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393147241 is a prime number
BaseRepresentation
bin10111011011101…
…111001101101001
31000101202221121221
4113123233031221
51301121202431
6103002302041
712512460604
oct2733571551
91011687557
10393147241
11191a15383
12ab7b7921
13635b2406
143a2dd33b
15247ad111
hex176ef369

393147241 has 2 divisors, whose sum is σ = 393147242. Its totient is φ = 393147240.

The previous prime is 393147197. The next prime is 393147277. The reversal of 393147241 is 142741393.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 391881616 + 1265625 = 19796^2 + 1125^2 .

It is a cyclic number.

It is not a de Polignac number, because 393147241 - 29 = 393146729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 393147197 and 393147206.

It is not a weakly prime, because it can be changed into another prime (393147541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 196573620 + 196573621.

It is an arithmetic number, because the mean of its divisors is an integer number (196573621).

Almost surely, 2393147241 is an apocalyptic number.

It is an amenable number.

393147241 is a deficient number, since it is larger than the sum of its proper divisors (1).

393147241 is an equidigital number, since it uses as much as digits as its factorization.

393147241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 34.

The square root of 393147241 is about 19827.9409167972. The cubic root of 393147241 is about 732.5744101588.

The spelling of 393147241 in words is "three hundred ninety-three million, one hundred forty-seven thousand, two hundred forty-one".