398344 has 32 divisors (see below), whose sum is σ = 826200. Its totient is φ = 179200.

The previous prime is 398341. The next prime is 398347. The reversal of 398344 is 443893.

398344 = T₈₇ + T₈₈ + ... + T₁₄₄.

398344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (398341) and next prime (398347).

It can be written as a sum of positive squares in 4 ways, for example, as 396900 + 1444 = 630^2 + 38^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 398344.

It is not an unprimeable number, because it can be changed into a prime (398341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3894 + ... + 3994.

2³⁹⁸³⁴⁴ is an apocalyptic number.

398344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

398344 is an abundant number, since it is smaller than the sum of its proper divisors (427856).

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

398344 is a wasteful number, since it uses less digits than its factorization.

398344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 398344 is about 631.1449912659. The cubic root of 398344 is about 73.5788100624.

The spelling of 398344 in words is "three hundred ninety-eight thousand, three hundred forty-four".