34103400 has 96 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 8995840.

The previous prime is 34103393. The next prime is 34103401. The reversal of 34103400 is 430143.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34103400.

It is not an unprimeable number, because it can be changed into a prime (34103401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67549 + ... + 68051.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 2^34103400 is an apocalyptic number.

34103400 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 34103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

34103400 is an abundant number, since it is smaller than the sum of its proper divisors (72764760).

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

34103400 is a wasteful number, since it uses less digits than its factorization.

34103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34103400 is about 5839.8116407980. The cubic root of 34103400 is about 324.2892554800.

Adding to 34103400 its reverse (430143), we get a palindrome (34533543).

The spelling of 34103400 in words is "thirty-four million, one hundred three thousand, four hundred".