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342593 is a prime number
BaseRepresentation
bin1010011101001000001
3122101221122
41103221001
541430333
611202025
72624546
oct1235101
9571848
10342593
11214439
12146315
13bcc24
148cbcd
156b798
hex53a41

342593 has 2 divisors, whose sum is σ = 342594. Its totient is φ = 342592.

The previous prime is 342569. The next prime is 342599. The reversal of 342593 is 395243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 339889 + 2704 = 583^2 + 52^2 .

It is an emirp because it is prime and its reverse (395243) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 342593 - 28 = 342337 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 342593.

It is not a weakly prime, because it can be changed into another prime (342599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 171296 + 171297.

It is an arithmetic number, because the mean of its divisors is an integer number (171297).

2342593 is an apocalyptic number.

It is an amenable number.

342593 is a deficient number, since it is larger than the sum of its proper divisors (1).

342593 is an equidigital number, since it uses as much as digits as its factorization.

342593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3240, while the sum is 26.

The square root of 342593 is about 585.3144454052. The cubic root of 342593 is about 69.9723019669.

Subtracting 342593 from its reverse (395243), we obtain a triangular number (52650 = T324).

The spelling of 342593 in words is "three hundred forty-two thousand, five hundred ninety-three".