| Base | Representation |
|---|---|
| bin | 10111000000101… |
| … | …011010001010000 |
| 3 | 222220102112102200 |
| 4 | 113000223101100 |
| 5 | 1242312200300 |
| 6 | 102150243200 |
| 7 | 12365253351 |
| oct | 2700532120 |
| 9 | 886375380 |
| 10 | 386053200 |
| 11 | 188a0a535 |
| 12 | a9356500 |
| 13 | 61c9a460 |
| 14 | 393b3d28 |
| 15 | 23d5b200 |
| hex | 1702b450 |
386053200 has 360 divisors, whose sum is σ = 1475473272. Its totient is φ = 92897280.
The previous prime is 386053193. The next prime is 386053207. The reversal of 386053200 is 2350683.
386053200 is a `hidden beast` number, since 38 + 605 + 3 + 20 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (386053193) and next prime (386053207).
It can be written as a sum of positive squares in 12 ways, for example, as 281031696 + 105021504 = 16764^2 + 10248^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (386053207) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3416344 + ... + 3416456.
Almost surely, 2386053200 is an apocalyptic number.
386053200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 386053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737736636).
386053200 is an abundant number, since it is smaller than the sum of its proper divisors (1089420072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
386053200 is a wasteful number, since it uses less digits than its factorization.
386053200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 223 (or 209 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 386053200 is about 19648.2365620938. The cubic root of 386053200 is about 728.1413906433.
The spelling of 386053200 in words is "three hundred eighty-six million, fifty-three thousand, two hundred".
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