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3239028 = 223413769
BaseRepresentation
bin1100010110110001110100
320002120010000
430112301310
51312122103
6153231300
736350142
oct14266164
96076100
103239028
111912591
121102530
138953b0
14604592
1543eaa3
hex316c74

3239028 has 60 divisors (see below), whose sum is σ = 9130660. Its totient is φ = 995328.

The previous prime is 3239023. The next prime is 3239051. The reversal of 3239028 is 8209323.

3239028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 842724 + 2396304 = 918^2 + 1548^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3238992 and 3239010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3239023) 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 19 ways as a sum of consecutive naturals, for example, 3828 + ... + 4596.

Almost surely, 23239028 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 3239028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565330).

3239028 is an abundant number, since it is smaller than the sum of its proper divisors (5891632).

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

3239028 is a wasteful number, since it uses less digits than its factorization.

3239028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3239028 is about 1799.7299797470. The cubic root of 3239028 is about 147.9579257074.

It can be divided in two parts, 32 and 39028, that added together give a triangular number (39060 = T279).

The spelling of 3239028 in words is "three million, two hundred thirty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 769 1053 1404 1538 2106 2307 3076 4212 4614 6921 9228 9997 13842 19994 20763 27684 29991 39988 41526 59982 62289 83052 89973 119964 124578 179946 249156 269919 359892 539838 809757 1079676 1619514 3239028