352288 has 24 divisors (see below), whose sum is σ = 706860. Its totient is φ = 172800.

The previous prime is 352273. The next prime is 352301. The reversal of 352288 is 882253.

It can be written as a sum of positive squares in 2 ways, for example, as 300304 + 51984 = 548^2 + 228^2 .

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 3 ways as a sum of consecutive naturals, for example, 3178 + ... + 3286.

2³⁵²²⁸⁸ is an apocalyptic number.

It is an amenable number.

352288 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

352288 is a wasteful number, since it uses less digits than its factorization.

352288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 352288 is about 593.5385412928. The cubic root of 352288 is about 70.6262179026.

The spelling of 352288 in words is "three hundred fifty-two thousand, two hundred eighty-eight".