34434 has 12 divisors (see below), whose sum is σ = 74646. Its totient is φ = 11472.

The previous prime is 34429. The next prime is 34439. The reversal of 34434 is 43443.

It is an interprime number because it is at equal distance from previous prime (34429) and next prime (34439).

It can be written as a sum of positive squares in only one way, i.e., 23409 + 11025 = 153^2 + 105^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1913 = 34434 / (3 + 4 + 4 + 3 + 4).

It is an Ulam number.

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34434.

It is not an unprimeable number, because it can be changed into a prime (34439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 939 + ... + 974.

2³⁴⁴³⁴ is an apocalyptic number.

34434 is an abundant number, since it is smaller than the sum of its proper divisors (40212).

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

34434 is a wasteful number, since it uses less digits than its factorization.

34434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1918 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 34434 is about 185.5640051303. The cubic root of 34434 is about 32.5333779375.

Adding to 34434 its reverse (43443), we get a palindrome (77877).

Subtracting 34434 from its reverse (43443), we obtain a palindrome (9009).

It can be divided in two parts, 344 and 34, that added together give a triangular number (378 = T₂₇).

The spelling of 34434 in words is "thirty-four thousand, four hundred thirty-four".