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288290431 = 11132016017
BaseRepresentation
bin10001001011101…
…111011001111111
3202002110200010101
4101023233121333
51042300243211
644335021531
710100266612
oct2113573177
9662420111
10288290431
11138806960
128066a8a7
134795b070
142a406179
151a4995c1
hex112ef67f

288290431 has 8 divisors (see below), whose sum is σ = 338691024. Its totient is φ = 241921920.

The previous prime is 288290417. The next prime is 288290467. The reversal of 288290431 is 134092882.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 288290431 - 25 = 288290399 is a prime.

It is a super-2 number, since 2×2882904312 = 166222745212331522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288290411) 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 in 7 ways as a sum of consecutive naturals, for example, 1007866 + ... + 1008151.

It is an arithmetic number, because the mean of its divisors is an integer number (42336378).

Almost surely, 2288290431 is an apocalyptic number.

288290431 is a deficient number, since it is larger than the sum of its proper divisors (50400593).

288290431 is a wasteful number, since it uses less digits than its factorization.

288290431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016041.

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 288290431 is about 16979.1174976793. The cubic root of 288290431 is about 660.6073617823.

The spelling of 288290431 in words is "two hundred eighty-eight million, two hundred ninety thousand, four hundred thirty-one".

Divisors: 1 11 13 143 2016017 22176187 26208221 288290431