Search a number
-
+
194304 = 2831123
BaseRepresentation
bin101111011100000000
3100212112110
4233130000
522204204
64055320
71436325
oct573400
9325473
10194304
11122a90
1294540
136a596
1450b4c
153c889
hex2f700

194304 has 72 divisors (see below), whose sum is σ = 588672. Its totient is φ = 56320.

The previous prime is 194269. The next prime is 194309. The reversal of 194304 is 403491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194309) by changing a digit.

194304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8437 + ... + 8459.

It is an arithmetic number, because the mean of its divisors is an integer number (8176).

2194304 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 194304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294336).

194304 is an abundant number, since it is smaller than the sum of its proper divisors (394368).

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

194304 is a wasteful number, since it uses less digits than its factorization.

194304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 194304 is about 440.7992740466. The cubic root of 194304 is about 57.9198258086.

Adding to 194304 its reverse (403491), we get a palindrome (597795).

The spelling of 194304 in words is "one hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 256 264 276 352 368 384 506 528 552 704 736 759 768 1012 1056 1104 1408 1472 1518 2024 2112 2208 2816 2944 3036 4048 4224 4416 5888 6072 8096 8448 8832 12144 16192 17664 24288 32384 48576 64768 97152 194304