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998968320 = 210325719163
BaseRepresentation
bin111011100010110…
…000110000000000
32120121201211220200
4323202300300000
54021213441240
6243043205200
733520043040
oct7342606000
92517654820
10998968320
11472989759
1223a676800
1312bc6871c
149695d720
155ca7a930
hex3b8b0c00

998968320 has 528 divisors, whose sum is σ = 4189635840. Its totient is φ = 214990848.

The previous prime is 998968283. The next prime is 998968343. The reversal of 998968320 is 23869899.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6128559 + ... + 6128721.

Almost surely, 2998968320 is an apocalyptic number.

998968320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094817920).

998968320 is an abundant number, since it is smaller than the sum of its proper divisors (3190667520).

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

998968320 is a wasteful number, since it uses less digits than its factorization.

998968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 998968320 is about 31606.4600991633. The cubic root of 998968320 is about 999.6559883362.

The spelling of 998968320 in words is "nine hundred ninety-eight million, nine hundred sixty-eight thousand, three hundred twenty".