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1009233368 = 2311134121517
BaseRepresentation
bin111100001001111…
…010110111011000
32121100001100220122
4330021322313120
54031330431433
6244051212412
734003225223
oct7411726730
92540040818
101009233368
1147875aa70
12241ba7108
13131120b10
14980725ba
155d907198
hex3c27add8

1009233368 has 64 divisors (see below), whose sum is σ = 2277465120. Its totient is φ = 413107200.

The previous prime is 1009233341. The next prime is 1009233371. The reversal of 1009233368 is 8633329001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36146 + ... + 57662.

Almost surely, 21009233368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009233368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138732560).

1009233368 is an abundant number, since it is smaller than the sum of its proper divisors (1268231752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1009233368 is a wasteful number, since it uses less digits than its factorization.

1009233368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21588 (or 21584 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 1009233368 is about 31768.4335150476. The cubic root of 1009233368 is about 1003.0683648411.

The spelling of 1009233368 in words is "one billion, nine million, two hundred thirty-three thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 13 22 26 41 44 52 82 88 104 143 164 286 328 451 533 572 902 1066 1144 1804 2132 3608 4264 5863 11726 21517 23452 43034 46904 86068 172136 236687 279721 473374 559442 882197 946748 1118884 1764394 1893496 2237768 3076931 3528788 6153862 7057576 9704167 11468561 12307724 19408334 22937122 24615448 38816668 45874244 77633336 91748488 126154171 252308342 504616684 1009233368