384820128
384,820,128 is an even composite number composed of six prime numbers multiplied together.
384820128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 384820128:
25 × 32 × 72 × 11 × 37 × 67
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 37 × 67)See below for interesting mathematical facts about the number 384820128 from the Numbermatics database.
Names of 384820128
- Cardinal: 384820128 can be written as Three hundred eighty-four million, eight hundred twenty thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 3.84820128 × 108
Factors of 384820128
Divisors of 384820128
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 37 42 44 48 49 56 63 66 67 72 74 77 84 88 96 98 99 111 112 126 132 134 144 147 148 154 168 176 196 198 201 222 224 231 252 259 264 268 288 294 296 308 333 336 352 392 396 402 407 441 444 462 469 504 518 528 536 539 588 592 603 616 666 672 693 737 777 784 792 804 814 882 888 924 938 1008 1036 1056 1072 1078 1176 1184 1206 1221 1232 1332 1386 1407 1474 1554 1568 1584 1608 1617 1628 1764 1776 1813 1848 1876 2016 2072 2144 2156 2211 2331 2352 2412 2442 2464 2479 2664 2772 2814 2849 2948 3108 3168 3216 3234 3256 3283 3528 3552 3626 3663 3696 3752 4144 4221 4312 4422 4662 4704 4824 4851 4884 4958 5159 5328 5439 5544 5628 5698 5896 6216 6432 6468 6512 6566 6633 7056 7252 7326 7392 7437 7504 8288 8442 8547 8624 8844 9324 9648 9702 9768 9849 9916 10318 10656 10878 11088 11256 11396 11792 12432 12936 13024 13132 13266 14112 14504 14652 14874 15008 15477 16317 16884 17094 17248 17353 17688 18648 19296 19404 19536 19698 19832 19943 20636 21756 22176 22311 22512 22792 23584 24864 25641 25872 26264 26532 27269 29008 29304 29547 29748 30954 32634 33768 34188 34706 35376 36113 37296 38808 39072 39396 39664 39886 41272 43512 44622 45024 45584 46431 51282 51744 52059 52528 53064 54538 58016 58608 59094 59496 59829 61908 65268 67536 68376 69412 70752 72226 74592 77616 78792 79328 79772 81807 82544 87024 89244 91168 92862 102564 104118 105056 106128 108339 109076 117216 118188 118992 119658 121471 123816 130536 135072 136752 138824 144452 155232 156177 157584 159544 163614 165088 174048 178488 179487 185724 190883 205128 208236 212256 216678 218152 236376 237984 239316 242942 245421 247632 261072 273504 277648 288904 312354 315168 319088 325017 327228 356976 358974 364413 371448 381766 410256 416472 433356 436304 472752 478632 485884 490842 495264 522144 555296 572649 577808 624708 638176 650034 654456 713952 717948 728826 742896 763532 820512 832944 866712 872608 945504 957264 971768 981684 1093239 1145298 1155616 1249416 1300068 1308912 1336181 1435896 1457652 1485792 1527064 1665888 1717947 1733424 1914528 1943536 1963368 2186478 2290596 2498832 2600136 2617824 2672362 2871792 2915304 3054128 3435894 3466848 3887072 3926736 4008543 4372956 4581192 4997664 5200272 5344724 5743584 5830608 6108256 6871788 7853472 8017086 8745912 9162384 10400544 10689448 11661216 12025629 13743576 16034172 17491824 18324768 21378896 24051258 27487152 32068344 34983648 42757792 48102516 54974304 64136688 96205032 128273376 192410064 384820128
- Sum of all divisors σ(n): 1447546464
- Sum of proper divisors (its aliquot sum) s(n): 1062726336
- 384820128 is an abundant number, because the sum of its proper divisors (1062726336) is greater than itself. Its abundance is 677906208
Bases of 384820128
- Binary: 101101110111111100011101000002
- Hexadecimal: 0x16EFE3A0
- Base-36: 6D4140
Squares and roots of 384820128
- 384820128 squared (3848201282) is 148086530913936384
- 384820128 cubed (3848201283) is 56986677781376956274737152
-
The
square root of 384820128 is 19616.8327718825 -
The
cube root of 384820128 is 727.3653245583
Scales and comparisons
How big is 384820128?- 384,820,128 seconds is equal to 12 years, 12 weeks, 1 day, 22 hours, 28 minutes, 48 seconds.
-
To count from 1 to 384,820,128 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 384820128 cubic inches would be around 60.6 feet tall.
Recreational maths with 384820128
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