1344288 has 96 divisors (see below), whose sum is σ = 4112640. Its totient is φ = 380160.

The previous prime is 1344283. The next prime is 1344311. The reversal of 1344288 is 8824431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1344288² = 3614220453888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1344283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20031 + ... + 20097.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

2^1344288 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 1344288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056320).

1344288 is an abundant number, since it is smaller than the sum of its proper divisors (2768352).

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

1344288 is a wasteful number, since it uses less digits than its factorization.

1344288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 1344288 is about 1159.4343448423. The cubic root of 1344288 is about 110.3648491328.

It can be divided in two parts, 13442 and 88, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 1344288 in words is "one million, three hundred forty-four thousand, two hundred eighty-eight".