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204211434 = 237231791181
BaseRepresentation
bin11000010110000…
…00010011101010
3112020021000102110
430023000103222
5404234231214
632132543150
75026524420
oct1413002352
9466230373
10204211434
11a52aa089
1258481ab6
133340018b
141d19b110
1512ddc159
hexc2c04ea

204211434 has 64 divisors (see below), whose sum is σ = 490199040. Its totient is φ = 55450560.

The previous prime is 204211409. The next prime is 204211451. The reversal of 204211434 is 434112402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 204211434.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 172324 + ... + 173504.

It is an arithmetic number, because the mean of its divisors is an integer number (7659360).

Almost surely, 2204211434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204211434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245099520).

204211434 is an abundant number, since it is smaller than the sum of its proper divisors (285987606).

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

204211434 is a wasteful number, since it uses less digits than its factorization.

204211434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 204211434 is about 14290.2566107121. The cubic root of 204211434 is about 588.8798376653.

Adding to 204211434 its reverse (434112402), we get a palindrome (638323836).

The spelling of 204211434 in words is "two hundred four million, two hundred eleven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 179 322 358 483 537 966 1074 1181 1253 2362 2506 3543 3759 4117 7086 7518 8234 8267 12351 16534 24702 24801 27163 28819 49602 54326 57638 81489 86457 162978 172914 190141 211399 380282 422798 570423 634197 1140846 1268394 1479793 2959586 4439379 4862177 8878758 9724354 14586531 29173062 34035239 68070478 102105717 204211434