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3204864 = 283213107
BaseRepresentation
bin1100001110011100000000
320000211020200
430032130000
51310023424
6152405200
736145425
oct14163400
96024220
103204864
111899953
1210a6800
13882990
145d5d4c
154348c9
hex30e700

3204864 has 108 divisors (see below), whose sum is σ = 10044216. Its totient is φ = 976896.

The previous prime is 3204853. The next prime is 3204871. The reversal of 3204864 is 4684023.

3204864 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29899 + ... + 30005.

It is an arithmetic number, because the mean of its divisors is an integer number (93002).

Almost surely, 23204864 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 3204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022108).

3204864 is an abundant number, since it is smaller than the sum of its proper divisors (6839352).

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

3204864 is a wasteful number, since it uses less digits than its factorization.

3204864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3204864 is about 1790.2133951013. The cubic root of 3204864 is about 147.4358851866.

Adding to 3204864 its reverse (4684023), we get a palindrome (7888887).

It can be divided in two parts, 320 and 4864, that added together give a square (5184 = 722).

The spelling of 3204864 in words is "three million, two hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 107 117 128 144 156 192 208 214 234 256 288 312 321 384 416 428 468 576 624 642 768 832 856 936 963 1152 1248 1284 1391 1664 1712 1872 1926 2304 2496 2568 2782 3328 3424 3744 3852 4173 4992 5136 5564 6848 7488 7704 8346 9984 10272 11128 12519 13696 14976 15408 16692 20544 22256 25038 27392 29952 30816 33384 41088 44512 50076 61632 66768 82176 89024 100152 123264 133536 178048 200304 246528 267072 356096 400608 534144 801216 1068288 1602432 3204864