1328342400
1,328,342,400 is an even composite number composed of six prime numbers multiplied together.
1328342400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 1328342400:
27 × 32 × 52 × 7 × 11 × 599
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 11 × 599)See below for interesting mathematical facts about the number 1328342400 from the Numbermatics database.
Names of 1328342400
- Cardinal: 1328342400 can be written as One billion, three hundred twenty-eight million, three hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.3283424 × 109
Factors of 1328342400
Divisors of 1328342400
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 50 55 56 60 63 64 66 70 72 75 77 80 84 88 90 96 99 100 105 110 112 120 126 128 132 140 144 150 154 160 165 168 175 176 180 192 198 200 210 220 224 225 231 240 252 264 275 280 288 300 308 315 320 330 336 350 352 360 384 385 396 400 420 440 448 450 462 480 495 504 525 528 550 560 576 599 600 616 630 640 660 672 693 700 704 720 770 792 800 825 840 880 896 900 924 960 990 1008 1050 1056 1100 1120 1152 1155 1198 1200 1232 1260 1320 1344 1386 1400 1408 1440 1540 1575 1584 1600 1650 1680 1760 1797 1800 1848 1920 1925 1980 2016 2100 2112 2200 2240 2310 2396 2400 2464 2475 2520 2640 2688 2772 2800 2880 2995 3080 3150 3168 3200 3300 3360 3465 3520 3594 3600 3696 3850 3960 4032 4193 4200 4224 4400 4480 4620 4792 4800 4928 4950 5040 5280 5391 5544 5600 5760 5775 5990 6160 6300 6336 6589 6600 6720 6930 7040 7188 7200 7392 7700 7920 8064 8386 8400 8800 8985 9240 9584 9600 9856 9900 10080 10560 10782 11088 11200 11550 11980 12320 12579 12600 12672 13178 13200 13440 13860 14376 14400 14784 14975 15400 15840 16772 16800 17325 17600 17970 18480 19168 19767 19800 20160 20965 21120 21564 22176 22400 23100 23960 24640 25158 25200 26356 26400 26955 27720 28752 28800 29568 29950 30800 31680 32945 33544 33600 34650 35200 35940 36960 37737 38336 39534 39600 40320 41930 43128 44352 44925 46123 46200 47920 49280 50316 50400 52712 52800 53910 55440 57504 59301 59900 61600 62895 63360 65890 67088 67200 69300 71880 73920 75474 76672 79068 79200 83860 86256 88704 89850 92246 92400 95840 98835 100632 100800 104825 105424 105600 107820 110880 115008 118602 119800 123200 125790 131780 134176 134775 138369 138600 143760 147840 150948 158136 158400 164725 167720 172512 179700 184492 184800 188685 191680 197670 201264 201600 209650 210848 215640 221760 230016 230615 237204 239600 246400 251580 263560 268352 269550 276738 277200 287520 296505 301896 314475 316272 316800 329450 335440 345024 359400 368984 369600 377370 383360 395340 402528 415107 419300 421696 431280 443520 461230 474408 479200 494175 503160 527120 536704 539100 553476 554400 575040 593010 603792 628950 632544 658900 670880 690048 691845 718800 737968 739200 754740 790680 805056 830214 838600 843392 862560 922460 943425 948816 958400 988350 1006320 1054240 1078200 1106952 1108800 1150080 1153075 1186020 1207584 1257900 1265088 1317800 1341760 1383690 1437600 1475936 1482525 1509480 1581360 1610112 1660428 1677200 1725120 1844920 1886850 1897632 1916800 1976700 2012640 2075535 2108480 2156400 2213904 2217600 2306150 2372040 2415168 2515800 2530176 2635600 2683520 2767380 2875200 2951872 2965050 3018960 3162720 3320856 3354400 3450240 3459225 3689840 3773700 3795264 3953400 4025280 4151070 4216960 4312800 4427808 4612300 4744080 4830336 5031600 5271200 5534760 5750400 5903744 5930100 6037920 6325440 6641712 6708800 6918450 7379680 7547400 7590528 7906800 8050560 8302140 8625600 8855616 9224600 9488160 10063200 10377675 10542400 11069520 11860200 12075840 12650880 13283424 13417600 13836900 14759360 15094800 15813600 16604280 17251200 17711232 18449200 18976320 20126400 20755350 21084800 22139040 23720400 24151680 26566848 27673800 29518720 30189600 31627200 33208560 36898400 37952640 40252800 41510700 44278080 47440800 53133696 55347600 60379200 63254400 66417120 73796800 83021400 88556160 94881600 110695200 120758400 132834240 147593600 166042800 189763200 221390400 265668480 332085600 442780800 664171200 1328342400
- Sum of all divisors σ(n): 5919264000
- Sum of proper divisors (its aliquot sum) s(n): 4590921600
- 1328342400 is an abundant number, because the sum of its proper divisors (4590921600) is greater than itself. Its abundance is 3262579200
Bases of 1328342400
- Binary: 10011110010110011100101100000002
- Hexadecimal: 0x4F2CE580
- Base-36: LYUZK0
Squares and roots of 1328342400
- 1328342400 squared (13283424002) is 1764493531637760000
- 1328342400 cubed (13283424003) is 2343851572600178049024000000
-
The
square root of 1328342400 is 36446.4319241267 -
The
cube root of 1328342400 is 1099.2673909725
Scales and comparisons
How big is 1328342400?- 1,328,342,400 seconds is equal to 42 years, 12 weeks, 2 days, 8 hours.
-
To count from 1 to 1,328,342,400 would take you about eighty-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 1328342400 cubic inches would be around 91.6 feet tall.
Recreational maths with 1328342400
- 1328342400 backwards is 0042438231
- The number of decimal digits it has is: 10
- The sum of 1328342400's digits is 27
- More coming soon!
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