328800
328,800 is an even composite number composed of four prime numbers multiplied together.
328800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 328800:
25 × 3 × 52 × 137
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 137)See below for interesting mathematical facts about the number 328800 from the Numbermatics database.
Names of 328800
- Cardinal: 328800 can be written as Three hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 3.288 × 105
Factors of 328800
Divisors of 328800
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 137 150 160 200 240 274 300 400 411 480 548 600 685 800 822 1096 1200 1370 1644 2055 2192 2400 2740 3288 3425 4110 4384 5480 6576 6850 8220 10275 10960 13152 13700 16440 20550 21920 27400 32880 41100 54800 65760 82200 109600 164400 328800
- Sum of all divisors σ(n): 1078056
- Sum of proper divisors (its aliquot sum) s(n): 749256
- 328800 is an abundant number, because the sum of its proper divisors (749256) is greater than itself. Its abundance is 420456
Bases of 328800
- Binary: 10100000100011000002
- Hexadecimal: 0x50460
- Base-36: 71PC
Squares and roots of 328800
- 328800 squared (3288002) is 108109440000
- 328800 cubed (3288003) is 35546383872000000
-
The
square root of 328800 is 573.4108474733 -
The
cube root of 328800 is 69.0203678581
Scales and comparisons
How big is 328800?- 328,800 seconds is equal to 3 days, 19 hours, 20 minutes.
-
To count from 1 to 328,800 would take you about three days.
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 328800 cubic inches would be around 5.8 feet tall.
Recreational maths with 328800
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 328800 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 328800 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/328800/
Chicago style:
Numbermatics. 2024. "Number 328800 - Facts about the integer". https://numbermatics.com/n/328800/
The information we have on file for 328800 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 328800, math, Factors of 328800, curriculum, school, college, exams, university, Prime factorization of 328800, STEM, science, technology, engineering, physics, economics, calculator, three hundred twenty-eight thousand, eight hundred.