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306216 = 23324253
BaseRepresentation
bin1001010110000101000
3120120001100
41022300220
534244331
610321400
72413521
oct1126050
9516040
10306216
1119a079
12129260
13a94c1
147d848
1560ae6
hex4ac28

306216 has 24 divisors (see below), whose sum is σ = 829530. Its totient is φ = 102048.

The previous prime is 306209. The next prime is 306239. The reversal of 306216 is 612603.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 298116 + 8100 = 546^2 + 90^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306216.

It is an unprimeable number.

306216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 2055 + ... + 2198.

2306216 is an apocalyptic number.

306216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

306216 is an abundant number, since it is smaller than the sum of its proper divisors (523314).

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

306216 is a wasteful number, since it uses less digits than its factorization.

306216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 306216 is about 553.3678704081. The cubic root of 306216 is about 67.4024929590.

Adding to 306216 its reverse (612603), we get a palindrome (918819).

The spelling of 306216 in words is "three hundred six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4253 8506 12759 17012 25518 34024 38277 51036 76554 102072 153108 306216