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968440224 = 25317593407
BaseRepresentation
bin111001101110010…
…011100110100000
32111111021212020110
4321232103212200
53440410041344
6240033011320
732666414613
oct7156234640
92444255213
10968440224
11457728524
122303b3b40
1312583a26b
149289417a
155a04a3b9
hex39b939a0

968440224 has 48 divisors (see below), whose sum is σ = 2691698688. Its totient is φ = 303823872.

The previous prime is 968440211. The next prime is 968440243. The reversal of 968440224 is 422044869.

968440224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×9684402242 = 1875752934922340352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295072 + ... + 298335.

It is an arithmetic number, because the mean of its divisors is an integer number (56077056).

Almost surely, 2968440224 is an apocalyptic number.

It is an amenable number.

968440224 is an abundant number, since it is smaller than the sum of its proper divisors (1723258464).

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

968440224 is a wasteful number, since it uses less digits than its factorization.

968440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593437 (or 593429 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 968440224 is about 31119.7722356704. The cubic root of 968440224 is about 989.3674236640.

The spelling of 968440224 in words is "nine hundred sixty-eight million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 593407 1186814 1780221 2373628 3560442 4747256 7120884 9494512 10087919 14241768 18989024 20175838 28483536 30263757 40351676 56967072 60527514 80703352 121055028 161406704 242110056 322813408 484220112 968440224