378483840
378,483,840 is an even composite number composed of five prime numbers multiplied together.
378483840 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 378483840:
27 × 34 × 5 × 72 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 149)See below for interesting mathematical facts about the number 378483840 from the Numbermatics database.
Names of 378483840
- Cardinal: 378483840 can be written as Three hundred seventy-eight million, four hundred eighty-three thousand, eight hundred forty.
Scientific notation
- Scientific notation: 3.7848384 × 108
Factors of 378483840
Divisors of 378483840
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 80 81 84 90 96 98 105 108 112 120 126 128 135 140 144 147 149 160 162 168 180 189 192 196 210 216 224 240 245 252 270 280 288 294 298 315 320 324 336 360 378 384 392 405 420 432 441 447 448 480 490 504 540 560 567 576 588 596 630 640 648 672 720 735 745 756 784 810 840 864 882 894 896 945 960 980 1008 1043 1080 1120 1134 1152 1176 1192 1260 1296 1323 1341 1344 1440 1470 1490 1512 1568 1620 1680 1728 1764 1788 1890 1920 1960 2016 2086 2160 2205 2235 2240 2268 2352 2384 2520 2592 2646 2682 2688 2835 2880 2940 2980 3024 3129 3136 3240 3360 3456 3528 3576 3780 3920 3969 4023 4032 4172 4320 4410 4470 4480 4536 4704 4768 5040 5184 5215 5292 5364 5670 5760 5880 5960 6048 6258 6272 6480 6615 6705 6720 7056 7152 7301 7560 7840 7938 8046 8064 8344 8640 8820 8940 9072 9387 9408 9536 10080 10368 10430 10584 10728 11340 11760 11920 12069 12096 12516 12960 13230 13410 13440 14112 14304 14602 15120 15645 15680 15876 16092 16688 17280 17640 17880 18144 18774 18816 19072 19845 20115 20160 20860 21168 21456 21903 22680 23520 23840 24138 24192 25032 25920 26460 26820 28161 28224 28608 29204 30240 31290 31360 31752 32184 33376 35280 35760 36288 36505 37548 39690 40230 40320 41720 42336 42912 43806 45360 46935 47040 47680 48276 50064 51840 52920 53640 56322 56448 57216 58408 60345 60480 62580 63504 64368 65709 66752 70560 71520 72576 73010 75096 79380 80460 83440 84483 84672 85824 87612 90720 93870 94080 95360 96552 100128 105840 107280 109515 112644 116816 120690 120960 125160 127008 128736 131418 133504 140805 141120 143040 146020 150192 158760 160920 166880 168966 169344 171648 175224 181440 187740 193104 197127 200256 211680 214560 219030 225288 233632 241380 250320 254016 257472 262836 281610 282240 286080 292040 300384 317520 321840 328545 333760 337932 350448 362880 375480 386208 394254 400512 422415 423360 429120 438060 450576 467264 482760 500640 508032 514944 525672 563220 584080 591381 600768 635040 643680 657090 667520 675864 700896 750960 772416 788508 844830 846720 858240 876120 901152 934528 965520 985635 1001280 1051344 1126440 1168160 1182762 1201536 1270080 1287360 1314180 1351728 1401792 1501920 1544832 1577016 1689660 1752240 1802304 1931040 1971270 2002560 2102688 2252880 2336320 2365524 2540160 2574720 2628360 2703456 2803584 2956905 3003840 3154032 3379320 3504480 3604608 3862080 3942540 4205376 4505760 4672640 4731048 5256720 5406912 5913810 6007680 6308064 6758640 7008960 7724160 7885080 8410752 9011520 9462096 10513440 10813824 11827620 12616128 13517280 14017920 15770160 18023040 18924192 21026880 23655240 25232256 27034560 31540320 37848384 42053760 47310480 54069120 63080640 75696768 94620960 126161280 189241920 378483840
- Sum of all divisors σ(n): 1582861500
- Sum of proper divisors (its aliquot sum) s(n): 1204377660
- 378483840 is an abundant number, because the sum of its proper divisors (1204377660) is greater than itself. Its abundance is 825893820
Bases of 378483840
- Binary: 101101000111100110100100000002
- Hexadecimal: 0x168F3480
- Base-36: 69C800
Squares and roots of 378483840
- 378483840 squared (3784838402) is 143250017141145600
- 378483840 cubed (3784838403) is 54217816567646608687104000
-
The
square root of 378483840 is 19454.6611381439 -
The
cube root of 378483840 is 723.3510459301
Scales and comparisons
How big is 378483840?- 378,483,840 seconds is equal to 12 years, 1 week, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 378,483,840 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 378483840 cubic inches would be around 60.3 feet tall.
Recreational maths with 378483840
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 378483840 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 378483840 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/378483840/
Chicago style:
Numbermatics. 2024. "Number 378483840 - Facts about the integer". https://numbermatics.com/n/378483840/
The information we have on file for 378483840 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 378483840, math, Factors of 378483840, curriculum, school, college, exams, university, Prime factorization of 378483840, STEM, science, technology, engineering, physics, economics, calculator, three hundred seventy-eight million, four hundred eighty-three thousand, eight hundred forty.