350208 has 72 divisors (see below), whose sum is σ = 1064700. Its totient is φ = 110592.

The previous prime is 350191. The next prime is 350213. The reversal of 350208 is 802053.

350208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 18423 + ... + 18441.

2³⁵⁰²⁰⁸ is an apocalyptic number.

350208 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

350208 is the 342-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532350).

350208 is an abundant number, since it is smaller than the sum of its proper divisors (714492).

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

350208 is a wasteful number, since it uses less digits than its factorization.

350208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 350208 is about 591.7837442850. The cubic root of 350208 is about 70.4869449193.

The spelling of 350208 in words is "three hundred fifty thousand, two hundred eight".