23424 has 32 divisors (see below), whose sum is σ = 63240. Its totient is φ = 7680.

The previous prime is 23417. The next prime is 23431. The reversal of 23424 is 42432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23417) and next prime (23431).

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

23424 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, 354 + ... + 414.

2^{23424} is an apocalyptic number.

23424 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 23424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31620).

23424 is an abundant number, since it is smaller than the sum of its proper divisors (39816).

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

23424 is an equidigital number, since it uses as much as digits as its factorization.

23424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 66 counting only the distinct ones).

The product of its digits is 192, while the sum is 15.

The square root of 23424 is about 153.0490117577. The cubic root of 23424 is about 28.6123603802.

Subtracting from 23424 its sum of digits (15), we obtain a square (23409 = 153^{2}).

Subtracting from 23424 its product of digits (192), we obtain a palindrome (23232).

Adding to 23424 its reverse (42432), we get a palindrome (65856).

It can be divided in two parts, 2342 and 4, that added together give a triangular number (2346 = T_{68}).

The spelling of 23424 in words is "twenty-three thousand, four hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 732 976 1464 1952 2928 3904 5856 7808 11712 23424

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