2306000 has 40 divisors (see below), whose sum is σ = 5580744. Its totient is φ = 921600.

The previous prime is 2305987. The next prime is 2306023. The reversal of 2306000 is 6032.

It is a happy number.

2306000 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 4 ways, for example, as 7744 + 2298256 = 88^2 + 1516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1424 + ... + 2576.

2^2306000 is an apocalyptic number.

2306000 is a gapful number since it is divisible by the number (20) 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 2306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790372).

2306000 is an abundant number, since it is smaller than the sum of its proper divisors (3274744).

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

2306000 is a wasteful number, since it uses less digits than its factorization.

2306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2306000 is about 1518.5519418183. The cubic root of 2306000 is about 132.1152956536.

Subtracting from 2306000 its reverse (6032), we obtain a cube (2299968 = 132³).

The spelling of 2306000 in words is "two million, three hundred six thousand".