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405342369 = 32831633329
BaseRepresentation
bin11000001010010…
…000100010100001
31001020201112012100
4120022100202201
51312231423434
6104115521013
713021232115
oct3012204241
91036645170
10405342369
111988947a3
12b38b9169
1365c92173
143bb95745
15258bb699
hex182908a1

405342369 has 24 divisors (see below), whose sum is σ = 596363040. Its totient is φ = 265254912.

The previous prime is 405342361. The next prime is 405342433. The reversal of 405342369 is 963243504.

405342369 is a `hidden beast` number, since 40 + 534 + 23 + 69 = 666.

It is not a de Polignac number, because 405342369 - 23 = 405342361 is a prime.

It is a super-2 number, since 2×4053423692 = 328604872213064322, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (405342361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120097 + ... + 123425.

It is an arithmetic number, because the mean of its divisors is an integer number (24848460).

Almost surely, 2405342369 is an apocalyptic number.

It is an amenable number.

405342369 is a deficient number, since it is larger than the sum of its proper divisors (191020671).

405342369 is a wasteful number, since it uses less digits than its factorization.

405342369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 405342369 is about 20133.1162267544. The cubic root of 405342369 is about 740.0720461872.

The spelling of 405342369 in words is "four hundred five million, three hundred forty-two thousand, three hundred sixty-nine".

Divisors: 1 3 9 83 163 249 489 747 1467 3329 9987 13529 29961 40587 121761 276307 542627 828921 1627881 2486763 4883643 45038041 135114123 405342369