428768340
428,768,340 is an even composite number composed of seven prime numbers multiplied together.
428768340 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 428768340:
22 × 3 × 5 × 7 × 113 × 13 × 59
(2 × 2 × 3 × 5 × 7 × 11 × 11 × 11 × 13 × 59)See below for interesting mathematical facts about the number 428768340 from the Numbermatics database.
Names of 428768340
- Cardinal: 428768340 can be written as Four hundred twenty-eight million, seven hundred sixty-eight thousand, three hundred forty.
Scientific notation
- Scientific notation: 4.2876834 × 108
Factors of 428768340
Divisors of 428768340
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 10 11 12 13 14 15 20 21 22 26 28 30 33 35 39 42 44 52 55 59 60 65 66 70 77 78 84 91 105 110 118 121 130 132 140 143 154 156 165 177 182 195 210 220 231 236 242 260 273 286 295 308 330 354 363 364 385 390 413 420 429 455 462 484 546 572 590 605 649 660 708 715 726 767 770 780 826 847 858 885 910 924 1001 1092 1155 1180 1210 1239 1298 1331 1365 1430 1452 1534 1540 1573 1652 1694 1716 1770 1815 1820 1947 2002 2065 2145 2301 2310 2420 2478 2541 2596 2662 2730 2860 3003 3068 3146 3245 3388 3540 3630 3835 3894 3993 4004 4130 4235 4290 4543 4602 4620 4719 4956 5005 5082 5324 5369 5460 6006 6195 6292 6490 6655 7139 7260 7670 7788 7865 7986 8260 8437 8470 8580 9086 9204 9317 9438 9735 10010 10164 10738 11011 11505 12012 12390 12705 12980 13310 13629 14278 15015 15340 15730 15972 16107 16874 16940 17303 18172 18634 18876 19470 19965 20020 21417 21476 22022 22715 23010 23595 24780 25311 25410 26620 26845 27258 27951 28556 30030 31460 32214 33033 33748 34606 35695 37268 38940 39930 42185 42834 44044 45430 46020 46585 47190 49973 50622 50820 51909 53690 54516 55055 55902 59059 60060 64428 66066 68145 69212 71390 78529 79860 80535 84370 85668 86515 90860 92807 93170 94380 99946 101244 103818 107085 107380 110110 111804 118118 121121 126555 132132 136290 139755 142780 149919 157058 161070 165165 168740 173030 177177 185614 186340 199892 207636 214170 220220 235587 236236 242242 249865 253110 259545 272580 278421 279510 295295 299838 314116 322140 330330 346060 354354 363363 371228 392645 428340 464035 471174 484484 499730 506220 519090 549703 556842 559020 590590 599676 605605 649649 660660 708708 726726 749595 785290 885885 928070 942348 999460 1020877 1038180 1099406 1113684 1177935 1181180 1211210 1299298 1392105 1453452 1499190 1570580 1649109 1771770 1816815 1856140 1948947 2041754 2198812 2355870 2422420 2598596 2748515 2784210 2998380 3062631 3248245 3298218 3543540 3633630 3897894 4083508 4711740 5104385 5497030 5568420 6125262 6496490 6596436 7146139 7267260 7795788 8245545 9744735 10208770 10994060 12250524 12992980 14292278 15313155 16491090 19489470 20417540 21438417 28584556 30626310 32982180 35730695 38978940 42876834 61252620 71461390 85753668 107192085 142922780 214384170 428768340
- Sum of all divisors σ(n): 1652797440
- Sum of proper divisors (its aliquot sum) s(n): 1224029100
- 428768340 is an abundant number, because the sum of its proper divisors (1224029100) is greater than itself. Its abundance is 795260760
Bases of 428768340
- Binary: 110011000111001111100010101002
- Hexadecimal: 0x198E7C54
- Base-36: 739ZRO
Squares and roots of 428768340
- 428768340 squared (4287683402) is 183842289386355600
- 428768340 cubed (4287683403) is 78825753241987309261704000
-
The
square root of 428768340 is 20706.7220969425 -
The
cube root of 428768340 is 754.0628930129
Scales and comparisons
How big is 428768340?- 428,768,340 seconds is equal to 13 years, 32 weeks, 6 days, 14 hours, 19 minutes.
-
To count from 1 to 428,768,340 would take you about twenty 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 428768340 cubic inches would be around 62.8 feet tall.
Recreational maths with 428768340
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 428768340 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 428768340 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/428768340/
Chicago style:
Numbermatics. 2024. "Number 428768340 - Facts about the integer". https://numbermatics.com/n/428768340/
The information we have on file for 428768340 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 428768340, math, Factors of 428768340, curriculum, school, college, exams, university, Prime factorization of 428768340, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight million, seven hundred sixty-eight thousand, three hundred forty.