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3228048 = 243229773
BaseRepresentation
bin1100010100000110010000
320002000001100
430110012100
51311244143
6153104400
736303135
oct14240620
96060040
103228048
11190530a
1210b8100
138903b5
1460058c
1543b6d3
hex314190

3228048 has 60 divisors (see below), whose sum is σ = 9357660. Its totient is φ = 1037568.

The previous prime is 3228047. The next prime is 3228097. The reversal of 3228048 is 8408223.

It can be written as a sum of positive squares in 2 ways, for example, as 831744 + 2396304 = 912^2 + 1548^2 .

It is not an unprimeable number, because it can be changed into a prime (3228041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3790 + ... + 4562.

It is an arithmetic number, because the mean of its divisors is an integer number (155961).

Almost surely, 23228048 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 3228048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678830).

3228048 is an abundant number, since it is smaller than the sum of its proper divisors (6129612).

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

3228048 is a wasteful number, since it uses less digits than its factorization.

3228048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 807 counting only the distinct ones).

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

The square root of 3228048 is about 1796.6769325619. The cubic root of 3228048 is about 147.7905486207.

The spelling of 3228048 in words is "three million, two hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 773 1044 1392 1546 2088 2319 3092 4176 4638 6184 6957 9276 12368 13914 18552 22417 27828 37104 44834 55656 67251 89668 111312 134502 179336 201753 269004 358672 403506 538008 807012 1076016 1614024 3228048