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284300128 = 2571269197
BaseRepresentation
bin10000111100100…
…001001101100000
3201210221221110101
4100330201031200
51040240101003
644113312144
710021340230
oct2074411540
9653857411
10284300128
11136530992
127b265654
1346b91a38
1429a87cc0
1519e5c11d
hex10f21360

284300128 has 24 divisors (see below), whose sum is σ = 639675792. Its totient is φ = 121842816.

The previous prime is 284300111. The next prime is 284300131. The reversal of 284300128 is 821003482.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 284300096 and 284300105.

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 3 ways as a sum of consecutive naturals, for example, 634375 + ... + 634822.

It is an arithmetic number, because the mean of its divisors is an integer number (26653158).

Almost surely, 2284300128 is an apocalyptic number.

284300128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

284300128 is an abundant number, since it is smaller than the sum of its proper divisors (355375664).

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

284300128 is a wasteful number, since it uses less digits than its factorization.

284300128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269214 (or 1269206 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 284300128 is about 16861.2018551466. The cubic root of 284300128 is about 657.5453109150.

The spelling of 284300128 in words is "two hundred eighty-four million, three hundred thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1269197 2538394 5076788 8884379 10153576 17768758 20307152 35537516 40614304 71075032 142150064 284300128