380390400
380,390,400 is an even composite number composed of five prime numbers multiplied together.
380390400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred ninety-six divisors.
Prime factorization of 380390400:
210 × 32 × 52 × 13 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 127)See below for interesting mathematical facts about the number 380390400 from the Numbermatics database.
Names of 380390400
- Cardinal: 380390400 can be written as Three hundred eighty million, three hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 3.803904 × 108
Factors of 380390400
Divisors of 380390400
- Number of divisors d(n): 396
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 127 128 130 144 150 156 160 180 192 195 200 208 225 234 240 254 256 260 288 300 312 320 325 360 381 384 390 400 416 450 468 480 508 512 520 576 585 600 624 635 640 650 720 762 768 780 800 832 900 936 960 975 1016 1024 1040 1143 1152 1170 1200 1248 1270 1280 1300 1440 1524 1536 1560 1600 1651 1664 1800 1872 1905 1920 1950 2032 2080 2286 2304 2340 2400 2496 2540 2560 2600 2880 2925 3048 3072 3120 3175 3200 3302 3328 3600 3744 3810 3840 3900 4064 4160 4572 4608 4680 4800 4953 4992 5080 5120 5200 5715 5760 5850 6096 6240 6350 6400 6604 6656 7200 7488 7620 7680 7800 8128 8255 8320 9144 9216 9360 9525 9600 9906 9984 10160 10400 11430 11520 11700 12192 12480 12700 12800 13208 13312 14400 14859 14976 15240 15360 15600 16256 16510 16640 18288 18720 19050 19200 19812 19968 20320 20800 22860 23040 23400 24384 24765 24960 25400 25600 26416 28575 28800 29718 29952 30480 31200 32512 33020 33280 36576 37440 38100 38400 39624 39936 40640 41275 41600 45720 46080 46800 48768 49530 49920 50800 52832 57150 57600 59436 59904 60960 62400 65024 66040 66560 73152 74295 74880 76200 76800 79248 81280 82550 83200 91440 93600 97536 99060 99840 101600 105664 114300 115200 118872 119808 121920 123825 124800 130048 132080 146304 148590 149760 152400 158496 162560 165100 166400 182880 187200 195072 198120 199680 203200 211328 228600 230400 237744 243840 247650 249600 264160 292608 297180 299520 304800 316992 325120 330200 332800 365760 371475 374400 390144 396240 406400 422656 457200 475488 487680 495300 499200 528320 585216 594360 599040 609600 633984 650240 660400 731520 742950 748800 792480 812800 845312 914400 950976 975360 990600 998400 1056640 1170432 1188720 1219200 1267968 1320800 1463040 1485900 1497600 1584960 1625600 1690624 1828800 1901952 1950720 1981200 2113280 2377440 2438400 2535936 2641600 2926080 2971800 2995200 3169920 3251200 3657600 3803904 3962400 4226560 4754880 4876800 5071872 5283200 5852160 5943600 6339840 7315200 7607808 7924800 8453120 9509760 9753600 10566400 11887200 12679680 14630400 15215616 15849600 19019520 21132800 23774400 25359360 29260800 31699200 38039040 42265600 47548800 63398400 76078080 95097600 126796800 190195200 380390400
- Sum of all divisors σ(n): 1478294272
- Sum of proper divisors (its aliquot sum) s(n): 1097903872
- 380390400 is an abundant number, because the sum of its proper divisors (1097903872) is greater than itself. Its abundance is 717513472
Bases of 380390400
- Binary: 101101010110001001100000000002
- Hexadecimal: 0x16AC4C00
- Base-36: 6AH340
Squares and roots of 380390400
- 380390400 squared (3803904002) is 144696856412160000
- 380390400 cubed (3803904003) is 55041295089364107264000000
-
The
square root of 380390400 is 19503.5996677537 -
The
cube root of 380390400 is 724.5636057877
Scales and comparisons
How big is 380390400?- 380,390,400 seconds is equal to 12 years, 4 weeks, 6 days, 16 hours.
-
To count from 1 to 380,390,400 would take you about eighteen 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 380390400 cubic inches would be around 60.4 feet tall.
Recreational maths with 380390400
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