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3276864 = 26325689
BaseRepresentation
bin1100100000000001000000
320011111000100
430200001000
51314324424
6154122400
736565353
oct14400100
96144010
103276864
111938a58
121120400
138a9696
1461429a
1544adc9
hex320040

3276864 has 42 divisors (see below), whose sum is σ = 9394190. Its totient is φ = 1092096.

The previous prime is 3276853. The next prime is 3276881. The reversal of 3276864 is 4686723.

It can be written as a sum of positive squares in only one way, i.e., 3240000 + 36864 = 1800^2 + 192^2 .

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 313 + 211 + 73 + 6 + 83 + 68 + 42 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2269 + ... + 3420.

Almost surely, 23276864 is an apocalyptic number.

It is an amenable number.

3276864 is an abundant number, since it is smaller than the sum of its proper divisors (6117326).

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

3276864 is a wasteful number, since it uses less digits than its factorization.

3276864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5707 (or 5694 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3276864 is about 1810.2110374208. The cubic root of 3276864 is about 148.5318096670.

It can be divided in two parts, 32768 and 64, that multiplied together give a 21-st power (2097152 = 221).

The spelling of 3276864 in words is "three million, two hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 5689 11378 17067 22756 34134 45512 51201 68268 91024 102402 136536 182048 204804 273072 364096 409608 546144 819216 1092288 1638432 3276864