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285706368 = 27322341263
BaseRepresentation
bin10001000001111…
…000100010000000
3201220121101110100
4101001320202000
51041120100433
644203402400
710036315113
oct2101704200
9656541410
10285706368
11137301472
127b823400
1347264b2c
1429d3257a
151a138b13
hex11078880

285706368 has 192 divisors, whose sum is σ = 882161280. Its totient is φ = 88535040.

The previous prime is 285706367. The next prime is 285706417. The reversal of 285706368 is 863607582.

285706368 is a `hidden beast` number, since 2 + 8 + 5 + 7 + 0 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285706361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1086205 + ... + 1086467.

It is an arithmetic number, because the mean of its divisors is an integer number (4594590).

Almost surely, 2285706368 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 285706368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441080640).

285706368 is an abundant number, since it is smaller than the sum of its proper divisors (596454912).

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

285706368 is a wasteful number, since it uses less digits than its factorization.

285706368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 285706368 is about 16902.8508838006. The cubic root of 285706368 is about 658.6276719326.

The spelling of 285706368 in words is "two hundred eighty-five million, seven hundred six thousand, three hundred sixty-eight".