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990968384 = 2672211983
BaseRepresentation
bin111011000100001…
…111101001000000
32120001200102001202
4323010033221000
54012141442014
6242155520332
733362043440
oct7304175100
92501612052
10990968384
1146941523a
12237a590a8
1312a3c7333
149587a120
155beea3de
hex3b10fa40

990968384 has 28 divisors (see below), whose sum is σ = 2247375744. Its totient is φ = 424700544.

The previous prime is 990968359. The next prime is 990968387. The reversal of 990968384 is 483869099.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (990968387) 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 3 ways as a sum of consecutive naturals, for example, 1105544 + ... + 1106439.

Almost surely, 2990968384 is an apocalyptic number.

It is an amenable number.

990968384 is an abundant number, since it is smaller than the sum of its proper divisors (1256407360).

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

990968384 is a wasteful number, since it uses less digits than its factorization.

990968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212002 (or 2211992 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 56.

The square root of 990968384 is about 31479.6503157198. The cubic root of 990968384 is about 996.9803522387.

The spelling of 990968384 in words is "nine hundred ninety million, nine hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 2211983 4423966 8847932 15483881 17695864 30967762 35391728 61935524 70783456 123871048 141566912 247742096 495484192 990968384