34106240 has 128 divisors (see below), whose sum is σ = 97528320. Its totient is φ = 11151360.

The previous prime is 34106227. The next prime is 34106279. The reversal of 34106240 is 4260143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102875 + ... + 103205.

It is an arithmetic number, because the mean of its divisors is an integer number (761940).

Almost surely, 2^34106240 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 34106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48764160).

34106240 is an abundant number, since it is smaller than the sum of its proper divisors (63422080).

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

34106240 is a wasteful number, since it uses less digits than its factorization.

34106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 34106240 is about 5840.0547942635. The cubic root of 34106240 is about 324.2982570841.

Adding to 34106240 its reverse (4260143), we get a palindrome (38366383).

The spelling of 34106240 in words is "thirty-four million, one hundred six thousand, two hundred forty".