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8668368 = 2432173541
BaseRepresentation
bin100001000100…
…010011010000
3121022101202200
4201010103100
54204341433
6505443200
7133452132
oct41042320
917271680
108668368
114990745
122aa0500
131a46717
141219052
15b63613
hex8444d0

8668368 has 60 divisors (see below), whose sum is σ = 25693668. Its totient is φ = 2718720.

The previous prime is 8668367. The next prime is 8668369. The reversal of 8668368 is 8638668.

It is an interprime number because it is at equal distance from previous prime (8668367) and next prime (8668369).

It can be written as a sum of positive squares in 2 ways, for example, as 5253264 + 3415104 = 2292^2 + 1848^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8668367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 678 + ... + 4218.

Almost surely, 28668368 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 8668368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12846834).

8668368 is an abundant number, since it is smaller than the sum of its proper divisors (17025300).

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

8668368 is a wasteful number, since it uses less digits than its factorization.

8668368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3563 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 8668368 is about 2944.2092316953. The cubic root of 8668368 is about 205.4214451027.

The spelling of 8668368 in words is "eight million, six hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 3541 7082 10623 14164 21246 28328 31869 42492 56656 60197 63738 84984 120394 127476 169968 180591 240788 254952 361182 481576 509904 541773 722364 963152 1083546 1444728 2167092 2889456 4334184 8668368