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3082842 = 232743569
BaseRepresentation
bin1011110000101001011010
312210121212100
423300221122
51242122332
6150024230
735126610
oct13605132
95717770
103082842
111816204
121048076
1383c289
145a36b0
1540d67c
hex2f0a5a

3082842 has 48 divisors (see below), whose sum is σ = 7824960. Its totient is φ = 858816.

The previous prime is 3082841. The next prime is 3082843. The reversal of 3082842 is 2482803.

3082842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3082841) and next prime (3082843).

It is not an unprimeable number, because it can be changed into a prime (3082841) 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 23 ways as a sum of consecutive naturals, for example, 5134 + ... + 5702.

It is an arithmetic number, because the mean of its divisors is an integer number (163020).

Almost surely, 23082842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3082842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912480).

3082842 is an abundant number, since it is smaller than the sum of its proper divisors (4742118).

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

3082842 is a wasteful number, since it uses less digits than its factorization.

3082842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3082842 is about 1755.8023806796. The cubic root of 3082842 is about 145.5404641770.

The spelling of 3082842 in words is "three million, eighty-two thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 569 602 774 903 1138 1707 1806 2709 3414 3983 5121 5418 7966 10242 11949 23898 24467 35847 48934 71694 73401 146802 171269 220203 342538 440406 513807 1027614 1541421 3082842