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305648137 is a prime number
BaseRepresentation
bin10010001101111…
…101001000001001
3210022010112102101
4102031331020021
51111221220022
650155033401
710400652304
oct2215751011
9708115371
10305648137
11147591a73
128643b861
134b4278b2
142c843b3b
151bc77627
hex1237d209

305648137 has 2 divisors, whose sum is σ = 305648138. Its totient is φ = 305648136.

The previous prime is 305648131. The next prime is 305648141. The reversal of 305648137 is 731846503.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213276816 + 92371321 = 14604^2 + 9611^2 .

It is a cyclic number.

It is not a de Polignac number, because 305648137 - 227 = 171430409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 305648096 and 305648105.

It is not a weakly prime, because it can be changed into another prime (305648131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152824068 + 152824069.

It is an arithmetic number, because the mean of its divisors is an integer number (152824069).

Almost surely, 2305648137 is an apocalyptic number.

It is an amenable number.

305648137 is a deficient number, since it is larger than the sum of its proper divisors (1).

305648137 is an equidigital number, since it uses as much as digits as its factorization.

305648137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 305648137 is about 17482.7954572488. The cubic root of 305648137 is about 673.6080227201.

The spelling of 305648137 in words is "three hundred five million, six hundred forty-eight thousand, one hundred thirty-seven".