348264 has 48 divisors (see below), whose sum is σ = 1079520. Its totient is φ = 99360.

The previous prime is 348259. The next prime is 348269. The reversal of 348264 is 462843.

It is an interprime number because it is at equal distance from previous prime (348259) and next prime (348269).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (348269) by changing a digit.

348264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159 + ... + 849.

It is an arithmetic number, because the mean of its divisors is an integer number (22490).

2³⁴⁸²⁶⁴ 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 348264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539760).

348264 is an abundant number, since it is smaller than the sum of its proper divisors (731256).

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

348264 is a wasteful number, since it uses less digits than its factorization.

348264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 703 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 348264 is about 590.1389666850. The cubic root of 348264 is about 70.3562788103.

The spelling of 348264 in words is "three hundred forty-eight thousand, two hundred sixty-four".