34006324 has 36 divisors (see below), whose sum is σ = 69277572. Its totient is φ = 14544640.

The previous prime is 34006303. The next prime is 34006369. The reversal of 34006324 is 42360043.

It can be written as a sum of positive squares in 2 ways, for example, as 25826724 + 8179600 = 5082^2 + 2860^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 34006295 and 34006304.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6162 + ... + 10294.

It is an arithmetic number, because the mean of its divisors is an integer number (1924377).

Almost surely, 2^34006324 is an apocalyptic number.

34006324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34006324 is an abundant number, since it is smaller than the sum of its proper divisors (35271248).

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

34006324 is a wasteful number, since it uses less digits than its factorization.

34006324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 34006324 is about 5831.4941481579. The cubic root of 34006324 is about 323.9812644757.

Adding to 34006324 its reverse (42360043), we get a palindrome (76366367).

The spelling of 34006324 in words is "thirty-four million, six thousand, three hundred twenty-four".