348404 has 24 divisors (see below), whose sum is σ = 728448. Its totient is φ = 142560.

The previous prime is 348401. The next prime is 348407. The reversal of 348404 is 404843.

348404 = T₆₄ + T₆₅ + ... + T₁₃₂.

It is an interprime number because it is at equal distance from previous prime (348401) and next prime (348407).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 348404.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 348404.

It is not an unprimeable number, because it can be changed into a prime (348401) 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, 374 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (30352).

2³⁴⁸⁴⁰⁴ 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 348404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364224).

348404 is an abundant number, since it is smaller than the sum of its proper divisors (380044).

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

348404 is a wasteful number, since it uses less digits than its factorization.

348404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 348404 is about 590.2575708960. The cubic root of 348404 is about 70.3657051454.

The spelling of 348404 in words is "three hundred forty-eight thousand, four hundred four".