7342336 has 72 divisors (see below), whose sum is σ = 16188480. Its totient is φ = 3311616.

The previous prime is 7342331. The next prime is 7342343. The reversal of 7342336 is 6332437.

It is a d-powerful number, because it can be written as 7⁸ + 3⁴ + 4¹⁰ + 2¹⁹ + 3⁷ + 3⁷ + 6³ .

It is not an unprimeable number, because it can be changed into a prime (7342331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170731 + ... + 170773.

It is an arithmetic number, because the mean of its divisors is an integer number (224840).

Almost surely, 2^7342336 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 7342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094240).

7342336 is an abundant number, since it is smaller than the sum of its proper divisors (8846144).

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

7342336 is a wasteful number, since it uses less digits than its factorization.

7342336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its digits is 9072, while the sum is 28.

The square root of 7342336 is about 2709.6745191997. The cubic root of 7342336 is about 194.3620263740.

Subtracting from 7342336 its product of digits (9072), we obtain a square (7333264 = 2708²).

The spelling of 7342336 in words is "seven million, three hundred forty-two thousand, three hundred thirty-six".