34102000 has 120 divisors (see below), whose sum is σ = 89079120. Its totient is φ = 12620800.

The previous prime is 34101929. The next prime is 34102001. The reversal of 34102000 is 20143.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34102001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 577971 + ... + 578029.

It is an arithmetic number, because the mean of its divisors is an integer number (742326).

Almost surely, 2^34102000 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 34102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44539560).

34102000 is an abundant number, since it is smaller than the sum of its proper divisors (54977120).

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

34102000 is a wasteful number, since it uses less digits than its factorization.

34102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 34102000 is about 5839.6917726880. The cubic root of 34102000 is about 324.2848178856.

Adding to 34102000 its reverse (20143), we get a palindrome (34122143).

The spelling of 34102000 in words is "thirty-four million, one hundred two thousand".