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204664064 = 281172679
BaseRepresentation
bin11000011001011…
…10110100000000
3112021010000022112
430030232310000
5404343222224
632150354452
75033421143
oct1414566400
9467100275
10204664064
11a5589160
125865ba28
133352b1c7
141d27805a
1512e7b30e
hexc32ed00

204664064 has 36 divisors (see below), whose sum is σ = 445673760. Its totient is φ = 93027840.

The previous prime is 204664063. The next prime is 204664073. The reversal of 204664064 is 460466402.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 204664064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204664063) 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 3 ways as a sum of consecutive naturals, for example, 33524 + ... + 39155.

Almost surely, 2204664064 is an apocalyptic number.

It is an amenable number.

204664064 is an abundant number, since it is smaller than the sum of its proper divisors (241009696).

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

204664064 is an equidigital number, since it uses as much as digits as its factorization.

204664064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72706 (or 72692 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 204664064 is about 14306.0848592478. The cubic root of 204664064 is about 589.3145962025.

The spelling of 204664064 in words is "two hundred four million, six hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 72679 145358 290716 581432 799469 1162864 1598938 2325728 3197876 4651456 6395752 9302912 12791504 18605824 25583008 51166016 102332032 204664064