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8284068 = 22321331571
BaseRepresentation
bin11111100110011110100100
3120120212121100
4133212132210
54110042233
6453320100
7130261542
oct37463644
916525540
108284068
114748a41
122936030
131940820
141158d92
15ad9813
hex7e67a4

8284068 has 72 divisors (see below), whose sum is σ = 23319296. Its totient is φ = 2462400.

The previous prime is 8284063. The next prime is 8284069. The reversal of 8284068 is 8604828.

8284068 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (8284061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14223 + ... + 14793.

Almost surely, 28284068 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 8284068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11659648).

8284068 is an abundant number, since it is smaller than the sum of its proper divisors (15035228).

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

8284068 is a wasteful number, since it uses less digits than its factorization.

8284068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8284068 is about 2878.2056910513. The cubic root of 8284068 is about 202.3397543409.

The spelling of 8284068 in words is "eight million, two hundred eighty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 571 806 1116 1142 1209 1612 1713 2284 2418 3426 3627 4836 5139 6852 7254 7423 10278 14508 14846 17701 20556 22269 29692 35402 44538 53103 66807 70804 89076 106206 133614 159309 212412 230113 267228 318618 460226 637236 690339 920452 1380678 2071017 2761356 4142034 8284068