42345024 has 112 divisors (see below), whose sum is σ = 120164352. Its totient is φ = 13128192.

The previous prime is 42345019. The next prime is 42345029. The reversal of 42345024 is 42054324.

It is an interprime number because it is at equal distance from previous prime (42345019) and next prime (42345029).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 42344985 and 42345003.

It is not an unprimeable number, because it can be changed into a prime (42345029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189777 + ... + 189999.

It is an arithmetic number, because the mean of its divisors is an integer number (1072896).

Almost surely, 2^42345024 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 42345024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60082176).

42345024 is an abundant number, since it is smaller than the sum of its proper divisors (77819328).

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

42345024 is a wasteful number, since it uses less digits than its factorization.

42345024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 42345024 is about 6507.3054331267. The cubic root of 42345024 is about 348.5519053321.

Adding to 42345024 its reverse (42054324), we get a palindrome (84399348).

The spelling of 42345024 in words is "forty-two million, three hundred forty-five thousand, twenty-four".