34140100 has 36 divisors (see below), whose sum is σ = 74503044. Its totient is φ = 13578880.

The previous prime is 34140091. The next prime is 34140101. The reversal of 34140100 is 104143.

It can be written as a sum of positive squares in 6 ways, for example, as 777924 + 33362176 = 882^2 + 5776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34140101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18834 + ... + 20566.

It is an arithmetic number, because the mean of its divisors is an integer number (2069529).

Almost surely, 2^34140100 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 34140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37251522).

34140100 is an abundant number, since it is smaller than the sum of its proper divisors (40362944).

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

34140100 is a wasteful number, since it uses less digits than its factorization.

34140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 34140100 is about 5842.9530205197. The cubic root of 34140100 is about 324.4055405525.

Adding to 34140100 its reverse (104143), we get a palindrome (34244243).

The spelling of 34140100 in words is "thirty-four million, one hundred forty thousand, one hundred".