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998376960 = 293573379
BaseRepresentation
bin111011100000100…
…000011000000000
32120120121210201110
4323200200120000
54021041030320
6243022403320
733512031000
oct7340403000
92516553643
10998376960
11472615429
1223a430540
1312babc4c9
1496848000
155c9b05e0
hex3b820600

998376960 has 320 divisors, whose sum is σ = 3731904000. Its totient is φ = 227598336.

The previous prime is 998376959. The next prime is 998376989. The reversal of 998376960 is 69673899.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 998376960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2634051 + ... + 2634429.

It is an arithmetic number, because the mean of its divisors is an integer number (11662200).

Almost surely, 2998376960 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 998376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865952000).

998376960 is an abundant number, since it is smaller than the sum of its proper divisors (2733527040).

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

998376960 is an equidigital number, since it uses as much as digits as its factorization.

998376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The square root of 998376960 is about 31597.1036647348. The cubic root of 998376960 is about 999.4586937070.

The spelling of 998376960 in words is "nine hundred ninety-eight million, three hundred seventy-six thousand, nine hundred sixty".