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349008637 is a prime number
BaseRepresentation
bin10100110011010…
…111001011111101
3220022201110211211
4110303113023331
51203321234022
654344244421
711435344615
oct2463271375
9808643754
10349008637
1116a00839a
1298a70711
13573c9bb3
14344cda45
152098ee77
hex14cd72fd

349008637 has 2 divisors, whose sum is σ = 349008638. Its totient is φ = 349008636.

The previous prime is 349008607. The next prime is 349008677. The reversal of 349008637 is 736800943.

It is an a-pointer prime, because the next prime (349008677) can be obtained adding 349008637 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 307160676 + 41847961 = 17526^2 + 6469^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-349008637 is a prime.

It is equal to p18752872 and since 349008637 and 18752872 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 349008637.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (349008607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174504318 + 174504319.

It is an arithmetic number, because the mean of its divisors is an integer number (174504319).

Almost surely, 2349008637 is an apocalyptic number.

It is an amenable number.

349008637 is a deficient number, since it is larger than the sum of its proper divisors (1).

349008637 is an equidigital number, since it uses as much as digits as its factorization.

349008637 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 349008637 is about 18681.7728548444. The cubic root of 349008637 is about 704.0638695981.

The spelling of 349008637 in words is "three hundred forty-nine million, eight thousand, six hundred thirty-seven".