40344304 has 120 divisors (see below), whose sum is σ = 106208480. Its totient is φ = 14446080.

The previous prime is 40344301. The next prime is 40344313.

It is a happy number.

40344304 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40344301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176062 + ... + 176290.

Almost surely, 2^40344304 is an apocalyptic number.

40344304 is a gapful number since it is divisible by the number (44) 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 40344304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53104240).

40344304 is an abundant number, since it is smaller than the sum of its proper divisors (65864176).

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

40344304 is a wasteful number, since it uses less digits than its factorization.

40344304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 40344304 is about 6351.7166183639. The cubic root of 40344304 is about 342.9736399091.

It can be divided in two parts, 4034 and 4304, that added together give a palindrome (8338).

The spelling of 40344304 in words is "forty million, three hundred forty-four thousand, three hundred four".