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968001336 = 233246728789
BaseRepresentation
bin111001101100101…
…000011100111000
32111110110120012100
4321230220130320
53440302020321
6240015343400
732662606221
oct7154503470
92443416170
10968001336
11457458805
12230221b60
13125715573
14927bc248
1559eb0326
hex39b28738

968001336 has 48 divisors (see below), whose sum is σ = 2627375400. Its totient is φ = 321964992.

The previous prime is 968001283. The next prime is 968001373. The reversal of 968001336 is 633100869.

It is a happy number.

968001336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 968001336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19230 + ... + 48018.

Almost surely, 2968001336 is an apocalyptic number.

It is an amenable number.

968001336 is an abundant number, since it is smaller than the sum of its proper divisors (1659374064).

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

968001336 is a wasteful number, since it uses less digits than its factorization.

968001336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29268 (or 29261 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 968001336 is about 31112.7198425339. The cubic root of 968001336 is about 989.2179437441.

The spelling of 968001336 in words is "nine hundred sixty-eight million, one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 467 934 1401 1868 2802 3736 4203 5604 8406 11208 16812 28789 33624 57578 86367 115156 172734 230312 259101 345468 518202 690936 1036404 2072808 13444463 26888926 40333389 53777852 80666778 107555704 121000167 161333556 242000334 322667112 484000668 968001336