346341313 has 8 divisors (see below), whose sum is σ = 350418600. Its totient is φ = 342274560.

The previous prime is 346341263. The next prime is 346341371. The reversal of 346341313 is 313143643.

It can be written as a sum of positive squares in 4 ways, for example, as 1607824 + 344733489 = 1268^2 + 18567^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 346341313 - 2⁹ = 346340801 is a prime.

It is a super-3 number, since 3×346341313³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (346341013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77463 + ... + 81811.

It is an arithmetic number, because the mean of its divisors is an integer number (43802325).

Almost surely, 2^346341313 is an apocalyptic number.

It is an amenable number.

346341313 is a deficient number, since it is larger than the sum of its proper divisors (4077287).

346341313 is an equidigital number, since it uses as much as digits as its factorization.

346341313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267.

The product of its digits is 7776, while the sum is 28.

The square root of 346341313 is about 18610.2475265645. The cubic root of 346341313 is about 702.2656609583.

Adding to 346341313 its reverse (313143643), we get a palindrome (659484956).

The spelling of 346341313 in words is "three hundred forty-six million, three hundred forty-one thousand, three hundred thirteen".