42333324 has 48 divisors (see below), whose sum is σ = 109299456. Its totient is φ = 12644800.

The previous prime is 42333307. The next prime is 42333341.

42333324 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42333307) and next prime (42333341).

It is a super-2 number, since 2×42333324² = 3584220641777952, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42333294 and 42333303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7114 + ... + 11630.

It is an arithmetic number, because the mean of its divisors is an integer number (2277072).

Almost surely, 2^42333324 is an apocalyptic number.

42333324 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 42333324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54649728).

42333324 is an abundant number, since it is smaller than the sum of its proper divisors (66966132).

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

42333324 is a wasteful number, since it uses less digits than its factorization.

42333324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606 (or 4604 counting only the distinct ones).

The product of its digits is 5184, while the sum is 24.

The square root of 42333324 is about 6506.4063814059. The cubic root of 42333324 is about 348.5198005529.

It can be divided in two parts, 4233 and 3324, that added together give a palindrome (7557).

The spelling of 42333324 in words is "forty-two million, three hundred thirty-three thousand, three hundred twenty-four".