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990784968 = 233532333343
BaseRepresentation
bin111011000011100…
…010110111001000
32120001100002110120
4323003202313020
54012120104333
6242151543240
733360350625
oct7303426710
92501302416
10990784968
114692aa458
1223798ab20
1312a3619c4
149582d34c
155beb0db3
hex3b0e2dc8

990784968 has 64 divisors (see below), whose sum is σ = 2535287040. Its totient is φ = 322543104.

The previous prime is 990784937. The next prime is 990784979. The reversal of 990784968 is 869487099.

990784968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9907849682 = 1963309705629522048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294705 + ... + 298047.

It is an arithmetic number, because the mean of its divisors is an integer number (39613860).

Almost surely, 2990784968 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 990784968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267643520).

990784968 is an abundant number, since it is smaller than the sum of its proper divisors (1544502072).

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

990784968 is a wasteful number, since it uses less digits than its factorization.

990784968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The square root of 990784968 is about 31476.7369338056. The cubic root of 990784968 is about 996.9188388631.

The spelling of 990784968 in words is "nine hundred ninety million, seven hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 233 318 424 466 636 699 932 1272 1398 1864 2796 3343 5592 6686 10029 12349 13372 20058 24698 26744 37047 40116 49396 74094 80232 98792 148188 177179 296376 354358 531537 708716 778919 1063074 1417432 1557838 2126148 2336757 3115676 4252296 4673514 6231352 9347028 18694056 41282707 82565414 123848121 165130828 247696242 330261656 495392484 990784968