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1704 = 23371

1704 has 16 divisors (see below), whose sum is σ = 4320. Its totient is φ = 560.

The previous prime is 1699. The next prime is 1709. The reversal of 1704 is 4071.

1704 is an esthetic number in base 14 and base 15, because in such bases its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (1699) and next prime (1709).

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

It is a plaindrome in base 14 and base 15.

It is a nialpdrome in base 12 and base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 1704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1709) 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 in 3 ways as a sum of consecutive naturals, for example, 12 + ... + 59.

It is an arithmetic number, because the mean of its divisors is an integer number (270).

It is an amenable number.

1704 is an abundant number, since it is smaller than the sum of its proper divisors (2616).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160).

1704 is a wasteful number, since it uses less digits than its factorization.

1704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 1704 is about 41.2795348811. The cubic root of 1704 is about 11.9441852397.

Adding to 1704 its reverse (4071), we get a palindrome (5775).

The spelling of 1704 in words is "one thousand, seven hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704