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2412 = 223267

2412 has 18 divisors (see below), whose sum is σ = 6188. Its totient is φ = 792.

The previous prime is 2411. The next prime is 2417. The reversal of 2412 is 2142.

2412 is nontrivially palindromic in base 8.

2412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 2394 and 2403.

It is not an unprimeable number, because it can be changed into a prime (2411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3 + ... + 69.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094).

2412 is an abundant number, since it is smaller than the sum of its proper divisors (3776).

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

2412 is a wasteful number, since it uses less digits than its factorization.

2412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 72 counting only the distinct ones).

The product of its digits is 16, while the sum is 9.

The square root of 2412 is about 49.1121166312. The cubic root of 2412 is about 13.4109363456.

Adding to 2412 its reverse (2142), we get a palindrome (4554).

It can be divided in two parts, 241 and 2, that added together give a 5-th power (243 = 35).

The spelling of 2412 in words is "two thousand, four hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412