Search a number
-
+
306324 = 223267127
BaseRepresentation
bin1001010110010010100
3120120012100
41022302110
534300244
610322100
72414034
oct1126224
9516170
10306324
1119a167
12129330
13a9575
147d8c4
1560b69
hex4ac94

306324 has 36 divisors (see below), whose sum is σ = 792064. Its totient is φ = 99792.

The previous prime is 306301. The next prime is 306329. The reversal of 306324 is 423603.

306324 is a `hidden beast` number, since 30 + 632 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a d-powerful number, because it can be written as 38 + 0 + 39 + 67 + 27 + 42 .

It is a junction number, because it is equal to n+sod(n) for n = 306297 and 306306.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306324.

It is not an unprimeable number, because it can be changed into a prime (306329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2349 + ... + 2475.

2306324 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 306324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396032).

306324 is an abundant number, since it is smaller than the sum of its proper divisors (485740).

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

306324 is a wasteful number, since it uses less digits than its factorization.

306324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 306324 is about 553.4654460759. The cubic root of 306324 is about 67.4104161392.

Adding to 306324 its reverse (423603), we get a palindrome (729927).

It can be divided in two parts, 306 and 324, that added together give a triangular number (630 = T35).

The spelling of 306324 in words is "three hundred six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 127 134 201 254 268 381 402 508 603 762 804 1143 1206 1524 2286 2412 4572 8509 17018 25527 34036 51054 76581 102108 153162 306324