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434581993 is a prime number
BaseRepresentation
bin11001111001110…
…011000111101001
31010021202001102101
4121321303013221
51342223110433
6111042333401
713524612616
oct3171630751
91107661371
10434581993
1120334597a
1210165a261
136c05c011
1441a0750d
152824507d
hex19e731e9

434581993 has 2 divisors, whose sum is σ = 434581994. Its totient is φ = 434581992.

The previous prime is 434581991. The next prime is 434581997. The reversal of 434581993 is 399185434.

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., 288728064 + 145853929 = 16992^2 + 12077^2 .

It is a cyclic number.

It is not a de Polignac number, because 434581993 - 21 = 434581991 is a prime.

Together with 434581991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (434581991) 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, 217290996 + 217290997.

It is an arithmetic number, because the mean of its divisors is an integer number (217290997).

Almost surely, 2434581993 is an apocalyptic number.

It is an amenable number.

434581993 is a deficient number, since it is larger than the sum of its proper divisors (1).

434581993 is an equidigital number, since it uses as much as digits as its factorization.

434581993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 466560, while the sum is 46.

The square root of 434581993 is about 20846.6302552715. The cubic root of 434581993 is about 757.4557075621.

It can be divided in two parts, 43458 and 1993, that added together give a triangular number (45451 = T301).

The spelling of 434581993 in words is "four hundred thirty-four million, five hundred eighty-one thousand, nine hundred ninety-three".