385478400
385,478,400 is an even composite number composed of five prime numbers multiplied together.
385478400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 385478400:
28 × 3 × 52 × 17 × 1181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 1181)See below for interesting mathematical facts about the number 385478400 from the Numbermatics database.
Names of 385478400
- Cardinal: 385478400 can be written as Three hundred eighty-five million, four hundred seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 3.854784 × 108
Factors of 385478400
Divisors of 385478400
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 85 96 100 102 120 128 136 150 160 170 192 200 204 240 255 256 272 300 320 340 384 400 408 425 480 510 544 600 640 680 768 800 816 850 960 1020 1088 1181 1200 1275 1280 1360 1600 1632 1700 1920 2040 2176 2362 2400 2550 2720 3200 3264 3400 3543 3840 4080 4352 4724 4800 5100 5440 5905 6400 6528 6800 7086 8160 9448 9600 10200 10880 11810 13056 13600 14172 16320 17715 18896 19200 20077 20400 21760 23620 27200 28344 29525 32640 35430 37792 40154 40800 47240 54400 56688 59050 60231 65280 70860 75584 80308 81600 88575 94480 100385 108800 113376 118100 120462 141720 151168 160616 163200 177150 188960 200770 226752 236200 240924 283440 301155 302336 321232 326400 354300 377920 401540 453504 472400 481848 501925 566880 602310 642464 708600 755840 803080 907008 944800 963696 1003850 1133760 1204620 1284928 1417200 1505775 1511680 1606160 1889600 1927392 2007700 2267520 2409240 2569856 2834400 3011550 3212320 3779200 3854784 4015400 4535040 4818480 5139712 5668800 6023100 6424640 7558400 7709568 8030800 9636960 11337600 12046200 12849280 15419136 16061600 19273920 22675200 24092400 25698560 32123200 38547840 48184800 64246400 77095680 96369600 128492800 192739200 385478400
- Sum of all divisors σ(n): 1348132464
- Sum of proper divisors (its aliquot sum) s(n): 962654064
- 385478400 is an abundant number, because the sum of its proper divisors (962654064) is greater than itself. Its abundance is 577175664
Bases of 385478400
- Binary: 101101111100111101111000000002
- Hexadecimal: 0x16F9EF00
- Base-36: 6DI51C
Squares and roots of 385478400
- 385478400 squared (3854784002) is 148593596866560000
- 385478400 cubed (3854784003) is 57279621970366562304000000
-
The
square root of 385478400 is 19633.6038464669 -
The
cube root of 385478400 is 727.7798311791
Scales and comparisons
How big is 385478400?- 385,478,400 seconds is equal to 12 years, 13 weeks, 2 days, 13 hours, 20 minutes.
-
To count from 1 to 385,478,400 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 385478400 cubic inches would be around 60.6 feet tall.
Recreational maths with 385478400
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The information we have on file for 385478400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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