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284428014 = 2313321577
BaseRepresentation
bin10000111101000…
…000011011101110
3201211012102212220
4100331000123232
51040303144024
644120140210
710022412123
oct2075003356
9654172786
10284428014
11136608a82
127b307666
1346c08000
1429abc74a
1519e84e79
hex10f406ee

284428014 has 32 divisors (see below), whose sum is σ = 616267680. Its totient is φ = 87512256.

The previous prime is 284427989. The next prime is 284428031. The reversal of 284428014 is 410824482.

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, 2394 + ... + 23970.

It is an arithmetic number, because the mean of its divisors is an integer number (19258365).

Almost surely, 2284428014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284428014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308133840).

284428014 is an abundant number, since it is smaller than the sum of its proper divisors (331839666).

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

284428014 is a wasteful number, since it uses less digits than its factorization.

284428014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21621 (or 21595 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 284428014 is about 16864.9937444400. The cubic root of 284428014 is about 657.6438901108.

The spelling of 284428014 in words is "two hundred eighty-four million, four hundred twenty-eight thousand, fourteen".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 2197 4394 6591 13182 21577 43154 64731 129462 280501 561002 841503 1683006 3646513 7293026 10939539 21879078 47404669 94809338 142214007 284428014