Search a number
-
+
234288 = 24321627
BaseRepresentation
bin111001001100110000
3102220101100
4321030300
524444123
65004400
71664025
oct711460
9386340
10234288
1115002a
12b3700
1382842
146154c
1549643
hex39330

234288 has 30 divisors (see below), whose sum is σ = 656084. Its totient is φ = 78048.

The previous prime is 234287. The next prime is 234293. The reversal of 234288 is 882432.

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

It is not an unprimeable number, because it can be changed into a prime (234281) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 670 + ... + 957.

234288 is a Friedman number, since it can be written as 22^4+8+8*3, using all its digits and the basic arithmetic operations.

2234288 is an apocalyptic number.

It is an amenable number.

234288 is an abundant number, since it is smaller than the sum of its proper divisors (421796).

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

234288 is a wasteful number, since it uses less digits than its factorization.

234288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1632 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 234288 is about 484.0330567224. The cubic root of 234288 is about 61.6476720981.

It can be divided in two parts, 23428 and 8, that added together give a triangular number (23436 = T216).

The spelling of 234288 in words is "two hundred thirty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1627 3254 4881 6508 9762 13016 14643 19524 26032 29286 39048 58572 78096 117144 234288