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3144 = 233131

3144 has 16 divisors (see below), whose sum is σ = 7920. Its totient is φ = 1040.

The previous prime is 3137. The next prime is 3163. The reversal of 3144 is 4413.

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

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3144.

It is an unprimeable number.

3144 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 3 ways as a sum of consecutive naturals, for example, 42 + ... + 89.

It is an arithmetic number, because the mean of its divisors is an integer number (495).

23144 is an apocalyptic number.

It is an amenable number.

3144 is an abundant number, since it is smaller than the sum of its proper divisors (4776).

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 (3960).

3144 is a wasteful number, since it uses less digits than its factorization.

3144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 136 counting only the distinct ones).

The product of its digits is 48, while the sum is 12.

The square root of 3144 is about 56.0713830755. The cubic root of 3144 is about 14.6496588893.

3144 divided by its sum of digits (12) gives a palindrome (262).

Adding to 3144 its reverse (4413), we get a palindrome (7557).

The spelling of 3144 in words is "three thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 24 131 262 393 524 786 1048 1572 3144