379342080
379,342,080 is an even composite number composed of six prime numbers multiplied together.
379342080 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 379342080:
28 × 32 × 5 × 13 × 17 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 17 × 149)See below for interesting mathematical facts about the number 379342080 from the Numbermatics database.
Names of 379342080
- Cardinal: 379342080 can be written as Three hundred seventy-nine million, three hundred forty-two thousand and eighty.
Scientific notation
- Scientific notation: 3.7934208 × 108
Factors of 379342080
Divisors of 379342080
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 30 32 34 36 39 40 45 48 51 52 60 64 65 68 72 78 80 85 90 96 102 104 117 120 128 130 136 144 149 153 156 160 170 180 192 195 204 208 221 234 240 255 256 260 272 288 298 306 312 320 340 360 384 390 408 416 442 447 468 480 510 520 544 576 585 596 612 624 640 663 680 720 745 765 768 780 816 832 884 894 936 960 1020 1040 1088 1105 1152 1170 1192 1224 1248 1280 1326 1341 1360 1440 1490 1530 1560 1632 1664 1768 1788 1872 1920 1937 1989 2040 2080 2176 2210 2235 2304 2340 2384 2448 2496 2533 2652 2682 2720 2880 2980 3060 3120 3264 3315 3328 3536 3576 3744 3840 3874 3978 4080 4160 4352 4420 4470 4680 4768 4896 4992 5066 5304 5364 5440 5760 5811 5960 6120 6240 6528 6630 6705 7072 7152 7488 7599 7748 7956 8160 8320 8840 8940 9360 9536 9685 9792 9945 9984 10132 10608 10728 10880 11520 11622 11920 12240 12480 12665 13056 13260 13410 14144 14304 14976 15198 15496 15912 16320 16640 17433 17680 17880 18720 19072 19370 19584 19890 20264 21216 21456 21760 22797 23244 23840 24480 24960 25330 26520 26820 28288 28608 29055 29952 30396 30992 31824 32640 32929 34866 35360 35760 37440 37995 38144 38740 39168 39780 40528 42432 42912 45594 46488 47680 48960 49920 50660 53040 53640 56576 57216 58110 60792 61984 63648 65280 65858 69732 70720 71520 74880 75990 77480 79560 81056 84864 85824 87165 91188 92976 95360 97920 98787 101320 106080 107280 113985 114432 116220 121584 123968 127296 131716 139464 141440 143040 149760 151980 154960 159120 162112 164645 169728 171648 174330 182376 185952 190720 195840 197574 202640 212160 214560 227970 232440 243168 247936 254592 263432 278928 282880 286080 296361 303960 309920 318240 324224 329290 343296 348660 364752 371904 395148 405280 424320 429120 455940 464880 486336 493935 495872 509184 526864 557856 572160 592722 607920 619840 636480 648448 658580 697320 729504 743808 790296 810560 848640 858240 911880 929760 972672 987870 1053728 1115712 1185444 1215840 1239680 1272960 1317160 1394640 1459008 1481805 1487616 1580592 1621120 1716480 1823760 1859520 1945344 1975740 2107456 2231424 2370888 2431680 2479360 2545920 2634320 2789280 2918016 2963610 3161184 3242240 3647520 3719040 3951480 4214912 4462848 4741776 4863360 5268640 5578560 5836032 5927220 6322368 7295040 7438080 7902960 8429824 9483552 9726720 10537280 11157120 11854440 12644736 14590080 15805920 18967104 21074560 22314240 23708880 25289472 29180160 31611840 37934208 42149120 47417760 63223680 75868416 94835520 126447360 189671040 379342080
- Sum of all divisors σ(n): 1506632400
- Sum of proper divisors (its aliquot sum) s(n): 1127290320
- 379342080 is an abundant number, because the sum of its proper divisors (1127290320) is greater than itself. Its abundance is 747948240
Bases of 379342080
- Binary: 101101001110001001101000000002
- Hexadecimal: 0x169C4D00
- Base-36: 69UM80
Squares and roots of 379342080
- 379342080 squared (3793420802) is 143900413658726400
- 379342080 cubed (3793420803) is 54587482230161682726912000
-
The
square root of 379342080 is 19476.7060870161 -
The
cube root of 379342080 is 723.8973837857
Scales and comparisons
How big is 379342080?- 379,342,080 seconds is equal to 12 years, 3 weeks, 1 day, 12 hours, 48 minutes.
-
To count from 1 to 379,342,080 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 379342080 cubic inches would be around 60.3 feet tall.
Recreational maths with 379342080
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 379342080 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
APA style:
Numbermatics. (2024). Number 379342080 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/379342080/
Chicago style:
Numbermatics. 2024. "Number 379342080 - Facts about the integer". https://numbermatics.com/n/379342080/
The information we have on file for 379342080 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 379342080, math, Factors of 379342080, curriculum, school, college, exams, university, Prime factorization of 379342080, STEM, science, technology, engineering, physics, economics, calculator, three hundred seventy-nine million, three hundred forty-two thousand and eighty.