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966308441 = 71719427381
BaseRepresentation
bin111001100110001…
…011001001011001
32111100021112222112
4321212023021121
53434333332231
6235515202105
732642325530
oct7146131131
92440245875
10966308441
1145650191a
1222b746335
13125271b57
149249b317
1559c7892b
hex3998b259

966308441 has 16 divisors (see below), whose sum is σ = 1230860160. Its totient is φ = 738512640.

The previous prime is 966308429. The next prime is 966308477. The reversal of 966308441 is 144803669.

966308441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-966308441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (966308641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211430 + ... + 215951.

It is an arithmetic number, because the mean of its divisors is an integer number (76928760).

Almost surely, 2966308441 is an apocalyptic number.

It is an amenable number.

966308441 is a deficient number, since it is larger than the sum of its proper divisors (264551719).

966308441 is a wasteful number, since it uses less digits than its factorization.

966308441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427424.

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 966308441 is about 31085.5021030705. The cubic root of 966308441 is about 988.6409406505.

The spelling of 966308441 in words is "nine hundred sixty-six million, three hundred eight thousand, four hundred forty-one".

Divisors: 1 7 17 19 119 133 323 2261 427381 2991667 7265477 8120239 50858339 56841673 138044063 966308441