344513312 has 96 divisors (see below), whose sum is σ = 807770880. Its totient is φ = 142571520.

The previous prime is 344513293. The next prime is 344513317. The reversal of 344513312 is 213315443.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (344513317) 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 15 ways as a sum of consecutive naturals, for example, 361028 + ... + 361980.

It is an arithmetic number, because the mean of its divisors is an integer number (8414280).

Almost surely, 2^344513312 is an apocalyptic number.

344513312 is a gapful number since it is divisible by the number (32) 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 344513312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403885440).

344513312 is an abundant number, since it is smaller than the sum of its proper divisors (463257568).

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

344513312 is a wasteful number, since it uses less digits than its factorization.

344513312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1058 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 344513312 is about 18561.0697967547. The cubic root of 344513312 is about 701.0279536513.

Adding to 344513312 its reverse (213315443), we get a palindrome (557828755).

The spelling of 344513312 in words is "three hundred forty-four million, five hundred thirteen thousand, three hundred twelve".