34340 has 24 divisors (see below), whose sum is σ = 77112. Its totient is φ = 12800.

The previous prime is 34337. The next prime is 34351. The reversal of 34340 is 4343.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 17956 = 128^2 + 134^2 .

It is a plaindrome in base 11.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 290 + ... + 390.

It is an arithmetic number, because the mean of its divisors is an integer number (3213).

2³⁴³⁴⁰ 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 34340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38556).

34340 is an abundant number, since it is smaller than the sum of its proper divisors (42772).

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

34340 is a wasteful number, since it uses less digits than its factorization.

34340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 34340 is about 185.3105501584. The cubic root of 34340 is about 32.5037471025.

Adding to 34340 its reverse (4343), we get a palindrome (38683).

It can be divided in two parts, 343 and 40, that added together give a palindrome (383).

The spelling of 34340 in words is "thirty-four thousand, three hundred forty".