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284260428 = 2236711373
BaseRepresentation
bin10000111100010…
…111100001001100
3201210212221000000
4100330113201030
51040232313203
644112404300
710021113414
oct2074274114
9653787000
10284260428
11136504081
127b246690
1346b7994a
1429a77644
1519e504a3
hex10f1784c

284260428 has 84 divisors (see below), whose sum is σ = 756898128. Its totient is φ = 93350880.

The previous prime is 284260423. The next prime is 284260429. The reversal of 284260428 is 824062482.

It is a happy number.

284260428 is a `hidden beast` number, since 2 + 8 + 42 + 604 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 284260392 and 284260401.

It is not an unprimeable number, because it can be changed into a prime (284260423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 206350 + ... + 207722.

It is an arithmetic number, because the mean of its divisors is an integer number (9010692).

Almost surely, 2284260428 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 284260428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378449064).

284260428 is an abundant number, since it is smaller than the sum of its proper divisors (472637700).

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

284260428 is a wasteful number, since it uses less digits than its factorization.

284260428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 284260428 is about 16860.0245551423. The cubic root of 284260428 is about 657.5147026933.

The spelling of 284260428 in words is "two hundred eighty-four million, two hundred sixty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 243 284 324 426 486 639 729 852 972 1278 1373 1458 1917 2556 2746 2916 3834 4119 5492 5751 7668 8238 11502 12357 16476 17253 23004 24714 34506 37071 49428 51759 69012 74142 97483 103518 111213 148284 194966 207036 222426 292449 333639 389932 444852 584898 667278 877347 1000917 1169796 1334556 1754694 2001834 2632041 3509388 4003668 5264082 7896123 10528164 15792246 23688369 31584492 47376738 71065107 94753476 142130214 284260428