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249306349 is a prime number
BaseRepresentation
bin11101101110000…
…01110011101101
3122101010002000111
432313001303231
51002310300344
640423300021
76115032445
oct1667016355
9571102014
10249306349
111187aa606
126b5aa611
133c85ba66
1425179125
1516d48834
hexedc1ced

249306349 has 2 divisors, whose sum is σ = 249306350. Its totient is φ = 249306348.

The previous prime is 249306341. The next prime is 249306413. The reversal of 249306349 is 943603942.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235837449 + 13468900 = 15357^2 + 3670^2 .

It is a cyclic number.

It is not a de Polignac number, because 249306349 - 23 = 249306341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (249306341) 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, 124653174 + 124653175.

It is an arithmetic number, because the mean of its divisors is an integer number (124653175).

Almost surely, 2249306349 is an apocalyptic number.

It is an amenable number.

249306349 is a deficient number, since it is larger than the sum of its proper divisors (1).

249306349 is an equidigital number, since it uses as much as digits as its factorization.

249306349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 249306349 is about 15789.4378937314. The cubic root of 249306349 is about 629.3773549283.

The spelling of 249306349 in words is "two hundred forty-nine million, three hundred six thousand, three hundred forty-nine".