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345857201 is a prime number
BaseRepresentation
bin10100100111010…
…101110010110001
3220002210100212222
4110213111302301
51202014412301
654152530425
711366511014
oct2447256261
9802710788
10345857201
111682556a8
12979b0a15
1356865641
1433d0d37b
152056b31b
hex149d5cb1

345857201 has 2 divisors, whose sum is σ = 345857202. Its totient is φ = 345857200.

The previous prime is 345857131. The next prime is 345857203. The reversal of 345857201 is 102758543.

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., 219069601 + 126787600 = 14801^2 + 11260^2 .

It is an emirp because it is prime and its reverse (102758543) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-345857201 is a prime.

Together with 345857203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (345857203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172928600 + 172928601.

It is an arithmetic number, because the mean of its divisors is an integer number (172928601).

Almost surely, 2345857201 is an apocalyptic number.

It is an amenable number.

345857201 is a deficient number, since it is larger than the sum of its proper divisors (1).

345857201 is an equidigital number, since it uses as much as digits as its factorization.

345857201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 345857201 is about 18597.2363807099. The cubic root of 345857201 is about 701.9383020318.

The spelling of 345857201 in words is "three hundred forty-five million, eight hundred fifty-seven thousand, two hundred one".