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968095368 = 233316072789
BaseRepresentation
bin111001101100111…
…111011010001000
32111110122100012000
4321230333122020
53440313022433
6240021351000
732663450322
oct7154773210
92443570160
10968095368
11457512419
12230268460
131257492c6
1492804612
1559ecd113
hex39b3f688

968095368 has 64 divisors (see below), whose sum is σ = 2691792000. Its totient is φ = 322382016.

The previous prime is 968095367. The next prime is 968095397. The reversal of 968095368 is 863590869.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (968095361) by changing a digit.

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, 345718 + ... + 348506.

It is an arithmetic number, because the mean of its divisors is an integer number (42059250).

Almost surely, 2968095368 is an apocalyptic number.

It is an amenable number.

968095368 is an abundant number, since it is smaller than the sum of its proper divisors (1723696632).

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

968095368 is a wasteful number, since it uses less digits than its factorization.

968095368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 968095368 is about 31114.2309562682. The cubic root of 968095368 is about 989.2499737033.

The spelling of 968095368 in words is "nine hundred sixty-eight million, ninety-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1607 2789 3214 4821 5578 6428 8367 9642 11156 12856 14463 16734 19284 22312 25101 28926 33468 38568 43389 50202 57852 66936 75303 86778 100404 115704 150606 173556 200808 301212 347112 602424 4481923 8963846 13445769 17927692 26891538 35855384 40337307 53783076 80674614 107566152 121011921 161349228 242023842 322698456 484047684 968095368