347264 has 16 divisors (see below), whose sum is σ = 692070. Its totient is φ = 173568.

The previous prime is 347257. The next prime is 347287. The reversal of 347264 is 462743.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 193600 + 153664 = 440^2 + 392^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a d-powerful number, because it can be written as 3¹⁰ + 4² + 2¹³ + 7 + 6⁷ + 4³ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 347264.

It is an unprimeable number.

347264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1229 + ... + 1484.

2³⁴⁷²⁶⁴ is an apocalyptic number.

It is an amenable number.

347264 is a deficient number, since it is larger than the sum of its proper divisors (344806).

347264 is an equidigital number, since it uses as much as digits as its factorization.

347264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2715 counting only the distinct ones).

The product of its digits is 4032, while the sum is 26.

The square root of 347264 is about 589.2910995425. The cubic root of 347264 is about 70.2888742682.

The spelling of 347264 in words is "three hundred forty-seven thousand, two hundred sixty-four".