85344000
85,344,000 is an even composite number composed of five prime numbers multiplied together.
85344000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 85344000:
28 × 3 × 53 × 7 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 127)See below for interesting mathematical facts about the number 85344000 from the Numbermatics database.
Names of 85344000
- Cardinal: 85344000 can be written as Eighty-five million, three hundred forty-four thousand.
Scientific notation
- Scientific notation: 8.5344 × 107
Factors of 85344000
Divisors of 85344000
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 125 127 128 140 150 160 168 175 192 200 210 224 240 250 254 256 280 300 320 336 350 375 381 384 400 420 448 480 500 508 525 560 600 635 640 672 700 750 762 768 800 840 875 889 896 960 1000 1016 1050 1120 1200 1270 1280 1344 1400 1500 1524 1600 1680 1750 1778 1792 1905 1920 2000 2032 2100 2240 2400 2540 2625 2667 2688 2800 3000 3048 3175 3200 3360 3500 3556 3810 3840 4000 4064 4200 4445 4480 4800 5080 5250 5334 5376 5600 6000 6096 6350 6400 6720 7000 7112 7620 8000 8128 8400 8890 8960 9525 9600 10160 10500 10668 11200 12000 12192 12700 13335 13440 14000 14224 15240 15875 16000 16256 16800 17780 19050 19200 20320 21000 21336 22225 22400 24000 24384 25400 26670 26880 28000 28448 30480 31750 32000 32512 33600 35560 38100 40640 42000 42672 44450 44800 47625 48000 48768 50800 53340 56000 56896 60960 63500 66675 67200 71120 76200 81280 84000 85344 88900 95250 96000 97536 101600 106680 111125 112000 113792 121920 127000 133350 134400 142240 152400 162560 168000 170688 177800 190500 203200 213360 222250 224000 227584 243840 254000 266700 284480 304800 333375 336000 341376 355600 381000 406400 426720 444500 487680 508000 533400 568960 609600 666750 672000 682752 711200 762000 812800 853440 889000 1016000 1066800 1137920 1219200 1333500 1422400 1524000 1706880 1778000 2032000 2133600 2438400 2667000 2844800 3048000 3413760 3556000 4064000 4267200 5334000 5689600 6096000 7112000 8534400 10668000 12192000 14224000 17068800 21336000 28448000 42672000 85344000
- Sum of all divisors σ(n): 326516736
- Sum of proper divisors (its aliquot sum) s(n): 241172736
- 85344000 is an abundant number, because the sum of its proper divisors (241172736) is greater than itself. Its abundance is 155828736
Bases of 85344000
- Binary: 1010001011000111111000000002
- Hexadecimal: 0x5163F00
- Base-36: 1ET7UO
Squares and roots of 85344000
- 85344000 squared (853440002) is 7283598336000000
- 85344000 cubed (853440003) is 621611416387584000000000
-
The
square root of 85344000 is 9238.1816392621 -
The
cube root of 85344000 is 440.2753097951
Scales and comparisons
How big is 85344000?- 85,344,000 seconds is equal to 2 years, 37 weeks, 18 hours, 40 minutes.
-
To count from 1 to 85,344,000 would take you about four 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 85344000 cubic inches would be around 36.7 feet tall.
Recreational maths with 85344000
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 85344000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 85344000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/85344000/
Chicago style:
Numbermatics. 2024. "Number 85344000 - Facts about the integer". https://numbermatics.com/n/85344000/
The information we have on file for 85344000 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 85344000, math, Factors of 85344000, curriculum, school, college, exams, university, Prime factorization of 85344000, STEM, science, technology, engineering, physics, economics, calculator, eighty-five million, three hundred forty-four thousand.