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3287868 = 2231771227
BaseRepresentation
bin1100100010101100111100
320012001002220
430202230330
51320202433
6154245340
736642423
oct14425474
96161086
103287868
111946251
121126850
138b16ac
146182ba
1544e2b3
hex322b3c

3287868 has 48 divisors (see below), whose sum is σ = 8273664. Its totient is φ = 1012480.

The previous prime is 3287861. The next prime is 3287881. The reversal of 3287868 is 8687823.

3287868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3287861) 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, 14371 + ... + 14597.

It is an arithmetic number, because the mean of its divisors is an integer number (172368).

Almost surely, 23287868 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 3287868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136832).

3287868 is an abundant number, since it is smaller than the sum of its proper divisors (4985796).

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

3287868 is a wasteful number, since it uses less digits than its factorization.

3287868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 320 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 3287868 is about 1813.2479146548. The cubic root of 3287868 is about 148.6978849047.

The spelling of 3287868 in words is "three million, two hundred eighty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 227 284 426 454 681 852 908 1207 1362 2414 2724 3621 3859 4828 7242 7718 11577 14484 15436 16117 23154 32234 46308 48351 64468 96702 193404 273989 547978 821967 1095956 1643934 3287868