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73780313 is a prime number
BaseRepresentation
bin1000110010111…
…00110001011001
312010211102120012
410121130301121
5122341432223
611153211305
71554056645
oct431346131
9163742505
1073780313
1138713272
1220860b35
13123933b9
149b27c25
156725c78
hex465cc59

73780313 has 2 divisors, whose sum is σ = 73780314. Its totient is φ = 73780312.

The previous prime is 73780253. The next prime is 73780319. The reversal of 73780313 is 31308737.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73753744 + 26569 = 8588^2 + 163^2 .

It is a cyclic number.

It is not a de Polignac number, because 73780313 - 212 = 73776217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73780313.

It is not a weakly prime, because it can be changed into another prime (73780319) 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, 36890156 + 36890157.

It is an arithmetic number, because the mean of its divisors is an integer number (36890157).

Almost surely, 273780313 is an apocalyptic number.

It is an amenable number.

73780313 is a deficient number, since it is larger than the sum of its proper divisors (1).

73780313 is an equidigital number, since it uses as much as digits as its factorization.

73780313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 73780313 is about 8589.5467284368. The cubic root of 73780313 is about 419.4177741380.

The spelling of 73780313 in words is "seventy-three million, seven hundred eighty thousand, three hundred thirteen".