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290608864 = 25713234339
BaseRepresentation
bin10001010100100…
…101011011100000
3202020211110102021
4101110211123200
51043343440424
644500431224
710126064110
oct2124453340
9666743367
10290608864
1113a04a817
12813a8514
1348290410
142a84b040
151a7a64e4
hex115256e0

290608864 has 96 divisors (see below), whose sum is σ = 734952960. Its totient is φ = 109942272.

The previous prime is 290608837. The next prime is 290608873. The reversal of 290608864 is 468806092.

It is a happy number.

290608864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 290608864.

It is a congruent number.

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, 64807 + ... + 69145.

It is an arithmetic number, because the mean of its divisors is an integer number (7655760).

Almost surely, 2290608864 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 290608864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367476480).

290608864 is an abundant number, since it is smaller than the sum of its proper divisors (444344096).

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

290608864 is a wasteful number, since it uses less digits than its factorization.

290608864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 290608864 is about 17047.2538550935. The cubic root of 290608864 is about 662.3735049342.

The spelling of 290608864 in words is "two hundred ninety million, six hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 91 92 104 112 161 182 184 208 224 299 322 364 368 416 598 644 728 736 1196 1288 1456 2093 2392 2576 2912 4186 4339 4784 5152 8372 8678 9568 16744 17356 30373 33488 34712 56407 60746 66976 69424 99797 112814 121492 138848 199594 225628 242984 394849 399188 451256 485968 698579 789698 798376 902512 971936 1297361 1397158 1579396 1596752 1805024 2594722 2794316 3158792 3193504 5189444 5588632 6317584 9081527 10378888 11177264 12635168 18163054 20757776 22354528 36326108 41515552 72652216 145304432 290608864