34051400 has 48 divisors (see below), whose sum is σ = 80100900. Its totient is φ = 13460480.

The previous prime is 34051397. The next prime is 34051411. The reversal of 34051400 is 415043.

It can be written as a sum of positive squares in 6 ways, for example, as 13675204 + 20376196 = 3698^2 + 4514^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16844 + ... + 18756.

Almost surely, 2^34051400 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 34051400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40050450).

34051400 is an abundant number, since it is smaller than the sum of its proper divisors (46049500).

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

34051400 is a wasteful number, since it uses less digits than its factorization.

34051400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 34051400 is about 5835.3577439605. The cubic root of 34051400 is about 324.1243489571.

Adding to 34051400 its reverse (415043), we get a palindrome (34466443).

The spelling of 34051400 in words is "thirty-four million, fifty-one thousand, four hundred".