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768137341 is a prime number
BaseRepresentation
bin101101110010001…
…101100001111101
31222112101102100011
4231302031201331
53033120343331
6204115503221
725015026316
oct5562154175
91875342304
10768137341
11364658a54
121952b7b11
13c31a814a
147403360d
15476813b1
hex2dc8d87d

768137341 has 2 divisors, whose sum is σ = 768137342. Its totient is φ = 768137340.

The previous prime is 768137329. The next prime is 768137347. The reversal of 768137341 is 143731867.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 647906116 + 120231225 = 25454^2 + 10965^2 .

It is a cyclic number.

It is not a de Polignac number, because 768137341 - 213 = 768129149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 768137294 and 768137303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (768137347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384068670 + 384068671.

It is an arithmetic number, because the mean of its divisors is an integer number (384068671).

Almost surely, 2768137341 is an apocalyptic number.

It is an amenable number.

768137341 is a deficient number, since it is larger than the sum of its proper divisors (1).

768137341 is an equidigital number, since it uses as much as digits as its factorization.

768137341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84672, while the sum is 40.

The square root of 768137341 is about 27715.2907435589. The cubic root of 768137341 is about 915.8259797469.

The spelling of 768137341 in words is "seven hundred sixty-eight million, one hundred thirty-seven thousand, three hundred forty-one".