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3001909 is a prime number
BaseRepresentation
bin1011011100111000110101
312122111211211
423130320311
51232030114
6144201421
734341631
oct13347065
95574754
103001909
111770419
121009271
138114a1
14581dc1
153e46c4
hex2dce35

3001909 has 2 divisors, whose sum is σ = 3001910. Its totient is φ = 3001908.

The previous prime is 3001907. The next prime is 3001919. The reversal of 3001909 is 9091003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2480625 + 521284 = 1575^2 + 722^2 .

It is a cyclic number.

It is not a de Polignac number, because 3001909 - 21 = 3001907 is a prime.

It is a super-2 number, since 2×30019092 = 18022915288562, which contains 22 as substring.

Together with 3001907, it forms a pair of twin primes.

3001909 is a lucky number.

It is equal to p216940 and since 3001909 and 216940 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3001909.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3001907) 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, 1500954 + 1500955.

It is an arithmetic number, because the mean of its divisors is an integer number (1500955).

Almost surely, 23001909 is an apocalyptic number.

It is an amenable number.

3001909 is a deficient number, since it is larger than the sum of its proper divisors (1).

3001909 is an equidigital number, since it uses as much as digits as its factorization.

3001909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 22.

The square root of 3001909 is about 1732.6018007609. The cubic root of 3001909 is about 144.2555422601.

It can be divided in two parts, 300 and 1909, that added together give a square (2209 = 472).

The spelling of 3001909 in words is "three million, one thousand, nine hundred nine".