344340100 has 72 divisors (see below), whose sum is σ = 852086088. Its totient is φ = 119654400.

The previous prime is 344340091. The next prime is 344340109. The reversal of 344340100 is 1043443.

It is an interprime number because it is at equal distance from previous prime (344340091) and next prime (344340109).

It can be written as a sum of positive squares in 12 ways, for example, as 136749636 + 207590464 = 11694^2 + 14408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344340109) 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 23 ways as a sum of consecutive naturals, for example, 14310 + ... + 29890.

It is an arithmetic number, because the mean of its divisors is an integer number (11834529).

Almost surely, 2^344340100 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 344340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426043044).

344340100 is an abundant number, since it is smaller than the sum of its proper divisors (507745988).

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

344340100 is a wasteful number, since it uses less digits than its factorization.

344340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15625 (or 15618 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 344340100 is about 18556.4032075184. The cubic root of 344340100 is about 700.9104479746.

Adding to 344340100 its reverse (1043443), we get a palindrome (345383543).

The spelling of 344340100 in words is "three hundred forty-four million, three hundred forty thousand, one hundred".