty-six.
Scientific notation
- Scientific notation: 3.28728456 × 108
Factors of 328728456
Divisors of 328728456
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 29 34 36 42 49 51 54 56 58 63 68 72 81 84 87 98 102 108 116 119 126 136 147 153 162 168 174 189 196 203 204 216 232 238 243 252 261 294 306 324 343 348 357 378 392 406 408 441 459 476 486 493 504 522 567 588 609 612 648 686 696 714 756 783 812 833 882 918 952 972 986 1029 1044 1071 1134 1176 1218 1224 1323 1372 1377 1421 1428 1479 1512 1566 1624 1666 1701 1764 1827 1836 1944 1972 2058 2088 2142 2268 2349 2436 2499 2646 2744 2754 2842 2856 2958 3087 3132 3213 3332 3402 3451 3528 3654 3672 3944 3969 4116 4131 4263 4284 4437 4536 4698 4872 4998 5292 5481 5508 5684 5831 5916 6174 6264 6426 6664 6804 6902 7047 7308 7497 7938 8232 8262 8526 8568 8874 9261 9396 9639 9947 9996 10353 10584 10962 11016 11368 11662 11832 11907 12348 12789 12852 13311 13608 13804 14094 14616 14994 15876 16443 16524 17052 17493 17748 18522 18792 19278 19894 19992 20706 21924 22491 23324 23814 24157 24696 25578 25704 26622 27608 27783 28188 28917 29841 29988 31059 31752 32886 33048 34104 34986 35496 37044 38367 38556 39788 39933 41412 43848 44982 46648 47628 48314 49329 51156 52479 53244 55566 56376 57834 59682 59976 62118 65772 67473 69972 72471 74088 76734 77112 79576 79866 82824 83349 89523 89964 93177 95256 96628 98658 102312 104958 106488 111132 115101 115668 119364 119799 124236 131544 134946 139944 144942 153468 157437 159732 166698 169099 179046 179928 186354 193256 197316 202419 209916 217413 222264 230202 231336 238728 239598 248472 268569 269892 279531 289884 306936 314874 319464 333396 338198 345303 358092 372708 394632 404838 419832 434826 460404 472311 479196 507297 537138 539784 559062 579768 629748 652239 666792 676396 690606 716184 745416 805707 809676 838593 869652 920808 944622 958392 1014594 1074276 1118124 1259496 1304478 1352792 1381212 1416933 1521891 1611414 1619352 1677186 1739304 1889244 1956717 2029188 2148552 2236248 2417121 2608956 2762424 2833866 3043782 3222828 3354372 3778488 3913434 4058376 4565673 4834242 5217912 5667732 5870151 6087564 6445656 6708744 7826868 9131346 9668484 11335464 11740302 12175128 13697019 15653736 18262692 19336968 23480604 27394038 36525384 41091057 46961208 54788076 82182114 109576152 164364228 328728456
- Sum of all divisors σ(n): 1179360000
- Sum of proper divisors (its aliquot sum) s(n): 850631544
- 328728456 is an abundant number, because the sum of its proper divisors (850631544) is greater than itself. Its abundance is 521903088
Bases of 328728456
- Binary: 100111001011111111111100010002
- Hexadecimal: 0x1397FF88
- Base-36: 5FPSI0
Squares and roots of 328728456
- 328728456 squared (3287284562) is 108062397784143936
- 328728456 cubed (3287284563) is 35523185175239457363042816
-
The
square root of 328728456 is 18130.8702493841 -
The
cube root of 328728456 is 690.1536141917
Scales and comparisons
How big is 328728456?- 328,728,456 seconds is equal to 10 years, 23 weeks, 3 days, 17 hours, 27 minutes, 36 seconds.
-
To count from 1 to 328,728,456 would take you about fifteen 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 328728456 cubic inches would be around 57.5 feet tall.
Recreational maths with 328728456
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