348300 has 90 divisors (see below), whose sum is σ = 1155308. Its totient is φ = 90720.

The previous prime is 348287. The next prime is 348307. The reversal of 348300 is 3843.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 348300.

It is not an unprimeable number, because it can be changed into a prime (348307) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 8079 + ... + 8121.

2³⁴⁸³⁰⁰ is an apocalyptic number.

348300 is a gapful number since it is divisible by the number (30) 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 348300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577654).

348300 is an abundant number, since it is smaller than the sum of its proper divisors (807008).

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

348300 is a wasteful number, since it uses less digits than its factorization.

348300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 348300 is about 590.1694671872. The cubic root of 348300 is about 70.3587029663.

The spelling of 348300 in words is "three hundred forty-eight thousand, three hundred".