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768349033 is a prime number
BaseRepresentation
bin101101110011000…
…001001101101001
31222112210011201121
4231303001031221
53033144132113
6204124215241
725016600434
oct5563011551
91875704647
10768349033
11364793001
1219539a521
13c32505ca
147408a81b
15476c3e8d
hex2dcc1369

768349033 has 2 divisors, whose sum is σ = 768349034. Its totient is φ = 768349032.

The previous prime is 768349013. The next prime is 768349039. The reversal of 768349033 is 330943867.

768349033 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., 754710784 + 13638249 = 27472^2 + 3693^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-768349033 is a prime.

It is not a weakly prime, because it can be changed into another prime (768349039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384174516 + 384174517.

It is an arithmetic number, because the mean of its divisors is an integer number (384174517).

Almost surely, 2768349033 is an apocalyptic number.

It is an amenable number.

768349033 is a deficient number, since it is larger than the sum of its proper divisors (1).

768349033 is an equidigital number, since it uses as much as digits as its factorization.

768349033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 326592, while the sum is 43.

The square root of 768349033 is about 27719.1095275444. The cubic root of 768349033 is about 915.9101032561.

Adding to 768349033 its product of nonzero digits (326592), we get a square (768675625 = 277252).

The spelling of 768349033 in words is "seven hundred sixty-eight million, three hundred forty-nine thousand, thirty-three".