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BaseRepresentation
bin11011010000
32101121
4123100
523434
612024
75041
oct3320
92347
101744
111346
121014
13a42
148c8
157b4
hex6d0

1744 has 10 divisors (see below), whose sum is σ = 3410. Its totient is φ = 864.

The previous prime is 1741. The next prime is 1747. The reversal of 1744 is 4471.

It is a happy number.

1744 is nontrivially palindromic in base 14.

1744 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (1741) and next prime (1747).

It can be written as a sum of positive squares in only one way, i.e., 1600 + 144 = 40^2 + 12^2 .

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 109 = 1744 / (1 + 7 + 4 + 4).

1744 is an undulating number in base 14.

It is a plaindrome in base 9 and base 11.

It is a nialpdrome in base 8 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39 + ... + 70.

It is an arithmetic number, because the mean of its divisors is an integer number (341).

21744 is an apocalyptic number.

It is an amenable number.

1744 is a deficient number, since it is larger than the sum of its proper divisors (1666).

1744 is a wasteful number, since it uses less digits than its factorization.

1744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its digits is 112, while the sum is 16.

The square root of 1744 is about 41.7612260356. The cubic root of 1744 is about 12.0369233096.

Subtracting from 1744 its sum of digits (16), we obtain a cube (1728 = 123).

It can be divided in two parts, 174 and 4, that multiplied together give a palindrome (696).

The spelling of 1744 in words is "one thousand, seven hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 16 109 218 436 872 1744