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3270828 = 2231171349
BaseRepresentation
bin1100011110100010101100
320011011201210
430132202230
51314131303
6154034420
736541641
oct14364254
96134653
103270828
111934470
121118a10
138a6a02
14611dc8
15449203
hex31e8ac

3270828 has 48 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 974400.

The previous prime is 3270821. The next prime is 3270829. The reversal of 3270828 is 8280723.

3270828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3270795 and 3270804.

It is not an unprimeable number, because it can be changed into a prime (3270821) 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 15 ways as a sum of consecutive naturals, for example, 9198 + ... + 9546.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 23270828 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 3270828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600).

3270828 is an abundant number, since it is smaller than the sum of its proper divisors (5196372).

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

3270828 is a wasteful number, since it uses less digits than its factorization.

3270828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3270828 is about 1808.5430600348. The cubic root of 3270828 is about 148.4405548328.

The spelling of 3270828 in words is "three million, two hundred seventy thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 349 426 698 781 852 1047 1396 1562 2094 2343 3124 3839 4188 4686 7678 9372 11517 15356 23034 24779 46068 49558 74337 99116 148674 272569 297348 545138 817707 1090276 1635414 3270828