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77073349 is a prime number
BaseRepresentation
bin1001001100000…
…00101111000101
312101000201202111
410212000233011
5124212321344
611351541021
71624053433
oct446005705
9171021674
1077073349
113a562391
122198a771
1312c77242
14a343d53
156b76834
hex4980bc5

77073349 has 2 divisors, whose sum is σ = 77073350. Its totient is φ = 77073348.

The previous prime is 77073343. The next prime is 77073361. The reversal of 77073349 is 94337077.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74080449 + 2992900 = 8607^2 + 1730^2 .

It is a cyclic number.

It is not a de Polignac number, because 77073349 - 27 = 77073221 is a prime.

It is a super-2 number, since 2×770733492 = 11880602252151602, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77073343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38536674 + 38536675.

It is an arithmetic number, because the mean of its divisors is an integer number (38536675).

Almost surely, 277073349 is an apocalyptic number.

It is an amenable number.

77073349 is a deficient number, since it is larger than the sum of its proper divisors (1).

77073349 is an equidigital number, since it uses as much as digits as its factorization.

77073349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 111132, while the sum is 40.

The square root of 77073349 is about 8779.1428397082. The cubic root of 77073349 is about 425.5671302989.

The spelling of 77073349 in words is "seventy-seven million, seventy-three thousand, three hundred forty-nine".