34141344 has 48 divisors (see below), whose sum is σ = 90901440. Its totient is φ = 11217920.

The previous prime is 34141339. The next prime is 34141357. The reversal of 34141344 is 44314143.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4312 + ... + 9320.

It is an arithmetic number, because the mean of its divisors is an integer number (1893780).

Almost surely, 2^34141344 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 34141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45450720).

34141344 is an abundant number, since it is smaller than the sum of its proper divisors (56760096).

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

34141344 is a wasteful number, since it uses less digits than its factorization.

34141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5085 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 34141344 is about 5843.0594725709. The cubic root of 34141344 is about 324.4094807440.

Adding to 34141344 its reverse (44314143), we get a palindrome (78455487).

The spelling of 34141344 in words is "thirty-four million, one hundred forty-one thousand, three hundred forty-four".