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3128868 = 22362937
BaseRepresentation
bin1011111011111000100100
312212222000000
423323320210
51300110433
6151021300
735411031
oct13737044
95788000
103128868
111847846
12106a830
13857202
145b6388
1541c113
hex2fbe24

3128868 has 84 divisors (see below), whose sum is σ = 8722140. Its totient is φ = 979776.

The previous prime is 3128849. The next prime is 3128869. The reversal of 3128868 is 8688213.

It can be written as a sum of positive squares in 2 ways, for example, as 2286144 + 842724 = 1512^2 + 918^2 .

It is a super-2 number, since 2×31288682 = 19579629922848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3128869) 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 27 ways as a sum of consecutive naturals, for example, 84546 + ... + 84582.

It is an arithmetic number, because the mean of its divisors is an integer number (103835).

Almost surely, 23128868 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 3128868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361070).

3128868 is an abundant number, since it is smaller than the sum of its proper divisors (5593272).

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

3128868 is a wasteful number, since it uses less digits than its factorization.

3128868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 3128868 is about 1768.8606502492. The cubic root of 3128868 is about 146.2611825769.

It can be divided in two parts, 312 and 8868, that added together give a triangular number (9180 = T135).

The spelling of 3128868 in words is "three million, one hundred twenty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 37 54 58 74 81 87 108 111 116 148 162 174 222 243 261 324 333 348 444 486 522 666 729 783 972 999 1044 1073 1332 1458 1566 1998 2146 2349 2916 2997 3132 3219 3996 4292 4698 5994 6438 7047 8991 9396 9657 11988 12876 14094 17982 19314 21141 26973 28188 28971 35964 38628 42282 53946 57942 84564 86913 107892 115884 173826 260739 347652 521478 782217 1042956 1564434 3128868