381438720
381,438,720 is an even composite number composed of five prime numbers multiplied together.
381438720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 381438720:
28 × 34 × 5 × 13 × 283
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 283)See below for interesting mathematical facts about the number 381438720 from the Numbermatics database.
Names of 381438720
- Cardinal: 381438720 can be written as Three hundred eighty-one million, four hundred thirty-eight thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 3.8143872 × 108
Factors of 381438720
Divisors of 381438720
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 81 90 96 104 108 117 120 128 130 135 144 156 160 162 180 192 195 208 216 234 240 256 260 270 283 288 312 320 324 351 360 384 390 405 416 432 468 480 520 540 566 576 585 624 640 648 702 720 768 780 810 832 849 864 936 960 1040 1053 1080 1132 1152 1170 1248 1280 1296 1404 1415 1440 1560 1620 1664 1698 1728 1755 1872 1920 2080 2106 2160 2264 2304 2340 2496 2547 2592 2808 2830 2880 3120 3240 3328 3396 3456 3510 3679 3744 3840 4160 4212 4245 4320 4528 4680 4992 5094 5184 5265 5616 5660 5760 6240 6480 6792 6912 7020 7358 7488 7641 8320 8424 8490 8640 9056 9360 9984 10188 10368 10530 11037 11232 11320 11520 12480 12735 12960 13584 14040 14716 14976 15282 16640 16848 16980 17280 18112 18395 18720 20376 20736 21060 22074 22464 22640 22923 24960 25470 25920 27168 28080 29432 29952 30564 33111 33696 33960 34560 36224 36790 37440 38205 40752 42120 44148 44928 45280 45846 49920 50940 51840 54336 55185 56160 58864 61128 66222 67392 67920 72448 73580 74880 76410 81504 84240 88296 89856 90560 91692 99333 101880 103680 108672 110370 112320 114615 117728 122256 132444 134784 135840 147160 149760 152820 163008 165555 168480 176592 181120 183384 198666 203760 217344 220740 224640 229230 235456 244512 264888 269568 271680 294320 297999 305640 326016 331110 336960 353184 362240 366768 397332 407520 441480 449280 458460 470912 489024 496665 529776 543360 588640 595998 611280 652032 662220 673920 706368 733536 794664 815040 882960 916920 941824 978048 993330 1059552 1086720 1177280 1191996 1222560 1324440 1347840 1412736 1467072 1489995 1589328 1630080 1765920 1833840 1956096 1986660 2119104 2354560 2383992 2445120 2648880 2825472 2934144 2979990 3178656 3260160 3531840 3667680 3973320 4238208 4709120 4767984 4890240 5297760 5868288 5959980 6357312 7063680 7335360 7946640 8476416 9535968 9780480 10595520 11919960 12714624 14127360 14670720 15893280 19071936 21191040 23839920 25429248 29341440 31786560 38143872 42382080 47679840 63573120 76287744 95359680 127146240 190719360 381438720
- Sum of all divisors σ(n): 1475040336
- Sum of proper divisors (its aliquot sum) s(n): 1093601616
- 381438720 is an abundant number, because the sum of its proper divisors (1093601616) is greater than itself. Its abundance is 712162896
Bases of 381438720
- Binary: 101101011110001001011000000002
- Hexadecimal: 0x16BC4B00
- Base-36: 6B3K00
Squares and roots of 381438720
- 381438720 squared (3814387202) is 145495497115238400
- 381438720 cubed (3814387203) is 55497616185400227790848000
-
The
square root of 381438720 is 19530.4562158695 -
The
cube root of 381438720 is 725.2286048813
Scales and comparisons
How big is 381438720?- 381,438,720 seconds is equal to 12 years, 6 weeks, 4 days, 19 hours, 12 minutes.
-
To count from 1 to 381,438,720 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 381438720 cubic inches would be around 60.4 feet tall.
Recreational maths with 381438720
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 381438720 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 381438720 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/381438720/
Chicago style:
Numbermatics. 2024. "Number 381438720 - Facts about the integer". https://numbermatics.com/n/381438720/
The information we have on file for 381438720 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 381438720, math, Factors of 381438720, curriculum, school, college, exams, university, Prime factorization of 381438720, STEM, science, technology, engineering, physics, economics, calculator, three hundred eighty-one million, four hundred thirty-eight thousand, seven hundred twenty.