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3190 = 251129

3190 has 16 divisors (see below), whose sum is σ = 6480. Its totient is φ = 1120.

The previous prime is 3187. The next prime is 3191. The reversal of 3190 is 913.

It is a happy number.

3190 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×31902 = 20352200, which contains 22 as substring.

3190 is an undulating number in base 12.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3190.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96 + ... + 124.

It is an arithmetic number, because the mean of its divisors is an integer number (405).

23190 is an apocalyptic number.

3190 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (3240).

3190 is a wasteful number, since it uses less digits than its factorization.

3190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 3190 is about 56.4800849858. The cubic root of 3190 is about 14.7207598458.

It can be divided in two parts, 31 and 90, that added together give a palindrome (121).

The spelling of 3190 in words is "three thousand, one hundred ninety".

Divisors: 1 2 5 10 11 22 29 55 58 110 145 290 319 638 1595 3190