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3024 = 24337
BaseRepresentation
bin101111010000
311011000
4233100
544044
622000
711550
oct5720
94130
103024
1122aa
121900
1314b8
141160
15d69
hexbd0

3024 has 40 divisors (see below), whose sum is σ = 9920. Its totient is φ = 864.

The previous prime is 3023. The next prime is 3037. The reversal of 3024 is 4203.

Adding to 3024 its reverse (4203), we get a palindrome (7227).

3024 = 23 + 33 + ... + 103.

3024 is nontrivially palindromic in base 5.

3024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 552-1.

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

It is a plaindrome in base 11.

It is a nialpdrome in base 6.

It is a zygodrome in base 6 and base 11.

It is a junction number, because it is equal to n+sod(n) for n = 2997 and 3015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 429 + ... + 435.

It is an arithmetic number, because the mean of its divisors is an integer number (248).

23024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960).

3024 is an abundant number, since it is smaller than the sum of its proper divisors (6896).

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

3024 is a wasteful number, since it uses less digits than its factorization.

3024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 3024 is about 54.9909083395. The cubic root of 3024 is about 14.4608535851.

The spelling of 3024 in words is "three thousand, twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024