Search a number
-
+
3284864 = 27112333
BaseRepresentation
bin1100100001111110000000
320011212222122
430201332000
51320103424
6154223412
736630602
oct14417600
96155878
103284864
111943a70
121124b68
138b020b
14617172
1544d45e
hex321f80

3284864 has 32 divisors (see below), whose sum is σ = 7142040. Its totient is φ = 1492480.

The previous prime is 3284857. The next prime is 3284867. The reversal of 3284864 is 4684823.

3284864 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3284867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 242 + ... + 2574.

Almost surely, 23284864 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 3284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571020).

3284864 is an abundant number, since it is smaller than the sum of its proper divisors (3857176).

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

3284864 is a wasteful number, since it uses less digits than its factorization.

3284864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2346 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 3284864 is about 1812.4193775172. The cubic root of 3284864 is about 148.6525845706.

The spelling of 3284864 in words is "three million, two hundred eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2333 4666 9332 18664 25663 37328 51326 74656 102652 149312 205304 298624 410608 821216 1642432 3284864