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880896968 = 237433591019
BaseRepresentation
bin110100100000010…
…110101111001000
32021101120012110122
4310200112233020
53301002200333
6223224402412
730554333510
oct6440265710
92241505418
10880896968
11412274a26
12207016408
13110668613
1484dc6840
1552506798
hex34816bc8

880896968 has 64 divisors (see below), whose sum is σ = 1938816000. Its totient is φ = 367359552.

The previous prime is 880896967. The next prime is 880896971. The reversal of 880896968 is 869698088.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 880896968.

It is not an unprimeable number, because it can be changed into a prime (880896967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 863963 + ... + 864981.

It is an arithmetic number, because the mean of its divisors is an integer number (30294000).

Almost surely, 2880896968 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 880896968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969408000).

880896968 is an abundant number, since it is smaller than the sum of its proper divisors (1057919032).

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

880896968 is a wasteful number, since it uses less digits than its factorization.

880896968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 62.

The square root of 880896968 is about 29679.9084904250. The cubic root of 880896968 is about 958.6094479964.

The spelling of 880896968 in words is "eight hundred eighty million, eight hundred ninety-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 359 602 718 1019 1204 1436 2038 2408 2513 2872 4076 5026 7133 8152 10052 14266 15437 20104 28532 30874 43817 57064 61748 87634 108059 123496 175268 216118 306719 350536 365821 432236 613438 731642 864472 1226876 1463284 2453752 2560747 2926568 5121494 10242988 15730303 20485976 31460606 62921212 110112121 125842424 220224242 440448484 880896968