933342816 has 96 divisors (see below), whose sum is σ = 2811207168. Its totient is φ = 265605120.

The previous prime is 933342799. The next prime is 933342841. The reversal of 933342816 is 618243339.

933342816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×933342816² = 1742257624357619712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 174096 + ... + 179376.

It is an arithmetic number, because the mean of its divisors is an integer number (29283408).

Almost surely, 2^933342816 is an apocalyptic number.

933342816 is a gapful number since it is divisible by the number (96) 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 933342816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405603584).

933342816 is an abundant number, since it is smaller than the sum of its proper divisors (1877864352).

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

933342816 is a wasteful number, since it uses less digits than its factorization.

933342816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564 (or 5556 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 933342816 is about 30550.6598292083. The cubic root of 933342816 is about 977.2681155778.

The spelling of 933342816 in words is "nine hundred thirty-three million, three hundred forty-two thousand, eight hundred sixteen".