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204041344 = 2713177213
BaseRepresentation
bin11000010100101…
…10110010000000
3112012221101002211
430022112302000
5404213310334
632125151504
75025215503
oct1412266200
9465841084
10204041344
11a51a3311
12583bb594
1333370930
141d15513a
1512da6a64
hexc296c80

204041344 has 64 divisors (see below), whose sum is σ = 463571640. Its totient is φ = 88621056.

The previous prime is 204041333. The next prime is 204041353. The reversal of 204041344 is 443140402.

It can be written as a sum of positive squares in 4 ways, for example, as 190440000 + 13601344 = 13800^2 + 3688^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2040413442 = 83265740122652672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24682 + ... + 31894.

Almost surely, 2204041344 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 204041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231785820).

204041344 is an abundant number, since it is smaller than the sum of its proper divisors (259530296).

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

204041344 is a wasteful number, since it uses less digits than its factorization.

204041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7257 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 204041344 is about 14284.3041132566. The cubic root of 204041344 is about 588.7162973722.

Adding to 204041344 its reverse (443140402), we get a palindrome (647181746).

The spelling of 204041344 in words is "two hundred four million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1088 1664 1768 2176 3536 7072 7213 14144 14426 28288 28852 57704 93769 115408 122621 187538 230816 245242 375076 461632 490484 750152 923264 980968 1500304 1594073 1961936 3000608 3188146 3923872 6001216 6376292 7847744 12002432 12752584 15695488 25505168 51010336 102020672 204041344