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290963328 = 2735711327
BaseRepresentation
bin10001010101111…
…011111110000000
3202021111110122120
4101111323332000
51043441311303
644512204240
710132101405
oct2125737600
9667443576
10290963328
1113a272067
1281539680
1348385866
142a9002ac
151a826553
hex1157bf80

290963328 has 64 divisors (see below), whose sum is σ = 774808320. Its totient is φ = 96744960.

The previous prime is 290963311. The next prime is 290963341. The reversal of 290963328 is 823369092.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 290963328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218601 + ... + 219927.

It is an arithmetic number, because the mean of its divisors is an integer number (12106380).

Almost surely, 2290963328 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 290963328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387404160).

290963328 is an abundant number, since it is smaller than the sum of its proper divisors (483844992).

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

290963328 is a wasteful number, since it uses less digits than its factorization.

290963328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 290963328 is about 17057.6472000097. The cubic root of 290963328 is about 662.6427008612.

The spelling of 290963328 in words is "two hundred ninety million, nine hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 571 1142 1327 1713 2284 2654 3426 3981 4568 5308 6852 7962 9136 10616 13704 15924 18272 21232 27408 31848 36544 42464 54816 63696 73088 84928 109632 127392 169856 219264 254784 509568 757717 1515434 2273151 3030868 4546302 6061736 9092604 12123472 18185208 24246944 36370416 48493888 72740832 96987776 145481664 290963328