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284630016 = 2103118423
BaseRepresentation
bin10000111101110…
…001110000000000
3201211120200222110
4100331301300000
51040331130031
644124335320
710024213056
oct2075616000
9654520873
10284630016
11136736820
127b3a4540
1346c78c38
1429b321d6
1519ec4c46
hex10f71c00

284630016 has 88 divisors (see below), whose sum is σ = 827708544. Its totient is φ = 86241280.

The previous prime is 284630009. The next prime is 284630033. The reversal of 284630016 is 610036482.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29581 + ... + 38003.

Almost surely, 2284630016 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 284630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413854272).

284630016 is an abundant number, since it is smaller than the sum of its proper divisors (543078528).

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

284630016 is a wasteful number, since it uses less digits than its factorization.

284630016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8457 (or 8439 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 284630016 is about 16870.9814770807. The cubic root of 284630016 is about 657.7995404428.

Adding to 284630016 its reverse (610036482), we get a palindrome (894666498).

The spelling of 284630016 in words is "two hundred eighty-four million, six hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 4224 5632 8423 8448 11264 16846 16896 25269 33692 33792 50538 67384 92653 101076 134768 185306 202152 269536 277959 370612 404304 539072 555918 741224 808608 1078144 1111836 1482448 1617216 2156288 2223672 2964896 3234432 4312576 4447344 5929792 6468864 8625152 8894688 11859584 12937728 17789376 23719168 25875456 35578752 47438336 71157504 94876672 142315008 284630016