428306400
428,306,400 is an even composite number composed of five prime numbers multiplied together.
428306400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 428306400:
25 × 33 × 52 × 79 × 251
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 79 × 251)See below for interesting mathematical facts about the number 428306400 from the Numbermatics database.
Names of 428306400
- Cardinal: 428306400 can be written as Four hundred twenty-eight million, three hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 4.283064 × 108
Factors of 428306400
Divisors of 428306400
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 79 80 90 96 100 108 120 135 144 150 158 160 180 200 216 225 237 240 251 270 288 300 316 360 395 400 432 450 474 480 502 540 600 632 675 711 720 753 790 800 864 900 948 1004 1080 1185 1200 1255 1264 1350 1422 1440 1506 1580 1800 1896 1975 2008 2133 2160 2259 2370 2400 2510 2528 2700 2844 3012 3160 3555 3600 3765 3792 3950 4016 4266 4320 4518 4740 5020 5400 5688 5925 6024 6275 6320 6777 7110 7200 7530 7584 7900 8032 8532 9036 9480 10040 10665 10800 11295 11376 11850 12048 12550 12640 13554 14220 15060 15800 17064 17775 18072 18825 18960 19829 20080 21330 21600 22590 22752 23700 24096 25100 27108 28440 30120 31600 33885 34128 35550 36144 37650 37920 39658 40160 42660 45180 47400 50200 53325 54216 56475 56880 59487 60240 63200 67770 68256 71100 72288 75300 79316 85320 90360 94800 99145 100400 106650 108432 112950 113760 118974 120480 135540 142200 150600 158632 169425 170640 178461 180720 189600 198290 200800 213300 216864 225900 237948 271080 284400 297435 301200 317264 338850 341280 356922 361440 396580 426600 451800 475896 495725 535383 542160 568800 594870 602400 634528 677700 713844 793160 853200 892305 903600 951792 991450 1070766 1084320 1189740 1355400 1427688 1487175 1586320 1706400 1784610 1807200 1903584 1982900 2141532 2379480 2676915 2710800 2855376 2974350 3172640 3569220 3965800 4283064 4461525 4758960 5353830 5421600 5710752 5948700 7138440 7931600 8566128 8923050 9517920 10707660 11897400 13384575 14276880 15863200 17132256 17846100 21415320 23794800 26769150 28553760 35692200 42830640 47589600 53538300 71384400 85661280 107076600 142768800 214153200 428306400
- Sum of all divisors σ(n): 1574899200
- Sum of proper divisors (its aliquot sum) s(n): 1146592800
- 428306400 is an abundant number, because the sum of its proper divisors (1146592800) is greater than itself. Its abundance is 718286400
Bases of 428306400
- Binary: 110011000011101101111111000002
- Hexadecimal: 0x19876FE0
- Base-36: 7303C0
Squares and roots of 428306400
- 428306400 squared (4283064002) is 183446372280960000
- 428306400 cubed (4283064003) is 78571255304717766144000000
-
The
square root of 428306400 is 20695.5647422341 -
The
cube root of 428306400 is 753.7919953831
Scales and comparisons
How big is 428306400?- 428,306,400 seconds is equal to 13 years, 32 weeks, 1 day, 6 hours.
-
To count from 1 to 428,306,400 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 428306400 cubic inches would be around 62.8 feet tall.
Recreational maths with 428306400
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