Search a number
-
+
3042864 = 24321117113
BaseRepresentation
bin1011100110111000110000
312201121000200
423212320300
51234332424
6145115200
734602216
oct13467060
95647020
103042864
111799170
121028b00
13827016
14592cb6
154018c9
hex2e6e30

3042864 has 120 divisors (see below), whose sum is σ = 9923472. Its totient is φ = 860160.

The previous prime is 3042857. The next prime is 3042899. The reversal of 3042864 is 4682403.

3042864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26872 + ... + 26984.

Almost surely, 23042864 is an apocalyptic number.

3042864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3042864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4961736).

3042864 is an abundant number, since it is smaller than the sum of its proper divisors (6880608).

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

3042864 is a wasteful number, since it uses less digits than its factorization.

3042864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 146 counting only the distinct ones).

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

The square root of 3042864 is about 1744.3806923949. The cubic root of 3042864 is about 144.9086066956.

The spelling of 3042864 in words is "three million, forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 113 132 136 144 153 176 187 198 204 226 264 272 306 339 374 396 408 452 528 561 612 678 748 792 816 904 1017 1122 1224 1243 1356 1496 1584 1683 1808 1921 2034 2244 2448 2486 2712 2992 3366 3729 3842 4068 4488 4972 5424 5763 6732 7458 7684 8136 8976 9944 11187 11526 13464 14916 15368 16272 17289 19888 21131 22374 23052 26928 29832 30736 34578 42262 44748 46104 59664 63393 69156 84524 89496 92208 126786 138312 169048 178992 190179 253572 276624 338096 380358 507144 760716 1014288 1521432 3042864