830006400
830,006,400 is an even composite number composed of five prime numbers multiplied together.
830006400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 830006400:
27 × 3 × 52 × 31 × 2789
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 31 × 2789)See below for interesting mathematical facts about the number 830006400 from the Numbermatics database.
Names of 830006400
- Cardinal: 830006400 can be written as Eight hundred thirty million, six thousand, four hundred.
Scientific notation
- Scientific notation: 8.300064 × 108
Factors of 830006400
Divisors of 830006400
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 75 80 93 96 100 120 124 128 150 155 160 186 192 200 240 248 300 310 320 372 384 400 465 480 496 600 620 640 744 775 800 930 960 992 1200 1240 1488 1550 1600 1860 1920 1984 2325 2400 2480 2789 2976 3100 3200 3720 3968 4650 4800 4960 5578 5952 6200 7440 8367 9300 9600 9920 11156 11904 12400 13945 14880 16734 18600 19840 22312 24800 27890 29760 33468 37200 41835 44624 49600 55780 59520 66936 69725 74400 83670 86459 89248 99200 111560 133872 139450 148800 167340 172918 178496 209175 223120 259377 267744 278900 297600 334680 345836 356992 418350 432295 446240 518754 535488 557800 669360 691672 836700 864590 892480 1037508 1070976 1115600 1296885 1338720 1383344 1673400 1729180 1784960 2075016 2161475 2231200 2593770 2677440 2766688 3346800 3458360 4150032 4322950 4462400 5187540 5354880 5533376 6484425 6693600 6916720 8300064 8645900 8924800 10375080 11066752 12968850 13387200 13833440 16600128 17291800 20750160 25937700 26774400 27666880 33200256 34583600 41500320 51875400 55333760 69167200 83000640 103750800 138334400 166001280 207501600 276668800 415003200 830006400
- Sum of all divisors σ(n): 2823033600
- Sum of proper divisors (its aliquot sum) s(n): 1993027200
- 830006400 is an abundant number, because the sum of its proper divisors (1993027200) is greater than itself. Its abundance is 1163020800
Bases of 830006400
- Binary: 1100010111100011100100100000002
- Hexadecimal: 0x3178E480
- Base-36: DQ5X1C
Squares and roots of 830006400
- 830006400 squared (8300064002) is 688910624040960000
- 830006400 cubed (8300064003) is 571800226981990662144000000
-
The
square root of 830006400 is 28809.8316551833 -
The
cube root of 830006400 is 939.7820529869
Scales and comparisons
How big is 830006400?- 830,006,400 seconds is equal to 26 years, 20 weeks, 2 days, 13 hours, 20 minutes.
-
To count from 1 to 830,006,400 would take you about thirty-nine 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 830006400 cubic inches would be around 78.3 feet tall.
Recreational maths with 830006400
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 830006400 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 830006400 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/830006400/
Chicago style:
Numbermatics. 2024. "Number 830006400 - Facts about the integer". https://numbermatics.com/n/830006400/
The information we have on file for 830006400 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 830006400, math, Factors of 830006400, curriculum, school, college, exams, university, Prime factorization of 830006400, STEM, science, technology, engineering, physics, economics, calculator, eight hundred thirty million, six thousand, four hundred.