380228640
380,228,640 is an even composite number composed of seven prime numbers multiplied together.
380228640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 380228640:
25 × 3 × 5 × 11 × 23 × 31 × 101
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 23 × 31 × 101)See below for interesting mathematical facts about the number 380228640 from the Numbermatics database.
Names of 380228640
- Cardinal: 380228640 can be written as Three hundred eighty million, two hundred twenty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.8022864 × 108
Factors of 380228640
Divisors of 380228640
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 31 32 33 40 44 46 48 55 60 62 66 69 80 88 92 93 96 101 110 115 120 124 132 138 155 160 165 176 184 186 202 220 230 240 248 253 264 276 303 310 330 341 345 352 368 372 404 440 460 465 480 496 505 506 528 552 606 620 660 682 690 713 736 744 759 808 880 920 930 992 1010 1012 1023 1056 1104 1111 1212 1240 1265 1320 1364 1380 1426 1488 1515 1518 1616 1705 1760 1840 1860 2020 2024 2046 2139 2208 2222 2323 2424 2480 2530 2640 2728 2760 2852 2976 3030 3036 3131 3232 3333 3410 3565 3680 3720 3795 4040 4048 4092 4278 4444 4646 4848 4960 5060 5115 5280 5456 5520 5555 5704 6060 6072 6262 6666 6820 6969 7130 7440 7590 7843 8080 8096 8184 8556 8888 9292 9393 9696 10120 10230 10695 10912 11040 11110 11408 11615 12120 12144 12524 13332 13640 13938 14260 14880 15180 15655 15686 16160 16368 16665 17112 17776 18584 18786 20240 20460 21390 22220 22816 23230 23529 24240 24288 25048 25553 26664 27280 27876 28520 30360 31310 31372 32736 33330 34224 34441 34845 35552 37168 37572 39215 40480 40920 42780 44440 46460 46965 47058 48480 50096 51106 53328 54560 55752 57040 60720 62620 62744 66660 68448 68882 69690 72013 74336 75144 76659 78430 81840 85560 88880 92920 93930 94116 100192 102212 103323 106656 111504 114080 117645 121440 125240 125488 127765 133320 137764 139380 144026 150288 153318 156860 163680 171120 172205 177760 185840 187860 188232 204424 206646 216039 223008 235290 250480 250976 255530 266640 275528 278760 288052 300576 306636 313720 342240 344410 360065 371680 375720 376464 383295 408848 413292 432078 470580 500960 511060 516615 533280 551056 557520 576104 613272 627440 688820 720130 751440 752928 766590 792143 817696 826584 864156 941160 1022120 1033230 1080195 1102112 1115040 1152208 1226544 1254880 1377640 1440260 1502880 1533180 1584286 1653168 1728312 1882320 2044240 2066460 2160390 2304416 2376429 2453088 2755280 2880520 3066360 3168572 3306336 3456624 3764640 3960715 4088480 4132920 4320780 4752858 5510560 5761040 6132720 6337144 6913248 7921430 8265840 8641560 9505716 11522080 11882145 12265440 12674288 15842860 16531680 17283120 19011432 23764290 25348576 31685720 34566240 38022864 47528580 63371440 76045728 95057160 126742880 190114320 380228640
- Sum of all divisors σ(n): 1421328384
- Sum of proper divisors (its aliquot sum) s(n): 1041099744
- 380228640 is an abundant number, because the sum of its proper divisors (1041099744) is greater than itself. Its abundance is 660871104
Bases of 380228640
- Binary: 101101010100111010100001000002
- Hexadecimal: 0x16A9D420
- Base-36: 6ADMAO
Squares and roots of 380228640
- 380228640 squared (3802286402) is 144573818676249600
- 380228640 cubed (3802286403) is 54971106454876985708544000
-
The
square root of 380228640 is 19499.4523000005 -
The
cube root of 380228640 is 724.4608849805
Scales and comparisons
How big is 380228640?- 380,228,640 seconds is equal to 12 years, 4 weeks, 4 days, 19 hours, 4 minutes.
-
To count from 1 to 380,228,640 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 380228640 cubic inches would be around 60.4 feet tall.
Recreational maths with 380228640
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 380228640 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 380228640 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/380228640/
Chicago style:
Numbermatics. 2024. "Number 380228640 - Facts about the integer". https://numbermatics.com/n/380228640/
The information we have on file for 380228640 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 380228640, math, Factors of 380228640, curriculum, school, college, exams, university, Prime factorization of 380228640, STEM, science, technology, engineering, physics, economics, calculator, three hundred eighty million, two hundred twenty-eight thousand, six hundred forty.