828345000
828,345,000 is an even composite number composed of five prime numbers multiplied together.
828345000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 828345000:
23 × 3 × 54 × 74 × 23
(2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 23)See below for interesting mathematical facts about the number 828345000 from the Numbermatics database.
Names of 828345000
- Cardinal: 828345000 can be written as Eight hundred twenty-eight million, three hundred forty-five thousand.
Scientific notation
- Scientific notation: 8.28345 × 108
Factors of 828345000
Divisors of 828345000
- Number of divisors d(n): 400
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 25 28 30 35 40 42 46 49 50 56 60 69 70 75 84 92 98 100 105 115 120 125 138 140 147 150 161 168 175 184 196 200 210 230 245 250 276 280 294 300 322 343 345 350 375 392 420 460 483 490 500 525 552 575 588 600 625 644 686 690 700 735 750 805 840 875 920 966 980 1000 1029 1050 1127 1150 1176 1225 1250 1288 1372 1380 1400 1470 1500 1610 1715 1725 1750 1875 1932 1960 2058 2100 2254 2300 2401 2415 2450 2500 2625 2744 2760 2875 2940 3000 3220 3381 3430 3450 3500 3675 3750 3864 4025 4116 4200 4375 4508 4600 4802 4830 4900 5000 5145 5250 5635 5750 5880 6125 6440 6762 6860 6900 7000 7203 7350 7500 7889 8050 8232 8575 8625 8750 9016 9604 9660 9800 10290 10500 11270 11500 12005 12075 12250 13125 13524 13720 13800 14375 14406 14700 15000 15778 16100 16905 17150 17250 17500 18375 19208 19320 20125 20580 21000 22540 23000 23667 24010 24150 24500 25725 26250 27048 28175 28750 28812 29400 30625 31556 32200 33810 34300 34500 35000 36015 36750 39445 40250 41160 42875 43125 45080 47334 48020 48300 49000 51450 52500 55223 56350 57500 57624 60025 60375 61250 63112 67620 68600 69000 72030 73500 78890 80500 84525 85750 86250 91875 94668 96040 96600 100625 102900 105000 110446 112700 115000 118335 120050 120750 122500 128625 135240 140875 144060 147000 157780 161000 165669 169050 171500 172500 180075 183750 189336 197225 201250 205800 214375 220892 225400 236670 240100 241500 245000 257250 276115 281750 288120 300125 301875 315560 331338 338100 343000 345000 360150 367500 394450 402500 422625 428750 441784 473340 480200 483000 514500 552230 563500 591675 600250 603750 643125 662676 676200 704375 720300 735000 788900 805000 828345 845250 857500 900375 946680 986125 1029000 1104460 1127000 1183350 1200500 1207500 1286250 1325352 1380575 1408750 1440600 1500625 1577800 1656690 1690500 1715000 1800750 1972250 2113125 2208920 2366700 2401000 2415000 2572500 2761150 2817500 2958375 3001250 3313380 3381000 3601500 3944500 4141725 4226250 4501875 4733400 4930625 5145000 5522300 5635000 5916750 6002500 6626760 6902875 7203000 7889000 8283450 8452500 9003750 9861250 11044600 11833500 12005000 13805750 14791875 16566900 16905000 18007500 19722500 20708625 23667000 27611500 29583750 33133800 34514375 36015000 39445000 41417250 55223000 59167500 69028750 82834500 103543125 118335000 138057500 165669000 207086250 276115000 414172500 828345000
- Sum of all divisors σ(n): 3150116640
- Sum of proper divisors (its aliquot sum) s(n): 2321771640
- 828345000 is an abundant number, because the sum of its proper divisors (2321771640) is greater than itself. Its abundance is 1493426640
Bases of 828345000
- Binary: 1100010101111110001010101010002
- Hexadecimal: 0x315F8AA8
- Base-36: DP6B3C
Squares and roots of 828345000
- 828345000 squared (8283450002) is 686155439025000000
- 828345000 cubed (8283450003) is 568373427139163625000000000
-
The
square root of 828345000 is 28780.9833049533 -
The
cube root of 828345000 is 939.1545892167
Scales and comparisons
How big is 828345000?- 828,345,000 seconds is equal to 26 years, 17 weeks, 4 days, 7 hours, 50 minutes.
-
To count from 1 to 828,345,000 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 828345000 cubic inches would be around 78.3 feet tall.
Recreational maths with 828345000
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 828345000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 828345000 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/828345000/
Chicago style:
Numbermatics. 2024. "Number 828345000 - Facts about the integer". https://numbermatics.com/n/828345000/
The information we have on file for 828345000 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 828345000, math, Factors of 828345000, curriculum, school, college, exams, university, Prime factorization of 828345000, STEM, science, technology, engineering, physics, economics, calculator, eight hundred twenty-eight million, three hundred forty-five thousand.