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3285648 = 243222817
BaseRepresentation
bin1100100010001010010000
320011221001200
430202022100
51320120043
6154231200
736633102
oct14421220
96157050
103285648
111944613
121125500
138b0692
14617572
1544d7d3
hex322290

3285648 has 30 divisors (see below), whose sum is σ = 9195654. Its totient is φ = 1095168.

The previous prime is 3285647. The next prime is 3285677. The reversal of 3285648 is 8465823.

3285648 is a `hidden beast` number, since 3 + 2 + 8 + 5 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3283344 + 2304 = 1812^2 + 48^2 .

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

It is a d-powerful number, because it can be written as 33 + 220 + 84 + 59 + 64 + 47 + 86 .

It is not an unprimeable number, because it can be changed into a prime (3285647) 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 5 ways as a sum of consecutive naturals, for example, 11265 + ... + 11552.

Almost surely, 23285648 is an apocalyptic number.

It is an amenable number.

3285648 is an abundant number, since it is smaller than the sum of its proper divisors (5910006).

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

3285648 is a wasteful number, since it uses less digits than its factorization.

3285648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22831 (or 22822 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3285648 is about 1812.6356500963. The cubic root of 3285648 is about 148.6644099568.

The spelling of 3285648 in words is "three million, two hundred eighty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 22817 45634 68451 91268 136902 182536 205353 273804 365072 410706 547608 821412 1095216 1642824 3285648