Search a number
3208 = 23401
BaseRepresentation
bin110010001000
311101211
4302020
5100313
622504
712232
oct6210
94354
103208
112457
121a34
1315ca
141252
15e3d
hexc88

3208 has 8 divisors (see below), whose sum is σ = 6030. Its totient is φ = 1600.

The previous prime is 3203. The next prime is 3209. The reversal of 3208 is 8023.

It can be written as a sum of positive squares in only one way, i.e., 1764 + 1444 = 42^2 + 38^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 11.

It is a nialpdrome in base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (3203) by changing a digit.

3208 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 as a sum of consecutive naturals, namely, 193 + ... + 208.

23208 is an apocalyptic number.

It is an amenable number.

3208 is a deficient number, since it is larger than the sum of its proper divisors (2822).

3208 is a wasteful number, since it uses less digits than its factorization.

3208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3208 is about 56.6392090340. The cubic root of 3208 is about 14.7483958803.

Subtracting from 3208 its product of nonzero digits (48), we obtain a triangular number (3160 = T79).

The spelling of 3208 in words is "three thousand, two hundred eight".

Divisors: 1 2 4 8 401 802 1604 3208