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288324091 = 11375912007
BaseRepresentation
bin10001001011110…
…111100111111011
3202002112101022001
4101023313213323
51042302332331
644335441431
710100500006
oct2113674773
9662471261
10288324091
1113882a180
1280686277
1347970493
142a41453d
151a4a4561
hex112f79fb

288324091 has 16 divisors (see below), whose sum is σ = 328538880. Its totient is φ = 250685280.

The previous prime is 288324041. The next prime is 288324109. The reversal of 288324091 is 190423882.

288324091 is a nontrivial binomial coefficient, being equal to C(24014, 2).

It is a 5-Lehmer number, since φ(288324091) divides (288324091-1)5.

It is a cyclic number.

It is not a de Polignac number, because 288324091 - 215 = 288291323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R288324090.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 288324091.

It is not an unprimeable number, because it can be changed into a prime (288324041) 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 15 ways as a sum of consecutive naturals, for example, 18010 + ... + 30016.

It is an arithmetic number, because the mean of its divisors is an integer number (20533680).

Almost surely, 2288324091 is an apocalyptic number.

288324091 is the 24013-rd triangular number and also the 12007-th hexagonal number.

288324091 is the 8005-th centered nonagonal number.

288324091 is a deficient number, since it is larger than the sum of its proper divisors (40214789).

288324091 is a wasteful number, since it uses less digits than its factorization.

288324091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12114.

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

The square root of 288324091 is about 16980.1086863424. The cubic root of 288324091 is about 660.6330710162.

It can be divided in two parts, 28832 and 4091, that added together give a palindrome (32923).

The spelling of 288324091 in words is "two hundred eighty-eight million, three hundred twenty-four thousand, ninety-one".

Divisors: 1 11 37 59 407 649 2183 12007 24013 132077 444259 708413 4886849 7792543 26211281 288324091