342311904 has 288 divisors, whose sum is σ = 1151055360. Its totient is φ = 96180480.

The previous prime is 342311873. The next prime is 342311953. The reversal of 342311904 is 409113243.

342311904 is a `hidden beast` number, since 342 + 311 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×342311904³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7283209 + ... + 7283255.

It is an arithmetic number, because the mean of its divisors is an integer number (3996720).

Almost surely, 2^342311904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342311904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575527680).

342311904 is an abundant number, since it is smaller than the sum of its proper divisors (808743456).

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

342311904 is a wasteful number, since it uses less digits than its factorization.

342311904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 342311904 is about 18501.6730054339. The cubic root of 342311904 is about 699.5315941185.

The spelling of 342311904 in words is "three hundred forty-two million, three hundred eleven thousand, nine hundred four".