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3724 = 227219
BaseRepresentation
bin111010001100
312002221
4322030
5104344
625124
713600
oct7214
95087
103724
112886
1221a4
131906
141500
151184
hexe8c

3724 has 18 divisors (see below), whose sum is σ = 7980. Its totient is φ = 1512.

The previous prime is 3719. The next prime is 3727. The reversal of 3724 is 4273.

Adding to 3724 its reverse (4273), we get a palindrome (7997).

It can be divided in two parts, 37 and 24, that multiplied together give a palindrome (888).

3724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3724 is an admirable number.

Its product of digits (168) is a multiple of the sum of its prime divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 3698 and 3707.

It is not an unprimeable number, because it can be changed into a prime (3727) 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, 187 + ... + 205.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990).

3724 is an abundant number, since it is smaller than the sum of its proper divisors (4256).

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

3724 is a wasteful number, since it uses less digits than its factorization.

3724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 28 counting only the distinct ones).

The product of its digits is 168, while the sum is 16.

The square root of 3724 is about 61.0245852096. The cubic root of 3724 is about 15.5001734285.

The spelling of 3724 in words is "three thousand, seven hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 931 1862 3724