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405427434 = 231941127683
BaseRepresentation
bin11000001010100…
…101010011101010
31001020212211212220
4120022211103222
51312242134214
6104121414510
713022035116
oct3012452352
91036784786
10405427434
111989426a5
12b393a436
1365cc1ab9
143bbb8746
15258d69a9
hex182a54ea

405427434 has 64 divisors (see below), whose sum is σ = 882524160. Its totient is φ = 123742080.

The previous prime is 405427381. The next prime is 405427459. The reversal of 405427434 is 434724504.

It is a junction number, because it is equal to n+sod(n) for n = 405427395 and 405427404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593257 + ... + 593939.

It is an arithmetic number, because the mean of its divisors is an integer number (13789440).

Almost surely, 2405427434 is an apocalyptic number.

405427434 is an abundant number, since it is smaller than the sum of its proper divisors (477096726).

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

405427434 is a wasteful number, since it uses less digits than its factorization.

405427434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875.

The product of its (nonzero) digits is 53760, while the sum is 33.

The square root of 405427434 is about 20135.2286801019. The cubic root of 405427434 is about 740.1238129817.

The spelling of 405427434 in words is "four hundred five million, four hundred twenty-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 19 38 41 57 82 114 123 127 246 254 381 683 762 779 1366 1558 2049 2337 2413 4098 4674 4826 5207 7239 10414 12977 14478 15621 25954 28003 31242 38931 56006 77862 84009 86741 98933 168018 173482 197866 260223 296799 520446 532057 593598 1064114 1596171 1648079 3192342 3296158 3556381 4944237 7112762 9888474 10669143 21338286 67571239 135142478 202713717 405427434