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204632340 = 223511310049
BaseRepresentation
bin11000011001001…
…11000100010100
3112021001101210120
430030213010110
5404341213330
632145551540
75033226513
oct1414470424
9467041716
10204632340
11a5567340
12586455b0
1333519933
141d26a67a
1512e71c10
hexc327114

204632340 has 48 divisors (see below), whose sum is σ = 625060800. Its totient is φ = 49607680.

The previous prime is 204632321. The next prime is 204632341. The reversal of 204632340 is 43236402.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 204632340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204632341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154365 + ... + 155684.

It is an arithmetic number, because the mean of its divisors is an integer number (13022100).

Almost surely, 2204632340 is an apocalyptic number.

204632340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204632340 is an abundant number, since it is smaller than the sum of its proper divisors (420428460).

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

204632340 is a wasteful number, since it uses less digits than its factorization.

204632340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310072 (or 310070 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 204632340 is about 14304.9760573026. The cubic root of 204632340 is about 589.2841456813.

Adding to 204632340 its reverse (43236402), we get a palindrome (247868742).

The spelling of 204632340 in words is "two hundred four million, six hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 310049 620098 930147 1240196 1550245 1860294 3100490 3410539 3720588 4650735 6200980 6821078 9301470 10231617 13642156 17052695 18602940 20463234 34105390 40926468 51158085 68210780 102316170 204632340