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3083886 = 2331323191
BaseRepresentation
bin1011110000111001101110
312210200022000
423300321232
51242141021
6150033130
735132631
oct13607156
95720260
103083886
111816a73
1210487a6
1383c8b0
145a3c18
1540db26
hex2f0e6e

3083886 has 64 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 902880.

The previous prime is 3083881. The next prime is 3083891. The reversal of 3083886 is 6883803.

3083886 is a nontrivial binomial coefficient, being equal to C(2484, 2).

It is an interprime number because it is at equal distance from previous prime (3083881) and next prime (3083891).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3083886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3083881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16051 + ... + 16241.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 23083886 is an apocalyptic number.

3083886 is the 2483-rd triangular number and also the 1242-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3083886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

3083886 is an abundant number, since it is smaller than the sum of its proper divisors (4657554).

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

3083886 is a wasteful number, since it uses less digits than its factorization.

3083886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3083886 is about 1756.0996554866. The cubic root of 3083886 is about 145.5568913456.

It can be divided in two parts, 3083 and 886, that added together give a square (3969 = 632).

The spelling of 3083886 in words is "three million, eighty-three thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 117 138 191 207 234 299 351 382 414 573 598 621 702 897 1146 1242 1719 1794 2483 2691 3438 4393 4966 5157 5382 7449 8073 8786 10314 13179 14898 16146 22347 26358 39537 44694 57109 67041 79074 114218 118611 134082 171327 237222 342654 513981 1027962 1541943 3083886