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3000963 = 37142903
BaseRepresentation
bin1011011100101010000011
312122110112210
423130222003
51232012323
6144153203
734336110
oct13345203
95573483
103000963
11176a739
121008803
13810c24
14581907
153e4293
hex2dca83

3000963 has 8 divisors (see below), whose sum is σ = 4572928. Its totient is φ = 1714824.

The previous prime is 3000961. The next prime is 3000967. The reversal of 3000963 is 3690003.

3000963 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3000963 - 21 = 3000961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 142903 = 3000963 / (3 + 0 + 0 + 0 + 9 + 6 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3000961) 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 7 ways as a sum of consecutive naturals, for example, 71431 + ... + 71472.

It is an arithmetic number, because the mean of its divisors is an integer number (571616).

Almost surely, 23000963 is an apocalyptic number.

3000963 is a deficient number, since it is larger than the sum of its proper divisors (1571965).

3000963 is a wasteful number, since it uses less digits than its factorization.

3000963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142913.

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 3000963 is about 1732.3287794180. The cubic root of 3000963 is about 144.2403874502.

Adding to 3000963 its reverse (3690003), we get a palindrome (6690966).

The spelling of 3000963 in words is "three million, nine hundred sixty-three", and thus it is an aban number.

Divisors: 1 3 7 21 142903 428709 1000321 3000963