352106304 has 112 divisors (see below), whose sum is σ = 1021567680. Its totient is φ = 106147840.

The previous prime is 352106299. The next prime is 352106311. The reversal of 352106304 is 403601253.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618532 + ... + 619100.

It is an arithmetic number, because the mean of its divisors is an integer number (9121140).

Almost surely, 2^352106304 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 352106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510783840).

352106304 is an abundant number, since it is smaller than the sum of its proper divisors (669461376).

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

352106304 is a wasteful number, since it uses less digits than its factorization.

352106304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 352106304 is about 18764.4958365526. The cubic root of 352106304 is about 706.1407375911.

Adding to 352106304 its reverse (403601253), we get a palindrome (755707557).

It can be divided in two parts, 35210 and 6304, that added together give a palindrome (41514).

The spelling of 352106304 in words is "three hundred fifty-two million, one hundred six thousand, three hundred four".