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3006781 is a prime number
BaseRepresentation
bin1011011110000100111101
312122202112021
423132010331
51232204111
6144240141
734362061
oct13360475
95582467
103006781
111774048
121010051
1381377b
14583aa1
153e5d71
hex2de13d

3006781 has 2 divisors, whose sum is σ = 3006782. Its totient is φ = 3006780.

The previous prime is 3006763. The next prime is 3006791. The reversal of 3006781 is 1876003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3006756 + 25 = 1734^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 3006781 - 217 = 2875709 is a prime.

It is a super-2 number, since 2×30067812 = 18081463963922, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3006701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1503390 + 1503391.

It is an arithmetic number, because the mean of its divisors is an integer number (1503391).

Almost surely, 23006781 is an apocalyptic number.

It is an amenable number.

3006781 is a deficient number, since it is larger than the sum of its proper divisors (1).

3006781 is an equidigital number, since it uses as much as digits as its factorization.

3006781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 3006781 is about 1734.0072087509. The cubic root of 3006781 is about 144.3335407526. Note that the first 3 decimals are identical.

Subtracting from 3006781 its sum of digits (25), we obtain a square (3006756 = 17342).

The spelling of 3006781 in words is "three million, six thousand, seven hundred eighty-one".