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3022728 = 2332943101
BaseRepresentation
bin1011100001111110001000
312200120101220
423201332020
51233211403
6144442040
734456422
oct13417610
95616356
103022728
111785025
121019320
1381aac7
14589812
153ea953
hex2e1f88

3022728 has 64 divisors (see below), whose sum is σ = 8078400. Its totient is φ = 940800.

The previous prime is 3022697. The next prime is 3022751. The reversal of 3022728 is 8272203.

3022728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 313 + 0 + 22 + 25 + 76 + 220 + 86 .

It is a junction number, because it is equal to n+sod(n) for n = 3022698 and 3022707.

It is an unprimeable number.

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, 29878 + ... + 29978.

It is an arithmetic number, because the mean of its divisors is an integer number (126225).

Almost surely, 23022728 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 3022728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039200).

3022728 is an abundant number, since it is smaller than the sum of its proper divisors (5055672).

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

3022728 is a wasteful number, since it uses less digits than its factorization.

3022728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3022728 is about 1738.5994363280. The cubic root of 3022728 is about 144.5882572069.

The spelling of 3022728 in words is "three million, twenty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 86 87 101 116 129 172 174 202 232 258 303 344 348 404 516 606 696 808 1032 1212 1247 2424 2494 2929 3741 4343 4988 5858 7482 8686 8787 9976 11716 13029 14964 17372 17574 23432 26058 29928 34744 35148 52116 70296 104232 125947 251894 377841 503788 755682 1007576 1511364 3022728