300128400
300,128,400 is an even composite number composed of six prime numbers multiplied together.
300128400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 300128400:
24 × 32 × 52 × 112 × 13 × 53
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 13 × 53)See below for interesting mathematical facts about the number 300128400 from the Numbermatics database.
Names of 300128400
- Cardinal: 300128400 can be written as Three hundred million, one hundred twenty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 3.001284 × 108
Factors of 300128400
Divisors of 300128400
- Number of divisors d(n): 540
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 30 33 36 39 40 44 45 48 50 52 53 55 60 65 66 72 75 78 80 88 90 99 100 104 106 110 117 120 121 130 132 143 144 150 156 159 165 176 180 195 198 200 208 212 220 225 234 240 242 260 264 265 275 286 300 312 318 325 330 360 363 390 396 400 424 429 440 450 468 477 484 495 520 528 530 550 572 583 585 600 605 624 636 650 660 689 715 720 726 780 792 795 825 848 858 880 900 936 954 968 975 990 1040 1060 1089 1100 1144 1166 1170 1200 1210 1272 1287 1300 1320 1325 1378 1430 1452 1560 1573 1584 1590 1650 1716 1749 1800 1815 1872 1908 1936 1950 1980 2067 2120 2145 2178 2200 2288 2332 2340 2385 2420 2475 2544 2574 2600 2640 2650 2756 2860 2904 2915 2925 3025 3120 3146 3180 3300 3432 3445 3498 3575 3600 3630 3816 3900 3960 3975 4134 4240 4290 4356 4400 4664 4680 4719 4770 4840 4950 5148 5200 5247 5300 5445 5512 5720 5808 5830 5850 6050 6201 6292 6360 6413 6435 6600 6864 6890 6996 7150 7260 7579 7632 7800 7865 7920 7950 8268 8580 8712 8745 9075 9328 9360 9438 9540 9680 9900 10296 10335 10494 10600 10725 10890 11024 11440 11660 11700 11925 12100 12402 12584 12720 12826 12870 13200 13780 13992 14157 14300 14520 14575 15158 15600 15730 15900 16536 17160 17225 17424 17490 18150 18876 19080 19239 19800 20592 20670 20988 21200 21450 21780 22737 23320 23400 23595 23850 24200 24804 25168 25652 25740 26235 27225 27560 27984 28314 28600 29040 29150 30316 31005 31460 31800 32065 32175 33072 34320 34450 34980 36300 37752 37895 38160 38478 39325 39600 41340 41976 42900 43560 43725 45474 46640 46800 47190 47700 48400 49608 51304 51480 51675 52470 54450 55120 56628 57200 57717 58300 60632 62010 62920 63600 64130 64350 68211 68900 69960 70785 72600 75504 75790 76956 78650 82680 83369 83952 85800 87120 87450 90948 94380 95400 96195 99216 102608 102960 103350 104940 108900 113256 113685 115434 116600 117975 121264 124020 125840 128260 128700 131175 136422 137800 139920 141570 145200 151580 153912 155025 157300 160325 165360 166738 171600 174900 181896 188760 189475 190800 192390 206700 209880 217800 226512 227370 230868 233200 235950 248040 250107 256520 257400 262350 272844 275600 283140 288585 303160 307824 310050 314600 320650 333476 341055 349800 353925 363792 377520 378950 384780 413400 416845 419760 435600 454740 461736 471900 480975 496080 500214 513040 514800 524700 545688 566280 568425 577170 606320 620100 629200 641300 666952 682110 699600 707850 750321 757900 769560 826800 833690 909480 923472 943800 961950 1000428 1049400 1091376 1132560 1136850 1154340 1240200 1250535 1282600 1333904 1364220 1415700 1442925 1500642 1515800 1539120 1667380 1705275 1818960 1887600 1923900 2000856 2084225 2098800 2273700 2308680 2480400 2501070 2565200 2728440 2831400 2885850 3001284 3031600 3334760 3410550 3751605 3847800 4001712 4168450 4547400 4617360 5002140 5456880 5662800 5771700 6002568 6252675 6669520 6821100 7503210 7695600 8336900 9094800 10004280 11543400 12005136 12505350 13642200 15006420 16673800 18758025 20008560 23086800 25010700 27284400 30012840 33347600 37516050 50021400 60025680 75032100 100042800 150064200 300128400
- Sum of all divisors σ(n): 1256146164
- Sum of proper divisors (its aliquot sum) s(n): 956017764
- 300128400 is an abundant number, because the sum of its proper divisors (956017764) is greater than itself. Its abundance is 655889364
Bases of 300128400
- Binary: 100011110001110011000100100002
- Hexadecimal: 0x11E39890
- Base-36: 4YOSK0
Squares and roots of 300128400
- 300128400 squared (3001284002) is 90077056486560000
- 300128400 cubed (3001284003) is 27034682840020874304000000
-
The
square root of 300128400 is 17324.2142678969 -
The
cube root of 300128400 is 669.5284422275
Scales and comparisons
How big is 300128400?- 300,128,400 seconds is equal to 9 years, 28 weeks, 1 day, 17 hours.
-
To count from 1 to 300,128,400 would take you about fourteen 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 300128400 cubic inches would be around 55.8 feet tall.
Recreational maths with 300128400
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