13434300 has 216 divisors, whose sum is σ = 48746880. Its totient is φ = 3062400.

The previous prime is 13434299. The next prime is 13434307. The reversal of 13434300 is 343431.

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 (13434307) 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, 227671 + ... + 227729.

It is an arithmetic number, because the mean of its divisors is an integer number (225680).

Almost surely, 2^13434300 is an apocalyptic number.

13434300 is a gapful number since it is divisible by the number (10) 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 13434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

13434300 is an abundant number, since it is smaller than the sum of its proper divisors (35312580).

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

13434300 is a wasteful number, since it uses less digits than its factorization.

13434300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 103 counting only the distinct ones).

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

The square root of 13434300 is about 3665.2830722879. The cubic root of 13434300 is about 237.7232618944.

Adding to 13434300 its reverse (343431), we get a palindrome (13777731).

The spelling of 13434300 in words is "thirteen million, four hundred thirty-four thousand, three hundred".