381629248
381,629,248 is an even composite number composed of six prime numbers multiplied together.
381629248 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 381629248:
26 × 72 × 11 × 13 × 23 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 13 × 23 × 37)See below for interesting mathematical facts about the number 381629248 from the Numbermatics database.
Names of 381629248
- Cardinal: 381629248 can be written as Three hundred eighty-one million, six hundred twenty-nine thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 3.81629248 × 108
Factors of 381629248
Divisors of 381629248
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 23 26 28 32 37 44 46 49 52 56 64 74 77 88 91 92 98 104 112 143 148 154 161 176 182 184 196 208 224 253 259 286 296 299 308 322 352 364 368 392 407 416 448 481 506 518 539 572 592 598 616 637 644 704 728 736 784 814 832 851 962 1001 1012 1036 1078 1127 1144 1184 1196 1232 1274 1288 1456 1472 1568 1628 1702 1771 1813 1924 2002 2024 2072 2093 2156 2254 2288 2368 2392 2464 2548 2576 2849 2912 3136 3256 3289 3367 3404 3542 3626 3848 4004 4048 4144 4186 4312 4508 4576 4784 4928 5096 5152 5291 5698 5824 5957 6512 6578 6734 6808 7007 7084 7252 7696 8008 8096 8288 8372 8624 9016 9152 9361 9568 10192 10304 10582 11063 11396 11914 12397 13024 13156 13468 13616 14014 14168 14504 14651 15392 16016 16192 16576 16744 17248 18032 18722 19136 19943 20384 21164 22126 22792 23023 23569 23828 24794 26048 26312 26936 27232 28028 28336 29008 29302 30784 32032 33488 34496 36064 37037 37444 39886 40768 41699 42328 44252 45584 46046 47138 47656 49588 52624 53872 54464 56056 56672 58016 58604 64064 65527 66976 72128 74074 74888 77441 79772 83398 84656 88504 91168 92092 94276 95312 99176 105248 107744 112112 113344 116032 117208 121693 131054 133952 148148 149776 154882 159544 161161 166796 169312 177008 182336 184184 188552 190624 198352 210496 215488 224224 234416 243386 259259 262108 296296 299552 309764 319088 322322 333592 338624 354016 368368 377104 381248 396704 448448 458689 468832 486772 518518 524216 542087 592592 599104 619528 638176 644644 667184 708032 736736 754208 793408 851851 917378 937664 973544 1037036 1048432 1084174 1185184 1239056 1276352 1289288 1334368 1473472 1508416 1703702 1834756 1947088 2074072 2096864 2168348 2370368 2478112 2578576 2668736 3407404 3669512 3894176 4148144 4193728 4336696 4956224 5157152 5962957 6814808 7339024 7788352 8296288 8673392 10314304 11925914 13629616 14678048 16592576 17346784 23851828 27259232 29356096 34693568 47703656 54518464 95407312 190814624 381629248
- Sum of all divisors σ(n): 1109130624
- Sum of proper divisors (its aliquot sum) s(n): 727501376
- 381629248 is an abundant number, because the sum of its proper divisors (727501376) is greater than itself. Its abundance is 345872128
Bases of 381629248
- Binary: 101101011111100110011010000002
- Hexadecimal: 0x16BF3340
- Base-36: 6B7N0G
Squares and roots of 381629248
- 381629248 squared (3816292482) is 145640882929045504
- 381629248 cubed (3816292483) is 55580820630267673049300992
-
The
square root of 381629248 is 19535.3333219579 -
The
cube root of 381629248 is 725.3493349387
Scales and comparisons
How big is 381629248?- 381,629,248 seconds is equal to 12 years, 7 weeks, 7 minutes, 28 seconds.
-
To count from 1 to 381,629,248 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 381629248 cubic inches would be around 60.4 feet tall.
Recreational maths with 381629248
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 381629248 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
APA style:
Numbermatics. (2024). Number 381629248 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/381629248/
Chicago style:
Numbermatics. 2024. "Number 381629248 - Facts about the integer". https://numbermatics.com/n/381629248/
The information we have on file for 381629248 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 381629248, math, Factors of 381629248, curriculum, school, college, exams, university, Prime factorization of 381629248, STEM, science, technology, engineering, physics, economics, calculator, three hundred eighty-one million, six hundred twenty-nine thousand, two hundred forty-eight.