346352256 has 96 divisors (see below), whose sum is σ = 1021112820. Its totient is φ = 112619520.

The previous prime is 346352233. The next prime is 346352257. The reversal of 346352256 is 652253643.

346352256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 225000000 + 121352256 = 15000^2 + 11016^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 346352256.

It is not an unprimeable number, because it can be changed into a prime (346352257) 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 11 ways as a sum of consecutive naturals, for example, 43566 + ... + 50898.

Almost surely, 2^346352256 is an apocalyptic number.

346352256 is a gapful number since it is divisible by the number (36) 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 346352256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510556410).

346352256 is an abundant number, since it is smaller than the sum of its proper divisors (674760564).

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

346352256 is a wasteful number, since it uses less digits than its factorization.

346352256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7394 (or 7379 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 346352256 is about 18610.5415289292. The cubic root of 346352256 is about 702.2730571423.

The spelling of 346352256 in words is "three hundred forty-six million, three hundred fifty-two thousand, two hundred fifty-six".