Search a number
-
+
194436 = 223211491
BaseRepresentation
bin101111011110000100
3100212201100
4233132010
522210221
64100100
71436604
oct573604
9325640
10194436
111230a0
1294630
136a668
1450c04
153c926
hex2f784

194436 has 36 divisors (see below), whose sum is σ = 537264. Its totient is φ = 58800.

The previous prime is 194431. The next prime is 194443. The reversal of 194436 is 634491.

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

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

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 194436.

It is not an unprimeable number, because it can be changed into a prime (194431) 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, 151 + ... + 641.

It is an arithmetic number, because the mean of its divisors is an integer number (14924).

2194436 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 194436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268632).

194436 is an abundant number, since it is smaller than the sum of its proper divisors (342828).

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

194436 is a wasteful number, since it uses less digits than its factorization.

194436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 507 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 194436 is about 440.9489766402. The cubic root of 194436 is about 57.9329387422.

Subtracting from 194436 its product of digits (2592), we obtain a square (191844 = 4382).

It can be divided in two parts, 194 and 436, that added together give a triangular number (630 = T35).

The spelling of 194436 in words is "one hundred ninety-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 491 982 1473 1964 2946 4419 5401 5892 8838 10802 16203 17676 21604 32406 48609 64812 97218 194436