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288290417 is a prime number
BaseRepresentation
bin10001001011101…
…111011001110001
3202002110200002212
4101023233121301
51042300243132
644335021505
710100266562
oct2113573161
9662420085
10288290417
11138806948
128066a895
134795b05c
142a406169
151a4995b2
hex112ef671

288290417 has 2 divisors, whose sum is σ = 288290418. Its totient is φ = 288290416.

The previous prime is 288290413. The next prime is 288290467. The reversal of 288290417 is 714092882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 284124736 + 4165681 = 16856^2 + 2041^2 .

It is a cyclic number.

It is not a de Polignac number, because 288290417 - 22 = 288290413 is a prime.

It is a super-2 number, since 2×2882904172 = 166222729068067778, which contains 22 as substring.

It is a Chen prime.

It is equal to p15651689 and since 288290417 and 15651689 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (288290411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144145208 + 144145209.

It is an arithmetic number, because the mean of its divisors is an integer number (144145209).

Almost surely, 2288290417 is an apocalyptic number.

It is an amenable number.

288290417 is a deficient number, since it is larger than the sum of its proper divisors (1).

288290417 is an equidigital number, since it uses as much as digits as its factorization.

288290417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 288290417 is about 16979.1170854082. The cubic root of 288290417 is about 660.6073510888.

The spelling of 288290417 in words is "two hundred eighty-eight million, two hundred ninety thousand, four hundred seventeen".