104306400
104,306,400 is an even composite number composed of five prime numbers multiplied together.
104306400 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 104306400:
25 × 33 × 52 × 11 × 439
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 439)See below for interesting mathematical facts about the number 104306400 from the Numbermatics database.
Names of 104306400
- Cardinal: 104306400 can be written as One hundred four million, three hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.043064 × 108
Factors of 104306400
Divisors of 104306400
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 66 72 75 80 88 90 96 99 100 108 110 120 132 135 144 150 160 165 176 180 198 200 216 220 225 240 264 270 275 288 297 300 330 352 360 396 400 432 439 440 450 480 495 528 540 550 594 600 660 675 720 792 800 825 864 878 880 900 990 1056 1080 1100 1188 1200 1317 1320 1350 1440 1485 1584 1650 1756 1760 1800 1980 2160 2195 2200 2376 2400 2475 2634 2640 2700 2970 3168 3300 3512 3600 3951 3960 4320 4390 4400 4752 4829 4950 5268 5280 5400 5940 6585 6600 7024 7200 7425 7902 7920 8780 8800 9504 9658 9900 10536 10800 10975 11853 11880 13170 13200 14048 14487 14850 15804 15840 17560 19316 19755 19800 21072 21600 21950 23706 23760 24145 26340 26400 28974 29700 31608 32925 35120 38632 39510 39600 42144 43461 43900 47412 47520 48290 52680 57948 59265 59400 63216 65850 70240 72435 77264 79020 79200 86922 87800 94824 96580 98775 105360 115896 118530 118800 120725 126432 130383 131700 144870 154528 158040 173844 175600 189648 193160 197550 210720 217305 231792 237060 237600 241450 260766 263400 289740 296325 316080 347688 351200 362175 379296 386320 395100 434610 463584 474120 482900 521532 526800 579480 592650 632160 651915 695376 724350 772640 790200 869220 948240 965800 1043064 1053600 1086525 1158960 1185300 1303830 1390752 1448700 1580400 1738440 1896480 1931600 2086128 2173050 2317920 2370600 2607660 2897400 3160800 3259575 3476880 3863200 4172256 4346100 4741200 5215320 5794800 6519150 6953760 8692200 9482400 10430640 11589600 13038300 17384400 20861280 26076600 34768800 52153200 104306400
- Sum of all divisors σ(n): 412473600
- Sum of proper divisors (its aliquot sum) s(n): 308167200
- 104306400 is an abundant number, because the sum of its proper divisors (308167200) is greater than itself. Its abundance is 203860800
Bases of 104306400
- Binary: 1100011011110010110111000002
- Hexadecimal: 0x63796E0
- Base-36: 1Q3NC0
Squares and roots of 104306400
- 104306400 squared (1043064002) is 10879825080960000
- 104306400 cubed (1043064003) is 1134835386824646144000000
-
The
square root of 104306400 is 10213.0504747603 -
The
cube root of 104306400 is 470.7283109969
Scales and comparisons
How big is 104306400?- 104,306,400 seconds is equal to 3 years, 16 weeks, 3 days, 6 hours.
-
To count from 1 to 104,306,400 would take you about four 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 104306400 cubic inches would be around 39.2 feet tall.
Recreational maths with 104306400
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