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3013888 = 2861193
BaseRepresentation
bin1011011111110100000000
312200010021111
423133310000
51232421023
6144333104
734421563
oct13376400
95603244
103013888
111779419
121014194
13816a87
145864da
153e800d
hex2dfd00

3013888 has 36 divisors (see below), whose sum is σ = 6146308. Its totient is φ = 1474560.

The previous prime is 3013873. The next prime is 3013889. The reversal of 3013888 is 8883103.

3013888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 350464 + 2663424 = 592^2 + 1632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013889) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 15520 + ... + 15712.

Almost surely, 23013888 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 3013888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073154).

3013888 is an abundant number, since it is smaller than the sum of its proper divisors (3132420).

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

3013888 is an equidigital number, since it uses as much as digits as its factorization.

3013888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 3013888 is about 1736.0552986584. The cubic root of 3013888 is about 144.4471696177.

The spelling of 3013888 in words is "three million, thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 128 193 244 256 386 488 772 976 1544 1952 3088 3904 6176 7808 11773 12352 15616 23546 24704 47092 49408 94184 188368 376736 753472 1506944 3013888