344034100 has 72 divisors (see below), whose sum is σ = 796120920. Its totient is φ = 128593920.

The previous prime is 344034059. The next prime is 344034137. The reversal of 344034100 is 1430443.

It can be written as a sum of positive squares in 12 ways, for example, as 35188624 + 308845476 = 5932^2 + 17574^2 .

It is a congruent number.

It is an unprimeable number.

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, 266256 + ... + 267544.

It is an arithmetic number, because the mean of its divisors is an integer number (11057235).

Almost surely, 2^344034100 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 344034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398060460).

344034100 is an abundant number, since it is smaller than the sum of its proper divisors (452086820).

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

344034100 is a wasteful number, since it uses less digits than its factorization.

344034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1470 counting only the distinct ones).

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

The square root of 344034100 is about 18548.1562426027. The cubic root of 344034100 is about 700.7027636135.

Adding to 344034100 its reverse (1430443), we get a palindrome (345464543).

It can be divided in two parts, 34403 and 4100, that added together give a triangular number (38503 = T₂₇₇).

The spelling of 344034100 in words is "three hundred forty-four million, thirty-four thousand, one hundred".