Search a number
-
+
396381141 = 33131378243
BaseRepresentation
bin10111101000000…
…100101111010101
31000121212020201000
4113220010233111
51302433144031
6103155453513
712552120102
oct2750045725
91017766630
10396381141
11193824022
12b08b7299
1364175370
143a901aa9
1524beb3e6
hex17a04bd5

396381141 has 32 divisors (see below), whose sum is σ = 637096320. Its totient is φ = 242116992.

The previous prime is 396381137. The next prime is 396381187. The reversal of 396381141 is 141183693.

396381141 is a `hidden beast` number, since 3 + 9 + 638 + 1 + 14 + 1 = 666.

It is not a de Polignac number, because 396381141 - 22 = 396381137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 396381096 and 396381105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396381101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43966 + ... + 52208.

It is an arithmetic number, because the mean of its divisors is an integer number (19909260).

Almost surely, 2396381141 is an apocalyptic number.

It is an amenable number.

396381141 is a deficient number, since it is larger than the sum of its proper divisors (240715179).

396381141 is a wasteful number, since it uses less digits than its factorization.

396381141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8402 (or 8396 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 396381141 is about 19909.3229668917. The cubic root of 396381141 is about 734.5775665035.

The spelling of 396381141 in words is "three hundred ninety-six million, three hundred eighty-one thousand, one hundred forty-one".

Divisors: 1 3 9 13 27 39 117 137 351 411 1233 1781 3699 5343 8243 16029 24729 48087 74187 107159 222561 321477 964431 1129291 2893293 3387873 10163619 14680783 30490857 44042349 132127047 396381141