385249920
385,249,920 is an even composite number composed of seven prime numbers multiplied together.
385249920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 385249920:
27 × 3 × 5 × 11 × 17 × 29 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 17 × 29 × 37)See below for interesting mathematical facts about the number 385249920 from the Numbermatics database.
Names of 385249920
- Cardinal: 385249920 can be written as Three hundred eighty-five million, two hundred forty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.8524992 × 108
Factors of 385249920
Divisors of 385249920
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 29 30 32 33 34 37 40 44 48 51 55 58 60 64 66 68 74 80 85 87 88 96 102 110 111 116 120 128 132 136 145 148 160 165 170 174 176 185 187 192 204 220 222 232 240 255 264 272 290 296 319 320 330 340 348 352 370 374 384 407 408 435 440 444 464 480 493 510 528 544 555 561 580 592 629 638 640 660 680 696 704 740 748 814 816 870 880 888 928 935 957 960 986 1020 1056 1073 1088 1110 1122 1160 1184 1221 1258 1276 1320 1360 1392 1408 1479 1480 1496 1595 1628 1632 1740 1760 1776 1856 1870 1887 1914 1920 1972 2035 2040 2112 2146 2176 2220 2244 2320 2368 2442 2465 2516 2552 2640 2720 2784 2805 2958 2960 2992 3145 3190 3219 3256 3264 3480 3520 3552 3712 3740 3774 3828 3944 4070 4080 4224 4292 4440 4488 4640 4736 4785 4884 4930 5032 5104 5280 5365 5423 5440 5568 5610 5916 5920 5984 6105 6290 6380 6438 6512 6528 6919 6960 7040 7104 7395 7480 7548 7656 7888 8140 8160 8584 8880 8976 9280 9435 9570 9768 9860 10064 10208 10560 10730 10846 10880 11136 11220 11803 11832 11840 11968 12210 12580 12760 12876 13024 13838 13920 14208 14790 14960 15096 15312 15776 16095 16269 16280 16320 17168 17760 17952 18241 18560 18870 19140 19536 19720 20128 20416 20757 21120 21460 21692 22440 23606 23664 23680 23936 24420 25160 25520 25752 26048 27115 27676 27840 29580 29920 30192 30624 31552 32190 32538 32560 32640 34336 34595 35409 35520 35904 36482 37740 38280 39072 39440 40256 40832 41514 42920 43384 44880 47212 47328 48840 50320 51040 51504 52096 54230 54723 55352 55680 59015 59160 59840 60384 61248 63104 64380 65076 65120 68672 69190 70818 71040 71808 72964 75480 76560 78144 78880 80512 81345 83028 85840 86768 89760 91205 94424 94656 97680 100640 102080 103008 103785 108460 109446 110704 118030 118320 119680 120768 122496 128760 130152 130240 137344 138380 141636 145928 150960 153120 156288 157760 162690 166056 171680 173536 177045 179520 182410 188848 189312 195360 200651 201280 204160 206016 207570 216920 218892 221408 236060 236640 241536 257520 260304 260480 273615 276760 283272 291856 301920 306240 315520 325380 332112 343360 347072 354090 359040 364820 377696 390720 401302 402560 412032 415140 433840 437784 442816 472120 473280 515040 520608 547230 553520 566544 583712 601953 603840 612480 650760 664224 686720 694144 708180 729640 755392 781440 802604 830280 867680 875568 885632 944240 946560 1003255 1030080 1041216 1094460 1107040 1133088 1167424 1203906 1207680 1301520 1328448 1416360 1459280 1510784 1605208 1660560 1735360 1751136 1888480 2006510 2060160 2082432 2188920 2214080 2266176 2334848 2407812 2603040 2656896 2832720 2918560 3009765 3210416 3321120 3470720 3502272 3776960 4013020 4377840 4428160 4532352 4815624 5206080 5665440 5837120 6019530 6420832 6642240 7004544 7553920 8026040 8755680 9631248 10412160 11330880 11674240 12039060 12841664 13284480 16052080 17511360 19262496 22661760 24078120 25683328 32104160 35022720 38524992 48156240 64208320 77049984 96312480 128416640 192624960 385249920
- Sum of all divisors σ(n): 1506988800
- Sum of proper divisors (its aliquot sum) s(n): 1121738880
- 385249920 is an abundant number, because the sum of its proper divisors (1121738880) is greater than itself. Its abundance is 736488960
Bases of 385249920
- Binary: 101101111011001110010100000002
- Hexadecimal: 0x16F67280
- Base-36: 6DD8QO
Squares and roots of 385249920
- 385249920 squared (3852499202) is 148417500860006400
- 385249920 cubed (3852499203) is 57177830332917396799488000
-
The
square root of 385249920 is 19627.7843884633 -
The
cube root of 385249920 is 727.6360133503
Scales and comparisons
How big is 385249920?- 385,249,920 seconds is equal to 12 years, 12 weeks, 6 days, 21 hours, 52 minutes.
-
To count from 1 to 385,249,920 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 385249920 cubic inches would be around 60.6 feet tall.
Recreational maths with 385249920
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 385249920 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 385249920 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/385249920/
Chicago style:
Numbermatics. 2024. "Number 385249920 - Facts about the integer". https://numbermatics.com/n/385249920/
The information we have on file for 385249920 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 385249920, math, Factors of 385249920, curriculum, school, college, exams, university, Prime factorization of 385249920, STEM, science, technology, engineering, physics, economics, calculator, three hundred eighty-five million, two hundred forty-nine thousand, nine hundred twenty.