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349341978564 = 223218235323063
BaseRepresentation
bin1010001010101100110…
…01111000111111000100
31020101201020120020122200
411011112121320333010
521210423021303224
6424252510554500
734145006552265
oct5052631707704
91211636506580
10349341978564
11125178492087
1257855b08a30
1326c34469527
1412ca030496c
1591493c45c9
hex5156678fc4

349341978564 has 36 divisors (see below), whose sum is σ = 883543454976. Its totient is φ = 116383427568.

The previous prime is 349341978563. The next prime is 349341978577. The reversal of 349341978564 is 465879143943.

349341978564 is a `hidden beast` number, since 3 + 4 + 93 + 419 + 78 + 5 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (349341978563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2595904 + ... + 2727159.

Almost surely, 2349341978564 is an apocalyptic number.

It is an amenable number.

349341978564 is an abundant number, since it is smaller than the sum of its proper divisors (534201476412).

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

349341978564 is a wasteful number, since it uses less digits than its factorization.

349341978564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5324896 (or 5324891 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 349341978564 in words is "three hundred forty-nine billion, three hundred forty-one million, nine hundred seventy-eight thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1823 3646 5469 7292 10938 16407 21876 32814 65628 5323063 10646126 15969189 21292252 31938378 47907567 63876756 95815134 191630268 9703943849 19407887698 29111831547 38815775396 58223663094 87335494641 116447326188 174670989282 349341978564