384225408
384,225,408 is an even composite number composed of six prime numbers multiplied together.
384225408 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 384225408:
27 × 32 × 7 × 29 × 31 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 29 × 31 × 53)See below for interesting mathematical facts about the number 384225408 from the Numbermatics database.
Names of 384225408
- Cardinal: 384225408 can be written as Three hundred eighty-four million, two hundred twenty-five thousand, four hundred eight.
Scientific notation
- Scientific notation: 3.84225408 × 108
Factors of 384225408
Divisors of 384225408
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 31 32 36 42 48 53 56 58 62 63 64 72 84 87 93 96 106 112 116 124 126 128 144 159 168 174 186 192 203 212 217 224 232 248 252 261 279 288 318 336 348 371 372 384 406 424 434 448 464 477 496 504 522 558 576 609 636 651 672 696 742 744 812 848 868 896 899 928 954 992 1008 1044 1113 1116 1152 1218 1272 1302 1344 1392 1484 1488 1537 1624 1643 1696 1736 1798 1827 1856 1908 1953 1984 2016 2088 2226 2232 2436 2544 2604 2688 2697 2784 2968 2976 3074 3248 3286 3339 3392 3472 3596 3654 3712 3816 3906 3968 4032 4176 4452 4464 4611 4872 4929 5088 5208 5394 5568 5936 5952 6148 6293 6496 6572 6678 6784 6944 7192 7308 7632 7812 8064 8091 8352 8904 8928 9222 9744 9858 10176 10416 10759 10788 11136 11501 11872 11904 12296 12586 12992 13144 13356 13833 13888 14384 14616 14787 15264 15624 16182 16704 17808 17856 18444 18879 19488 19716 20352 20832 21518 21576 23002 23744 24592 25172 25984 26288 26712 27666 27776 28768 29232 29574 30528 31248 32277 32364 33408 34503 35616 35712 36888 37758 38976 39432 41664 43036 43152 46004 47488 47647 49184 50344 52576 53424 55332 56637 57536 58464 59148 61056 62496 64554 64728 69006 71232 73776 75516 77952 78864 83328 86072 86304 92008 95294 96831 98368 100688 103509 105152 106848 110664 113274 115072 116928 118296 124992 129108 129456 138012 142464 142941 147552 151032 157728 172144 172608 184016 190588 193662 196736 201376 207018 210304 213696 221328 226548 233856 236592 249984 258216 258912 276024 285882 295104 302064 315456 333529 344288 345216 368032 381176 387324 402752 414036 427392 428823 442656 453096 473184 516432 517824 552048 571764 590208 604128 630912 667058 688576 736064 762352 774648 805504 828072 857646 885312 906192 946368 1000587 1032864 1035648 1104096 1143528 1208256 1334116 1377152 1472128 1524704 1549296 1656144 1715292 1770624 1812384 1892736 2001174 2065728 2208192 2287056 2416512 2668232 3001761 3049408 3098592 3312288 3430584 3624768 4002348 4131456 4416384 4574112 5336464 6003522 6098816 6197184 6624576 6861168 7249536 8004696 9148224 10672928 12007044 12394368 13249152 13722336 16009392 18296448 21345856 24014088 27444672 32018784 42691712 48028176 54889344 64037568 96056352 128075136 192112704 384225408
- Sum of all divisors σ(n): 1374796800
- Sum of proper divisors (its aliquot sum) s(n): 990571392
- 384225408 is an abundant number, because the sum of its proper divisors (990571392) is greater than itself. Its abundance is 606345984
Bases of 384225408
- Binary: 101101110011011010000100000002
- Hexadecimal: 0x16E6D080
- Base-36: 6CRA80
Squares and roots of 384225408
- 384225408 squared (3842254082) is 147629164152766464
- 384225408 cubed (3842254083) is 56722875829295668959117312
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The
square root of 384225408 is 19601.6685004109 -
The
cube root of 384225408 is 726.9904292859
Scales and comparisons
How big is 384225408?- 384,225,408 seconds is equal to 12 years, 11 weeks, 2 days, 1 hour, 16 minutes, 48 seconds.
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To count from 1 to 384,225,408 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 384225408 cubic inches would be around 60.6 feet tall.
Recreational maths with 384225408
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