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204102340 = 225131761757
BaseRepresentation
bin11000010101001…
…01101011000100
3112020001110202221
430022211223010
5404222233330
632130342124
75025561361
oct1412455304
9466043687
10204102340
11a5235122
125842a944
1333392620
141d16d468
1512db9b7a
hexc2a5ac4

204102340 has 96 divisors (see below), whose sum is σ = 497405664. Its totient is φ = 69672960.

The previous prime is 204102337. The next prime is 204102343. The reversal of 204102340 is 43201402.

204102340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204102337) and next prime (204102343).

It can be written as a sum of positive squares in 16 ways, for example, as 95609284 + 108493056 = 9778^2 + 10416^2 .

It is not an unprimeable number, because it can be changed into a prime (204102343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269242 + ... + 269998.

It is an arithmetic number, because the mean of its divisors is an integer number (5181309).

Almost surely, 2204102340 is an apocalyptic number.

204102340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248702832).

204102340 is an abundant number, since it is smaller than the sum of its proper divisors (293303324).

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

204102340 is a wasteful number, since it uses less digits than its factorization.

204102340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 204102340 is about 14286.4390244735. The cubic root of 204102340 is about 588.7749550294.

Adding to 204102340 its reverse (43201402), we get a palindrome (247303742).

The spelling of 204102340 in words is "two hundred four million, one hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 61 65 68 85 122 130 170 221 244 260 305 340 442 610 757 793 884 1037 1105 1220 1514 1586 2074 2210 3028 3172 3785 3965 4148 4420 5185 7570 7930 9841 10370 12869 13481 15140 15860 19682 20740 25738 26962 39364 46177 49205 51476 53924 64345 67405 92354 98410 128690 134810 167297 184708 196820 230885 257380 269620 334594 461770 600301 669188 785009 836485 923540 1200602 1570018 1672970 2401204 3001505 3140036 3345940 3925045 6003010 7850090 10205117 12006020 15700180 20410234 40820468 51025585 102051170 204102340