346406313 has 32 divisors (see below), whose sum is σ = 511391232. Its totient is φ = 206835200.

The previous prime is 346406311. The next prime is 346406327. The reversal of 346406313 is 313604643.

It is not a de Polignac number, because 346406313 - 2¹ = 346406311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (346406311) 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, 981145 + ... + 981497.

It is an arithmetic number, because the mean of its divisors is an integer number (15980976).

Almost surely, 2^346406313 is an apocalyptic number.

346406313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

346406313 is a deficient number, since it is larger than the sum of its proper divisors (164984919).

346406313 is a wasteful number, since it uses less digits than its factorization.

346406313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725.

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 346406313 is about 18611.9937943252. The cubic root of 346406313 is about 702.3095910459.

The spelling of 346406313 in words is "three hundred forty-six million, four hundred six thousand, three hundred thirteen".