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395339904 = 2732343177
BaseRepresentation
bin10111100100000…
…110100010000000
31000112220100101200
4113210012202000
51302201334104
6103121301200
712540222321
oct2744064200
91015810350
10395339904
111931827a3
12b0494800
1363b9c44b
143a710448
1524a92b39
hex17906880

395339904 has 48 divisors (see below), whose sum is σ = 1137635070. Its totient is φ = 131779584.

The previous prime is 395339899. The next prime is 395339911. The reversal of 395339904 is 409933593.

It can be written as a sum of positive squares in only one way, i.e., 390141504 + 5198400 = 19752^2 + 2280^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 395339904.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 170437 + ... + 172740.

Almost surely, 2395339904 is an apocalyptic number.

It is an amenable number.

395339904 is an abundant number, since it is smaller than the sum of its proper divisors (742295166).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

395339904 is a wasteful number, since it uses less digits than its factorization.

395339904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343197 (or 343182 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The square root of 395339904 is about 19883.1562886781. The cubic root of 395339904 is about 733.9337921359.

The spelling of 395339904 in words is "three hundred ninety-five million, three hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 343177 686354 1029531 1372708 2059062 2745416 3088593 4118124 5490832 6177186 8236248 10981664 12354372 16472496 21963328 24708744 32944992 43926656 49417488 65889984 98834976 131779968 197669952 395339904