Search a number
-
+
243324 = 2234751
BaseRepresentation
bin111011011001111100
3110100210000
4323121330
530241244
65114300
72032254
oct733174
9410700
10243324
111568a4
12b8990
13869a3
1464964
154c169
hex3b67c

243324 has 30 divisors (see below), whose sum is σ = 636944. Its totient is φ = 81000.

The previous prime is 243311. The next prime is 243343. The reversal of 243324 is 423342.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

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

It is a d-powerful number, because it can be written as 25 + 42 + 34 + 311 + 29 + 48 .

It is a junction number, because it is equal to n+sod(n) for n = 243297 and 243306.

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 243324.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 52 + ... + 699.

2243324 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 243324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318472).

243324 is an abundant number, since it is smaller than the sum of its proper divisors (393620).

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

243324 is a wasteful number, since it uses less digits than its factorization.

243324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 756 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 243324 is about 493.2788258176. The cubic root of 243324 is about 62.4302368252.

Adding to 243324 its sum of digits (18), we get a palindrome (243342).

Adding to 243324 its reverse (423342), we get a palindrome (666666).

It can be divided in two parts, 24332 and 4, that added together give a square (24336 = 1562).

The spelling of 243324 in words is "two hundred forty-three thousand, three hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 751 1502 2253 3004 4506 6759 9012 13518 20277 27036 40554 60831 81108 121662 243324