342304032 has 96 divisors (see below), whose sum is σ = 1071608832. Its totient is φ = 93544704.

The previous prime is 342304031. The next prime is 342304033. The reversal of 342304032 is 230403243.

It is an interprime number because it is at equal distance from previous prime (342304031) and next prime (342304033).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (342304031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4383 + ... + 26529.

It is an arithmetic number, because the mean of its divisors is an integer number (11162592).

Almost surely, 2^342304032 is an apocalyptic number.

342304032 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 342304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535804416).

342304032 is an abundant number, since it is smaller than the sum of its proper divisors (729304800).

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

342304032 is a wasteful number, since it uses less digits than its factorization.

342304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22190 (or 22182 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 342304032 is about 18501.4602666925. The cubic root of 342304032 is about 699.5262318014.

Adding to 342304032 its reverse (230403243), we get a palindrome (572707275).

The spelling of 342304032 in words is "three hundred forty-two million, three hundred four thousand, thirty-two".