3928320
3,928,320 is an even composite number composed of five prime numbers multiplied together.
3928320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 3928320:
28 × 32 × 5 × 11 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 31)See below for interesting mathematical facts about the number 3928320 from the Numbermatics database.
Names of 3928320
- Cardinal: 3928320 can be written as Three million, nine hundred twenty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 3.92832 × 106
Factors of 3928320
Divisors of 3928320
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 31 32 33 36 40 44 45 48 55 60 62 64 66 72 80 88 90 93 96 99 110 120 124 128 132 144 155 160 165 176 180 186 192 198 220 240 248 256 264 279 288 310 320 330 341 352 360 372 384 396 440 465 480 495 496 528 558 576 620 640 660 682 704 720 744 768 792 880 930 960 990 992 1023 1056 1116 1152 1240 1280 1320 1364 1395 1408 1440 1488 1584 1705 1760 1860 1920 1980 1984 2046 2112 2232 2304 2480 2640 2728 2790 2816 2880 2976 3069 3168 3410 3520 3720 3840 3960 3968 4092 4224 4464 4960 5115 5280 5456 5580 5760 5952 6138 6336 6820 7040 7440 7920 7936 8184 8448 8928 9920 10230 10560 10912 11160 11520 11904 12276 12672 13640 14080 14880 15345 15840 16368 17856 19840 20460 21120 21824 22320 23808 24552 25344 27280 29760 30690 31680 32736 35712 39680 40920 42240 43648 44640 49104 54560 59520 61380 63360 65472 71424 81840 87296 89280 98208 109120 119040 122760 126720 130944 163680 178560 196416 218240 245520 261888 327360 357120 392832 436480 491040 654720 785664 982080 1309440 1964160 3928320
- Sum of all divisors σ(n): 15305472
- Sum of proper divisors (its aliquot sum) s(n): 11377152
- 3928320 is an abundant number, because the sum of its proper divisors (11377152) is greater than itself. Its abundance is 7448832
Bases of 3928320
- Binary: 11101111110001000000002
- Hexadecimal: 0x3BF100
- Base-36: 2C740
Squares and roots of 3928320
- 3928320 squared (39283202) is 15431698022400
- 3928320 cubed (39283203) is 60620647975354368000
-
The
square root of 3928320 is 1981.9989909181 -
The
cube root of 3928320 is 157.7861766047
Scales and comparisons
How big is 3928320?- 3,928,320 seconds is equal to 6 weeks, 3 days, 11 hours, 12 minutes.
-
To count from 1 to 3,928,320 would take you about nine weeks!
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 3928320 cubic inches would be around 13.1 feet tall.
Recreational maths with 3928320
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 3928320 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 3928320 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/3928320/
Chicago style:
Numbermatics. 2024. "Number 3928320 - Facts about the integer". https://numbermatics.com/n/3928320/
The information we have on file for 3928320 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 3928320, math, Factors of 3928320, curriculum, school, college, exams, university, Prime factorization of 3928320, STEM, science, technology, engineering, physics, economics, calculator, three million, nine hundred twenty-eight thousand, three hundred twenty.