34144 has 24 divisors (see below), whose sum is σ = 74088. Its totient is φ = 15360.

The previous prime is 34141. The next prime is 34147. The reversal of 34144 is 44143.

It is an interprime number because it is at equal distance from previous prime (34141) and next prime (34147).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34141) 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 3 ways as a sum of consecutive naturals, for example, 304 + ... + 400.

It is an arithmetic number, because the mean of its divisors is an integer number (3087).

2³⁴¹⁴⁴ 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 34144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37044).

34144 is an abundant number, since it is smaller than the sum of its proper divisors (39944).

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

34144 is a wasteful number, since it uses less digits than its factorization.

34144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its digits is 192, while the sum is 16.

The square root of 34144 is about 184.7809513992. The cubic root of 34144 is about 32.4417892922.

Adding to 34144 its reverse (44143), we get a palindrome (78287).

Subtracting 34144 from its reverse (44143), we obtain a palindrome (9999).

The spelling of 34144 in words is "thirty-four thousand, one hundred forty-four".