34134300 has 216 divisors, whose sum is σ = 119429856. Its totient is φ = 8110080.

The previous prime is 34134293. The next prime is 34134307. The reversal of 34134300 is 343143.

It is an interprime number because it is at equal distance from previous prime (34134293) and next prime (34134307).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 351852 + ... + 351948.

It is an arithmetic number, because the mean of its divisors is an integer number (552916).

Almost surely, 2^34134300 is an apocalyptic number.

34134300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59714928).

34134300 is an abundant number, since it is smaller than the sum of its proper divisors (85295556).

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

34134300 is a wasteful number, since it uses less digits than its factorization.

34134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34134300 is about 5842.4566750640. The cubic root of 34134300 is about 324.3871686214.

Adding to 34134300 its reverse (343143), we get a palindrome (34477443).

The spelling of 34134300 in words is "thirty-four million, one hundred thirty-four thousand, three hundred".