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BaseRepresentation
bin101010010000
310201011
4222100
541304
620304
710612
oct5220
93634
102704
112039
121694
131300
14db2
15c04
hexa90

2704 has 15 divisors (see below), whose sum is σ = 5673. Its totient is φ = 1248.

The previous prime is 2699. The next prime is 2707. The reversal of 2704 is 4072.

Adding to 2704 its reverse (4072), we get a palindrome (6776).

2704 = T51 + T52.

The square root of 2704 is 52.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 400 + 2304 = 20^2 + 48^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a nialpdrome in base 4, base 8, base 14 and base 16.

It is not an unprimeable number, because it can be changed into a prime (2707) by changing a digit.

2704 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 202 + ... + 214.

22704 is an apocalyptic number.

2704 is the 52-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2704

2704 is an abundant number, since it is smaller than the sum of its proper divisors (2969).

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

2704 is a wasteful number, since it uses less digits than its factorization.

2704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The cubic root of 2704 is about 13.9316395358.

The spelling of 2704 in words is "two thousand, seven hundred four", and thus it is an iban number.

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704