428338800
428,338,800 is an even composite number composed of five prime numbers multiplied together.
428338800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 428338800:
24 × 33 × 52 × 17 × 2333
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 2333)See below for interesting mathematical facts about the number 428338800 from the Numbermatics database.
Names of 428338800
- Cardinal: 428338800 can be written as Four hundred twenty-eight million, three hundred thirty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.283388 × 108
Factors of 428338800
Divisors of 428338800
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 34 36 40 45 48 50 51 54 60 68 72 75 80 85 90 100 102 108 120 135 136 144 150 153 170 180 200 204 216 225 240 255 270 272 300 306 340 360 400 408 425 432 450 459 510 540 600 612 675 680 720 765 816 850 900 918 1020 1080 1200 1224 1275 1350 1360 1530 1700 1800 1836 2040 2160 2295 2333 2448 2550 2700 3060 3400 3600 3672 3825 4080 4590 4666 5100 5400 6120 6800 6999 7344 7650 9180 9332 10200 10800 11475 11665 12240 13998 15300 18360 18664 20400 20997 22950 23330 27996 30600 34995 36720 37328 39661 41994 45900 46660 55992 58325 61200 62991 69990 79322 83988 91800 93320 104985 111984 116650 118983 125982 139980 158644 167976 174975 183600 186640 198305 209970 233300 237966 251964 279960 314955 317288 335952 349950 356949 396610 419940 466600 475932 503928 524925 559920 594915 629910 634576 699900 713898 793220 839880 933200 951864 991525 1007856 1049850 1070847 1189830 1259820 1399800 1427796 1574775 1586440 1679760 1784745 1903728 1983050 2099700 2141694 2379660 2519640 2799600 2855592 2974575 3149550 3172880 3569490 3966100 4199400 4283388 4759320 5039280 5354235 5711184 5949150 6299100 7138980 7932200 8398800 8566776 8923725 9518640 10708470 11898300 12598200 14277960 15864400 17133552 17847450 21416940 23796600 25196400 26771175 28555920 35694900 42833880 47593200 53542350 71389800 85667760 107084700 142779600 214169400 428338800
- Sum of all divisors σ(n): 1614941280
- Sum of proper divisors (its aliquot sum) s(n): 1186602480
- 428338800 is an abundant number, because the sum of its proper divisors (1186602480) is greater than itself. Its abundance is 758263680
Bases of 428338800
- Binary: 110011000011111101110011100002
- Hexadecimal: 0x1987EE70
- Base-36: 730SC0
Squares and roots of 428338800
- 428338800 squared (4283388002) is 183474127585440000
- 428338800 cubed (4283388003) is 78589087640994267072000000
-
The
square root of 428338800 is 20696.3475038471 -
The
cube root of 428338800 is 753.8110022161
Scales and comparisons
How big is 428338800?- 428,338,800 seconds is equal to 13 years, 32 weeks, 1 day, 15 hours.
-
To count from 1 to 428,338,800 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 428338800 cubic inches would be around 62.8 feet tall.
Recreational maths with 428338800
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"Number 428338800 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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The information we have on file for 428338800 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!
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