40304 has 20 divisors (see below), whose sum is σ = 85560. Its totient is φ = 18240.

The previous prime is 40289. The next prime is 40343.

40304 = T₃₂ + T₃₃ + ... + T₆₄.

40304 is nontrivially palindromic in base 10.

40304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is an unprimeable number.

40304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62 + ... + 290.

It is an arithmetic number, because the mean of its divisors is an integer number (4278).

2⁴⁰³⁰⁴ is an apocalyptic number.

40304 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 40304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42780).

40304 is an abundant number, since it is smaller than the sum of its proper divisors (45256).

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

40304 is a wasteful number, since it uses less digits than its factorization.

40304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 40304 is about 200.7585614613. The cubic root of 40304 is about 34.2859391520.

Multiplying 40304 by its sum of digits (11), we get a palindrome (443344).

The spelling of 40304 in words is "forty thousand, three hundred four", and thus it is an iban number.