328330800
328,330,800 is an even composite number composed of six prime numbers multiplied together.
328330800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 328330800:
24 × 33 × 52 × 7 × 43 × 101
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 43 × 101)See below for interesting mathematical facts about the number 328330800 from the Numbermatics database.
Names of 328330800
- Cardinal: 328330800 can be written as Three hundred twenty-eight million, three hundred thirty thousand, eight hundred.
Scientific notation
- Scientific notation: 3.283308 × 108
Factors of 328330800
Divisors of 328330800
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 35 36 40 42 43 45 48 50 54 56 60 63 70 72 75 80 84 86 90 100 101 105 108 112 120 126 129 135 140 144 150 168 172 175 180 189 200 202 210 215 216 225 240 252 258 270 280 300 301 303 315 336 344 350 360 378 387 400 404 420 430 432 450 504 505 516 525 540 560 600 602 606 630 645 675 688 700 707 720 756 774 808 840 860 900 903 909 945 1008 1010 1032 1050 1075 1080 1161 1200 1204 1212 1260 1290 1350 1400 1414 1505 1512 1515 1548 1575 1616 1680 1720 1800 1806 1818 1890 1935 2020 2064 2100 2121 2150 2160 2322 2408 2424 2520 2525 2580 2700 2709 2727 2800 2828 3010 3024 3030 3096 3150 3225 3440 3535 3600 3612 3636 3780 3870 4040 4200 4242 4300 4343 4515 4545 4644 4725 4816 4848 5040 5050 5160 5400 5418 5454 5656 5805 6020 6060 6192 6300 6363 6450 7070 7224 7272 7525 7560 7575 7740 8080 8127 8400 8484 8600 8686 9030 9090 9288 9450 9675 10100 10320 10605 10800 10836 10908 11312 11610 12040 12120 12600 12726 12900 13029 13545 13635 14140 14448 14544 15050 15120 15150 15480 16254 16968 17200 17372 17675 18060 18180 18576 18900 19089 19350 20200 21210 21672 21715 21816 22575 22725 23220 24080 24240 25200 25452 25800 26058 27090 27270 28280 29025 30100 30300 30401 30960 31815 32508 33936 34744 35350 36120 36360 37800 38178 38700 39087 40400 40635 42420 43344 43430 43632 45150 45450 46440 50904 51600 52116 53025 54180 54540 56560 58050 60200 60600 60802 63630 65016 65145 67725 68175 69488 70700 72240 72720 75600 76356 77400 78174 81270 84840 86860 90300 90900 91203 92880 95445 101808 104232 106050 108360 108575 109080 116100 117261 120400 121200 121604 127260 130032 130290 135450 136350 141400 152005 152712 154800 156348 159075 162540 169680 173720 180600 181800 182406 190890 195435 203175 208464 212100 216720 217150 218160 232200 234522 243208 254520 260580 270900 272700 273609 282800 304010 305424 312696 318150 325080 325725 347440 361200 363600 364812 381780 390870 406350 424200 434300 456015 464400 469044 477225 486416 509040 521160 541800 545400 547218 586305 608020 625392 636300 650160 651450 729624 760025 763560 781740 812700 820827 848400 868600 912030 938088 954450 977175 1042320 1083600 1090800 1094436 1172610 1216040 1272600 1302900 1368045 1459248 1520050 1527120 1563480 1625400 1641654 1737200 1824060 1876176 1908900 1954350 2188872 2280075 2345220 2432080 2545200 2605800 2736090 2931525 3040100 3126960 3250800 3283308 3648120 3817800 3908700 4104135 4377744 4560150 4690440 5211600 5472180 5863050 6080200 6566616 6840225 7296240 7635600 7817400 8208270 9120300 9380880 10944360 11726100 12160400 13133232 13680450 15634800 16416540 18240600 20520675 21888720 23452200 27360900 32833080 36481200 41041350 46904400 54721800 65666160 82082700 109443600 164165400 328330800
- Sum of all divisors σ(n): 1380149760
- Sum of proper divisors (its aliquot sum) s(n): 1051818960
- 328330800 is an abundant number, because the sum of its proper divisors (1051818960) is greater than itself. Its abundance is 723488160
Bases of 328330800
- Binary: 100111001000111101110001100002
- Hexadecimal: 0x1391EE30
- Base-36: 5FH9O0
Squares and roots of 328330800
- 328330800 squared (3283308002) is 107801114228640000
- 328330800 cubed (3283308003) is 35394426075580754112000000
-
The
square root of 328330800 is 18119.9006619793 -
The
cube root of 328330800 is 689.8752137287
Scales and comparisons
How big is 328330800?- 328,330,800 seconds is equal to 10 years, 22 weeks, 6 days, 3 hours.
-
To count from 1 to 328,330,800 would take you about fifteen 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 328330800 cubic inches would be around 57.5 feet tall.
Recreational maths with 328330800
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