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3312312349 is a prime number
BaseRepresentation
bin1100010101101101…
…1110000000011101
322112211200220100011
43011123132000131
523240422443344
61304402203221
7145040122213
oct30533360035
98484626304
103312312349
11144a794325
12785353511
1340a303548
14235ca2cb3
15145bd5d34
hexc56de01d

3312312349 has 2 divisors, whose sum is σ = 3312312350. Its totient is φ = 3312312348.

The previous prime is 3312312287. The next prime is 3312312373. The reversal of 3312312349 is 9432132133.

3312312349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2932764025 + 379548324 = 54155^2 + 19482^2 .

It is a cyclic number.

It is not a de Polignac number, because 3312312349 - 223 = 3303923741 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3312312349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3312312379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1656156174 + 1656156175.

It is an arithmetic number, because the mean of its divisors is an integer number (1656156175).

Almost surely, 23312312349 is an apocalyptic number.

It is an amenable number.

3312312349 is a deficient number, since it is larger than the sum of its proper divisors (1).

3312312349 is an equidigital number, since it uses as much as digits as its factorization.

3312312349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 31.

The square root of 3312312349 is about 57552.6919353039. The cubic root of 3312312349 is about 1490.6548401593.

The spelling of 3312312349 in words is "three billion, three hundred twelve million, three hundred twelve thousand, three hundred forty-nine".