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8305668 = 22327231433
BaseRepresentation
bin11111101011110000000100
3120121222020100
4133223300010
54111240133
6454004100
7130411530
oct37536004
916558210
108305668
114763198
122946630
13194a5c7
141162bc0
15ae0e13
hex7ebc04

8305668 has 72 divisors (see below), whose sum is σ = 25054848. Its totient is φ = 2268288.

The previous prime is 8305597. The next prime is 8305669. The reversal of 8305668 is 8665038.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8305669) 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, 5080 + ... + 6512.

It is an arithmetic number, because the mean of its divisors is an integer number (347984).

Almost surely, 28305668 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 8305668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12527424).

8305668 is an abundant number, since it is smaller than the sum of its proper divisors (16749180).

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

8305668 is a wasteful number, since it uses less digits than its factorization.

8305668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8305668 is about 2881.9555860561. The cubic root of 8305668 is about 202.5154629253.

The spelling of 8305668 in words is "eight million, three hundred five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1433 1449 1932 2866 2898 4299 5732 5796 8598 10031 12897 17196 20062 25794 30093 32959 40124 51588 60186 65918 90279 98877 120372 131836 180558 197754 230713 296631 361116 395508 461426 593262 692139 922852 1186524 1384278 2076417 2768556 4152834 8305668