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284630368 = 25111276367
BaseRepresentation
bin10000111101110…
…001110101100000
3201211120201110111
4100331301311200
51040331132433
644124341104
710024214101
oct2075616540
9654521414
10284630368
11136737010
127b3a4794
1346c79149
1429b323a8
1519ec4dcd
hex10f71d60

284630368 has 48 divisors (see below), whose sum is σ = 616218624. Its totient is φ = 128338560.

The previous prime is 284630351. The next prime is 284630369. The reversal of 284630368 is 863036482.

It is a self number, because there is not a number n which added to its sum of digits gives 284630368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284630369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41521 + ... + 47887.

It is an arithmetic number, because the mean of its divisors is an integer number (12837888).

Almost surely, 2284630368 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 284630368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308109312).

284630368 is an abundant number, since it is smaller than the sum of its proper divisors (331588256).

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

284630368 is a wasteful number, since it uses less digits than its factorization.

284630368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6515 (or 6507 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 284630368 is about 16870.9919091914. The cubic root of 284630368 is about 657.7998116080.

The spelling of 284630368 in words is "two hundred eighty-four million, six hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 127 176 254 352 508 1016 1397 2032 2794 4064 5588 6367 11176 12734 22352 25468 44704 50936 70037 101872 140074 203744 280148 560296 808609 1120592 1617218 2241184 3234436 6468872 8894699 12937744 17789398 25875488 35578796 71157592 142315184 284630368