83442304 has 32 divisors (see below), whose sum is σ = 181347840. Its totient is φ = 37927680.

The previous prime is 83442287. The next prime is 83442313. The reversal of 83442304 is 40324438.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28224 + ... + 31039.

It is an arithmetic number, because the mean of its divisors is an integer number (5667120).

Almost surely, 2^83442304 is an apocalyptic number.

It is an amenable number.

83442304 is an abundant number, since it is smaller than the sum of its proper divisors (97905536).

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

83442304 is a wasteful number, since it uses less digits than its factorization.

83442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59288 (or 59276 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 83442304 is about 9134.6759110545. The cubic root of 83442304 is about 436.9805387323.

It can be divided in two parts, 8344 and 2304, that added together give a cube (10648 = 22³).

The spelling of 83442304 in words is "eighty-three million, four hundred forty-two thousand, three hundred four".