385180320
385,180,320 is an even composite number composed of seven prime numbers multiplied together.
385180320 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 385180320:
25 × 3 × 5 × 7 × 29 × 59 × 67
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 29 × 59 × 67)See below for interesting mathematical facts about the number 385180320 from the Numbermatics database.
Names of 385180320
- Cardinal: 385180320 can be written as Three hundred eighty-five million, one hundred eighty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 3.8518032 × 108
Factors of 385180320
Divisors of 385180320
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 32 35 40 42 48 56 58 59 60 67 70 80 84 87 96 105 112 116 118 120 134 140 145 160 168 174 177 201 203 210 224 232 236 240 268 280 290 295 335 336 348 354 402 406 413 420 435 464 469 472 480 536 560 580 590 609 670 672 696 708 804 812 826 840 870 885 928 938 944 1005 1015 1072 1120 1160 1180 1218 1239 1340 1392 1407 1416 1608 1624 1652 1680 1711 1740 1770 1876 1888 1943 2010 2030 2065 2144 2320 2345 2360 2436 2478 2680 2784 2814 2832 3045 3216 3248 3304 3360 3422 3480 3540 3752 3886 3953 4020 4060 4130 4640 4690 4720 4872 4956 5133 5360 5628 5664 5829 6090 6195 6432 6496 6608 6844 6960 7035 7080 7504 7772 7906 8040 8120 8260 8555 9380 9440 9715 9744 9912 10266 10720 11256 11658 11859 11977 12180 12390 13216 13601 13688 13920 14070 14160 15008 15544 15812 16080 16240 16520 17110 18760 19430 19488 19765 19824 20532 22512 23316 23718 23954 24360 24780 25665 27202 27376 27671 28140 28320 29145 31088 31624 32160 32480 33040 34220 35931 37520 38860 39530 39648 40803 41064 45024 46632 47436 47908 48720 49560 51330 54404 54752 55342 56280 58290 59295 59885 62176 63248 66080 68005 68440 71862 75040 77720 79060 81606 82128 83013 93264 94872 95816 97440 99120 102660 108808 110684 112560 114637 116580 118590 119770 126496 136010 136880 138355 143724 155440 158120 163212 164256 166026 179655 186528 189744 191632 198240 204015 205320 217616 221368 225120 229274 233160 237180 239540 272020 273760 276710 287448 310880 316240 326424 332052 343911 359310 379488 383264 408030 410640 415065 435232 442736 458548 466320 474360 479080 544040 553420 573185 574896 632480 652848 664104 687822 718620 802459 816060 821280 830130 885472 917096 932640 948720 958160 1088080 1106840 1146370 1149792 1305696 1328208 1375644 1437240 1604918 1632120 1660260 1719555 1834192 1897440 1916320 2176160 2213680 2292740 2407377 2656416 2751288 2874480 3209836 3264240 3320520 3439110 3668384 4012295 4427360 4585480 4814754 5502576 5748960 6419672 6528480 6641040 6878220 8024590 9170960 9629508 11005152 12036885 12839344 13282080 13756440 16049180 18341920 19259016 24073770 25678688 27512880 32098360 38518032 48147540 55025760 64196720 77036064 96295080 128393440 192590160 385180320
- Sum of all divisors σ(n): 1480550400
- Sum of proper divisors (its aliquot sum) s(n): 1095370080
- 385180320 is an abundant number, because the sum of its proper divisors (1095370080) is greater than itself. Its abundance is 710189760
Bases of 385180320
- Binary: 101101111010101100010101000002
- Hexadecimal: 0x16F562A0
- Base-36: 6DBR1C
Squares and roots of 385180320
- 385180320 squared (3851803202) is 148363878915302400
- 385180320 cubed (3851803203) is 57146846357037431328768000
-
The
square root of 385180320 is 19626.0113115223 -
The
cube root of 385180320 is 727.5921919985
Scales and comparisons
How big is 385180320?- 385,180,320 seconds is equal to 12 years, 12 weeks, 6 days, 2 hours, 32 minutes.
-
To count from 1 to 385,180,320 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 385180320 cubic inches would be around 60.6 feet tall.
Recreational maths with 385180320
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 385180320 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
APA style:
Numbermatics. (2024). Number 385180320 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/385180320/
Chicago style:
Numbermatics. 2024. "Number 385180320 - Facts about the integer". https://numbermatics.com/n/385180320/
The information we have on file for 385180320 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 385180320, math, Factors of 385180320, curriculum, school, college, exams, university, Prime factorization of 385180320, STEM, science, technology, engineering, physics, economics, calculator, three hundred eighty-five million, one hundred eighty thousand, three hundred twenty.