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205404342 = 231113415839
BaseRepresentation
bin11000011111000…
…11100010110110
3112022111121210020
430033203202312
5410040414332
632214310010
75042623323
oct1417434266
9468447706
10205404342
11a5a44360
1258958306
133372a140
141d3cbb4a
151307582c
hexc3e38b6

205404342 has 64 divisors (see below), whose sum is σ = 494484480. Its totient is φ = 56044800.

The previous prime is 205404341. The next prime is 205404347. The reversal of 205404342 is 243404502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205404341) 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, 32259 + ... + 38097.

It is an arithmetic number, because the mean of its divisors is an integer number (7726320).

Almost surely, 2205404342 is an apocalyptic number.

205404342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 205404342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247242240).

205404342 is an abundant number, since it is smaller than the sum of its proper divisors (289080138).

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

205404342 is a wasteful number, since it uses less digits than its factorization.

205404342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909.

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 205404342 is about 14331.9343425792. The cubic root of 205404342 is about 590.0242659750.

Adding to 205404342 its reverse (243404502), we get a palindrome (448808844).

The spelling of 205404342 in words is "two hundred five million, four hundred four thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 41 66 78 82 123 143 246 286 429 451 533 858 902 1066 1353 1599 2706 3198 5839 5863 11678 11726 17517 17589 35034 35178 64229 75907 128458 151814 192687 227721 239399 385374 455442 478798 718197 834977 1436394 1669954 2504931 2633389 3112187 5009862 5266778 6224374 7900167 9336561 15800334 18673122 34234057 68468114 102702171 205404342