230278464
230,278,464 is an even composite number composed of five prime numbers multiplied together.
230278464 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 230278464:
26 × 35 × 13 × 17 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 17 × 67)See below for interesting mathematical facts about the number 230278464 from the Numbermatics database.
Names of 230278464
- Cardinal: 230278464 can be written as Two hundred thirty million, two hundred seventy-eight thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 2.30278464 × 108
Factors of 230278464
Divisors of 230278464
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 54 64 67 68 72 78 81 96 102 104 108 117 134 136 144 153 156 162 192 201 204 208 216 221 234 243 268 272 288 306 312 324 351 402 408 416 432 442 459 468 486 536 544 576 603 612 624 648 663 702 804 816 832 864 871 884 918 936 972 1053 1072 1088 1139 1206 1224 1248 1296 1326 1377 1404 1608 1632 1728 1742 1768 1809 1836 1872 1944 1989 2106 2144 2278 2412 2448 2496 2592 2613 2652 2754 2808 3159 3216 3264 3417 3484 3536 3618 3672 3744 3888 3978 4131 4212 4288 4556 4824 4896 5184 5226 5304 5427 5508 5616 5967 6318 6432 6834 6968 7072 7236 7344 7488 7776 7839 7956 8262 8424 9112 9648 9792 10251 10452 10608 10854 11016 11232 11934 12636 12864 13668 13936 14144 14472 14688 14807 15552 15678 15912 16281 16524 16848 17901 18224 19296 20502 20904 21216 21708 22032 22464 23517 23868 25272 27336 27872 28944 29376 29614 30753 31356 31824 32562 33048 33696 35802 36448 38592 41004 41808 42432 43416 44064 44421 47034 47736 50544 53703 54672 55744 57888 59228 61506 62712 63648 65124 66096 67392 70551 71604 72896 82008 83616 86832 88128 88842 92259 94068 95472 101088 107406 109344 115776 118456 123012 125424 127296 130248 132192 133263 141102 143208 164016 167232 173664 177684 184518 188136 190944 202176 211653 214812 218688 236912 246024 250848 260496 264384 266526 276777 282204 286416 328032 347328 355368 369036 376272 381888 399789 423306 429624 473824 492048 501696 520992 533052 553554 564408 572832 656064 710736 738072 752544 799578 846612 859248 947648 984096 1041984 1066104 1107108 1128816 1145664 1199367 1421472 1476144 1505088 1599156 1693224 1718496 1968192 2132208 2214216 2257632 2398734 2842944 2952288 3198312 3386448 3436992 3598101 4264416 4428432 4515264 4797468 5904576 6396624 6772896 7196202 8528832 8856864 9594936 12793248 13545792 14392404 17713728 19189872 25586496 28784808 38379744 57569616 76759488 115139232 230278464
- Sum of all divisors σ(n): 792163008
- Sum of proper divisors (its aliquot sum) s(n): 561884544
- 230278464 is an abundant number, because the sum of its proper divisors (561884544) is greater than itself. Its abundance is 331606080
Bases of 230278464
- Binary: 11011011100111000101010000002
- Hexadecimal: 0xDB9C540
- Base-36: 3T3O00
Squares and roots of 230278464
- 230278464 squared (2302784642) is 53028170982199296
- 230278464 cubed (2302784643) is 12211245762510225224761344
-
The
square root of 230278464 is 15174.9287971971 -
The
cube root of 230278464 is 612.9397327619
Scales and comparisons
How big is 230278464?- 230,278,464 seconds is equal to 7 years, 16 weeks, 5 days, 6 hours, 14 minutes, 24 seconds.
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To count from 1 to 230,278,464 would take you about ten 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 230278464 cubic inches would be around 51.1 feet tall.
Recreational maths with 230278464
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