34313400 has 144 divisors (see below), whose sum is σ = 125784360. Its totient is φ = 8313600.

The previous prime is 34313387. The next prime is 34313407. The reversal of 34313400 is 431343.

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 (34313407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18934 + ... + 20666.

Almost surely, 2^34313400 is an apocalyptic number.

34313400 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 34313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62892180).

34313400 is an abundant number, since it is smaller than the sum of its proper divisors (91470960).

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

34313400 is a wasteful number, since it uses less digits than its factorization.

34313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1754 counting only the distinct ones).

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

The square root of 34313400 is about 5857.7640785542. The cubic root of 34313400 is about 324.9535239261.

Adding to 34313400 its reverse (431343), we get a palindrome (34744743).

The spelling of 34313400 in words is "thirty-four million, three hundred thirteen thousand, four hundred".