828338940
828,338,940 is an even composite number composed of seven prime numbers multiplied together.
828338940 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 828338940:
22 × 33 × 5 × 11 × 13 × 17 × 631
(2 × 2 × 3 × 3 × 3 × 5 × 11 × 13 × 17 × 631)See below for interesting mathematical facts about the number 828338940 from the Numbermatics database.
Names of 828338940
- Cardinal: 828338940 can be written as Eight hundred twenty-eight million, three hundred thirty-eight thousand, nine hundred forty.
Scientific notation
- Scientific notation: 8.2833894 × 108
Factors of 828338940
Divisors of 828338940
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 13 15 17 18 20 22 26 27 30 33 34 36 39 44 45 51 52 54 55 60 65 66 68 78 85 90 99 102 108 110 117 130 132 135 143 153 156 165 170 180 187 195 198 204 220 221 234 255 260 270 286 297 306 330 340 351 374 390 396 429 442 459 468 495 510 540 561 572 585 594 612 631 660 663 702 715 748 765 780 858 884 918 935 990 1020 1105 1122 1170 1188 1262 1287 1326 1404 1430 1485 1530 1683 1716 1755 1836 1870 1893 1980 1989 2145 2210 2244 2295 2340 2431 2524 2574 2652 2805 2860 2970 3060 3155 3315 3366 3510 3740 3786 3861 3978 4290 4420 4590 4862 5049 5148 5610 5679 5940 5967 6310 6435 6630 6732 6941 7020 7293 7572 7722 7956 8203 8415 8580 9180 9465 9724 9945 10098 10727 11220 11358 11934 12155 12620 12870 13260 13882 14586 15444 16406 16830 17037 18930 19305 19890 20196 20823 21454 21879 22716 23868 24310 24609 25245 25740 27764 28395 29172 29835 32181 32812 33660 34074 34705 36465 37860 38610 39780 41015 41646 42908 43758 48620 49218 50490 53635 56790 59670 62469 64362 65637 68148 69410 72930 73827 77220 82030 83292 85185 87516 90233 96543 98436 100980 104115 107270 109395 113580 117997 119340 123045 124938 128724 131274 138820 139451 145860 147654 160905 164060 170370 180466 187407 193086 208230 214540 218790 221481 235994 246090 249876 262548 270699 278902 289629 295308 312345 321810 328185 340740 353991 360932 369135 374814 386172 416460 418353 437580 442962 451165 471988 482715 492180 541398 557804 579258 589985 624690 643620 656370 697255 707982 738270 749628 812097 836706 885924 902330 937035 965430 1061973 1082796 1107405 1158516 1179970 1249380 1255059 1312740 1353495 1394510 1415964 1448145 1476540 1533961 1624194 1673412 1769955 1804660 1874070 1930860 2091765 2123946 2214810 2359940 2436291 2510118 2706990 2789020 2896290 3067922 3185919 3248388 3539910 3748140 3765177 4060485 4183530 4247892 4429620 4601883 4872582 5020236 5309865 5413980 5792580 6135844 6275295 6371838 7079820 7530354 7669805 8120970 8367060 9203766 9745164 10619730 12181455 12550590 12743676 13805649 15060708 15339610 15929595 16241940 18407532 18825885 21239460 23009415 24362910 25101180 27611298 30679220 31859190 37651770 41416947 46018830 48725820 55222596 63718380 69028245 75303540 82833894 92037660 138056490 165667788 207084735 276112980 414169470 828338940
- Sum of all divisors σ(n): 3210762240
- Sum of proper divisors (its aliquot sum) s(n): 2382423300
- 828338940 is an abundant number, because the sum of its proper divisors (2382423300) is greater than itself. Its abundance is 1554084360
Bases of 828338940
- Binary: 1100010101111101110010111111002
- Hexadecimal: 0x315F72FC
- Base-36: DP66F0
Squares and roots of 828338940
- 828338940 squared (8283389402) is 686145399520323600
- 828338940 cubed (8283389403) is 568360952924541359280984000
-
The
square root of 828338940 is 28780.8780269123 -
The
cube root of 828338940 is 939.1522989911
Scales and comparisons
How big is 828338940?- 828,338,940 seconds is equal to 26 years, 17 weeks, 4 days, 6 hours, 9 minutes.
-
To count from 1 to 828,338,940 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 828338940 cubic inches would be around 78.3 feet tall.
Recreational maths with 828338940
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 828338940 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 828338940 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/828338940/
Chicago style:
Numbermatics. 2024. "Number 828338940 - Facts about the integer". https://numbermatics.com/n/828338940/
The information we have on file for 828338940 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 828338940, math, Factors of 828338940, curriculum, school, college, exams, university, Prime factorization of 828338940, STEM, science, technology, engineering, physics, economics, calculator, eight hundred twenty-eight million, three hundred thirty-eight thousand, nine hundred forty.