352310112 has 144 divisors (see below), whose sum is σ = 1249178112. Its totient is φ = 91503360.

The previous prime is 352310087. The next prime is 352310131. The reversal of 352310112 is 211013253.

352310112 is a `hidden beast` number, since 352 + 310 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14233 + ... + 30119.

It is an arithmetic number, because the mean of its divisors is an integer number (8674848).

Almost surely, 2^352310112 is an apocalyptic number.

352310112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624589056).

352310112 is an abundant number, since it is smaller than the sum of its proper divisors (896868000).

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

352310112 is a wasteful number, since it uses less digits than its factorization.

352310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15921 (or 15910 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 352310112 is about 18769.9257324050. The cubic root of 352310112 is about 706.2769553290.

Adding to 352310112 its reverse (211013253), we get a palindrome (563323365).

The spelling of 352310112 in words is "three hundred fifty-two million, three hundred ten thousand, one hundred twelve".