Search a number
-
+
234684 = 22334153
BaseRepresentation
bin111001010010111100
3102220221000
4321102330
530002214
65010300
71665132
oct712274
9386830
10234684
1115035a
12b3990
1382a88
1461752
1549809
hex394bc

234684 has 48 divisors (see below), whose sum is σ = 635040. Its totient is φ = 74880.

The previous prime is 234683. The next prime is 234713. The reversal of 234684 is 486432.

234684 = 213 + 223 + ... + 323.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4402 + ... + 4454.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2234684 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 234684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

234684 is an abundant number, since it is smaller than the sum of its proper divisors (400356).

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

234684 is a wasteful number, since it uses less digits than its factorization.

234684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 99 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 234684 is about 484.4419469864. The cubic root of 234684 is about 61.6823854094.

The spelling of 234684 in words is "two hundred thirty-four thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 53 54 82 106 108 123 159 164 212 246 318 369 477 492 636 738 954 1107 1431 1476 1908 2173 2214 2862 4346 4428 5724 6519 8692 13038 19557 26076 39114 58671 78228 117342 234684