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1044 = 223229
BaseRepresentation
bin10000010100
31102200
4100110
513134
64500
73021
oct2024
91380
101044
1186a
12730
13624
14548
15499
hex414

1044 has 18 divisors (see below), whose sum is σ = 2730. Its totient is φ = 336.

The previous prime is 1039. The next prime is 1049. The reversal of 1044 is 4401.

Adding to 1044 its reverse (4401), we get a palindrome (5445).

1044 = T12 + T13 + ... + T19.

1044 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (1039) and next prime (1049).

It can be written as a sum of positive squares in only one way, i.e., 900 + 144 = 30^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

1044 is an undulating number in base 16.

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1049) by changing a digit.

1044 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 22 + ... + 50.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365).

1044 is an abundant number, since it is smaller than the sum of its proper divisors (1686).

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

1044 is a wasteful number, since it uses less digits than its factorization.

1044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1044 is about 32.3109888428. The cubic root of 1044 is about 10.1445666440.

The spelling of 1044 in words is "one thousand, forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044