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204264104 = 231123432347
BaseRepresentation
bin11000010110011…
…01001010101000
3112020100200200012
430023031022220
5404242422404
632134031052
75030134112
oct1413151250
9466320605
10204264104
11a5335710
12584a8488
133341b145
141d1b23b2
1512deca6e
hexc2cd2a8

204264104 has 64 divisors (see below), whose sum is σ = 446307840. Its totient is φ = 86708160.

The previous prime is 204264103. The next prime is 204264121. The reversal of 204264104 is 401462402.

It is a super-3 number, since 3×2042641043 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 204264104.

It is not an unprimeable number, because it can be changed into a prime (204264101) 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, 85859 + ... + 88205.

It is an arithmetic number, because the mean of its divisors is an integer number (6973560).

Almost surely, 2204264104 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 204264104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223153920).

204264104 is an abundant number, since it is smaller than the sum of its proper divisors (242043736).

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

204264104 is a wasteful number, since it uses less digits than its factorization.

204264104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 204264104 is about 14292.0993559379. The cubic root of 204264104 is about 588.9304610711.

The spelling of 204264104 in words is "two hundred four million, two hundred sixty-four thousand, one hundred four".

Divisors: 1 2 4 8 11 22 23 43 44 46 86 88 92 172 184 253 344 473 506 946 989 1012 1892 1978 2024 2347 3784 3956 4694 7912 9388 10879 18776 21758 25817 43516 51634 53981 87032 100921 103268 107962 201842 206536 215924 403684 431848 593791 807368 1110131 1187582 2220262 2321183 2375164 4440524 4642366 4750328 8881048 9284732 18569464 25533013 51066026 102132052 204264104