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3688686 = 23383823
BaseRepresentation
bin1110000100100011101110
320221101221000
432010203232
51421014221
6211021130
743232121
oct16044356
96841830
103688686
11209a401
12129a7a6
139c1c71
146c03b8
154cce26
hex3848ee

3688686 has 32 divisors (see below), whose sum is σ = 8305920. Its totient is φ = 1213272.

The previous prime is 3688681. The next prime is 3688691. The reversal of 3688686 is 6868863.

3688686 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3688686 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (3688681) and next prime (3688691).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4071 + ... + 4893.

It is an arithmetic number, because the mean of its divisors is an integer number (259560).

Almost surely, 23688686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3688686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152960).

3688686 is an abundant number, since it is smaller than the sum of its proper divisors (4617234).

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

3688686 is a wasteful number, since it uses less digits than its factorization.

3688686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 911 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 3688686 is about 1920.5952202377. The cubic root of 3688686 is about 154.5102264887.

The spelling of 3688686 in words is "three million, six hundred eighty-eight thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 823 1494 1646 2241 2469 4482 4938 7407 14814 22221 44442 68309 136618 204927 409854 614781 1229562 1844343 3688686