44311344 has 160 divisors (see below), whose sum is σ = 150466560. Its totient is φ = 10886400.

The previous prime is 44311327. The next prime is 44311373.

44311344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69909 + ... + 70539.

It is an arithmetic number, because the mean of its divisors is an integer number (940416).

Almost surely, 2^44311344 is an apocalyptic number.

44311344 is a gapful number since it is divisible by the number (44) 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 44311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75233280).

44311344 is an abundant number, since it is smaller than the sum of its proper divisors (106155216).

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

44311344 is a wasteful number, since it uses less digits than its factorization.

44311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 673 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 44311344 is about 6656.6766482983. The cubic root of 44311344 is about 353.8655686696.

It can be divided in two parts, 4431 and 1344, that added together give a palindrome (5775).

The spelling of 44311344 in words is "forty-four million, three hundred eleven thousand, three hundred forty-four".