23400384 has 112 divisors (see below), whose sum is σ = 73932288. Its totient is φ = 6386688.

The previous prime is 23400367. The next prime is 23400389. The reversal of 23400384 is 48300432.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23400389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30534 + ... + 31290.

Almost surely, 2^23400384 is an apocalyptic number.

23400384 is a gapful number since it is divisible by the number (24) 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 23400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36966144).

23400384 is an abundant number, since it is smaller than the sum of its proper divisors (50531904).

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

23400384 is a wasteful number, since it uses less digits than its factorization.

23400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 23400384 is about 4837.3943399314. The cubic root of 23400384 is about 286.0274151756.

The spelling of 23400384 in words is "twenty-three million, four hundred thousand, three hundred eighty-four".