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1344 = 2637
BaseRepresentation
bin10101000000
31211210
4111000
520334
610120
73630
oct2500
91753
101344
111012
12940
137c5
146c0
155e9
hex540

1344 has 28 divisors (see below), whose sum is σ = 4064. Its totient is φ = 384.

The previous prime is 1327. The next prime is 1361. The reversal of 1344 is 4431.

Subtracting from 1344 its product of digits (48), we obtain a 4-th power (1296 = 64).

1344 divided by its product of digits (48) gives a triangular number (28 = T7).

Adding to 1344 its reverse (4431), we get a palindrome (5775).

1344 = T16 + T17 + ... + T22.

1344 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (1327) and next prime (1361).

It is a tau number, because it is divible by the number of its divisors (28).

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a lonely number, since its distance to closest prime (1361) sets a new record.

Its product of digits (48) is a multiple of the sum of its prime divisors (12).

It is a plaindrome in base 10.

It is a nialpdrome in base 4, base 12 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 189 + ... + 195.

1344 is a gapful number since it is divisible by the number (14) 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 1344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032).

1344 is an abundant number, since it is smaller than the sum of its proper divisors (2720).

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

1344 is an equidigital number, since it uses as much as digits as its factorization.

1344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22 (or 12 counting only the distinct ones).

The product of its digits is 48, while the sum is 12.

The square root of 1344 is about 36.6606055596. The cubic root of 1344 is about 11.0356967055.

The spelling of 1344 in words is "one thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344