384768384
384,768,384 is an even composite number composed of five prime numbers multiplied together.
What does the number 384768384 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 432 divisors.
384768384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 384768384:
27 × 3 × 72 × 112 × 132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 11 × 13 × 13)See below for interesting mathematical facts about the number 384768384 from the Numbermatics database.
Names of 384768384
- Cardinal: 384768384 can be written as Three hundred eighty-four million, seven hundred sixty-eight thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 3.84768384 × 108
Factors of 384768384
Divisors of 384768384
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 48 49 52 56 64 66 77 78 84 88 91 96 98 104 112 121 128 132 143 147 154 156 168 169 176 182 192 196 208 224 231 242 264 273 286 294 308 312 336 338 352 363 364 384 392 416 429 448 462 484 507 528 539 546 572 588 616 624 637 672 676 704 726 728 784 832 847 858 896 924 968 1001 1014 1056 1078 1092 1144 1176 1183 1232 1248 1274 1344 1352 1408 1452 1456 1568 1573 1617 1664 1694 1716 1848 1859 1911 1936 2002 2028 2112 2156 2184 2288 2352 2366 2464 2496 2541 2548 2688 2704 2904 2912 3003 3136 3146 3234 3388 3432 3549 3696 3718 3822 3872 4004 4056 4224 4312 4368 4576 4704 4719 4732 4928 4992 5082 5096 5408 5577 5808 5824 5929 6006 6272 6292 6468 6776 6864 7007 7098 7392 7436 7644 7744 8008 8112 8281 8624 8736 9152 9408 9438 9464 9856 10164 10192 10816 11011 11154 11616 11648 11858 12012 12584 12936 13013 13552 13728 14014 14196 14784 14872 15288 15488 16016 16224 16562 17248 17472 17787 18304 18816 18876 18928 20328 20384 20449 21021 21632 22022 22308 23232 23716 24024 24843 25168 25872 26026 27104 27456 28028 28392 29568 29744 30576 32032 32448 33033 33124 34496 34944 35574 37752 37856 39039 40656 40768 40898 42042 44044 44616 46464 47432 48048 49686 50336 51744 52052 54208 54912 56056 56784 59488 61152 61347 64064 64896 66066 66248 68992 71148 75504 75712 77077 78078 81312 81536 81796 84084 88088 89232 91091 94864 96096 99372 100672 103488 104104 108416 112112 113568 118976 122304 122694 128128 132132 132496 142296 143143 151008 151424 154154 156156 162624 163592 168168 176176 178464 182182 189728 192192 198744 201344 206976 208208 224224 227136 231231 237952 244608 245388 264264 264992 273273 284592 286286 302016 308308 312312 325248 327184 336336 352352 356928 364364 379456 384384 397488 416416 429429 448448 454272 462462 490776 528528 529984 546546 569184 572572 604032 616616 624624 654368 672672 704704 713856 728728 758912 794976 832832 858858 896896 924924 981552 1002001 1057056 1059968 1093092 1138368 1145144 1233232 1249248 1308736 1345344 1409408 1457456 1589952 1665664 1717716 1849848 1963104 2004002 2114112 2186184 2276736 2290288 2466464 2498496 2617472 2690688 2914912 3006003 3179904 3435432 3699696 3926208 4008004 4228224 4372368 4580576 4932928 4996992 5829824 6012006 6870864 7399392 7852416 8016008 8744736 9161152 9865856 11659648 12024012 13741728 14798784 16032016 17489472 18322304 24048024 27483456 29597568 32064032 34978944 48096048 54966912 64128064 96192096 128256128 192384192 384768384
- Sum of all divisors σ(n): 1415069460
- Sum of proper divisors (its aliquot sum) s(n): 1030301076
- 384768384 is an abundant number, because the sum of its proper divisors (1030301076) is greater than itself. Its abundance is 645532692
Bases of 384768384
- Binary: 101101110111100011001100000002
- Hexadecimal: 0x16EF1980
- Base-36: 6D2X6O
Squares and roots of 384768384
- 384768384 squared (3847683842) is 148046709325971456
- 384768384 cubed (3847683843) is 56963693103871766355247104
-
The
square root of 384768384 is 19615.5138602077 -
The
cube root of 384768384 is 727.3327218993
Scales and comparisons
How big is 384768384?- 384,768,384 seconds is equal to 12 years, 12 weeks, 1 day, 8 hours, 6 minutes, 24 seconds.
-
To count from 1 to 384,768,384 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 384768384 cubic inches would be around 60.6 feet tall.
Recreational maths with 384768384
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