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3036 = 2231123

3036 has 24 divisors (see below), whose sum is σ = 8064. Its totient is φ = 880.

The previous prime is 3023. The next prime is 3037. The reversal of 3036 is 6303.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

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

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 14.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3037) by changing a digit.

3036 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 7 ways as a sum of consecutive naturals, for example, 121 + ... + 143.

It is an arithmetic number, because the mean of its divisors is an integer number (336).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032).

3036 is an abundant number, since it is smaller than the sum of its proper divisors (5028).

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

3036 is a wasteful number, since it uses less digits than its factorization.

3036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3036 is about 55.0999092558. The cubic root of 3036 is about 14.4799564522.

3036 divided by its sum of digits (12) gives a triangular number (253 = T22).

Adding to 3036 its reverse (6303), we get a palindrome (9339).

It can be divided in two parts, 30 and 36, that added together give a palindrome (66).

The spelling of 3036 in words is "three thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036