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334431130034034 = 232116151127459253
BaseRepresentation
bin100110000001010011101000…
…0101101010001111101110010
31121212010022012110112222220200
41030002213100231101331302
5322313304423242042114
63143135312402220030
7130304565111045225
oct11402472055217562
91555108173488820
10334431130034034
119761849a3368a0
1231612bb0954616
131147b9494ab1b7
145c827a58495bc
15289e4c3e30409
hex13029d0b51f72

334431130034034 has 48 divisors (see below), whose sum is σ = 790486459798464. Its totient is φ = 101341115431200.

The previous prime is 334431130033981. The next prime is 334431130034083. The reversal of 334431130034034 is 430430031134433.

334431130034034 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 3 + 1 + 1 + 300 + 340 + 3 + 4 = 666.

It is a super-2 number, since 2×3344311300340342 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334431130034034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1550449 + ... + 25908804.

It is an arithmetic number, because the mean of its divisors is an integer number (16468467912468).

Almost surely, 2334431130034034 is an apocalyptic number.

334431130034034 is an abundant number, since it is smaller than the sum of its proper divisors (456055329764430).

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

334431130034034 is a wasteful number, since it uses less digits than its factorization.

334431130034034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27520783 (or 27520780 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 334431130034034 its reverse (430430031134433), we get a palindrome (764861161168467).

The spelling of 334431130034034 in words is "three hundred thirty-four trillion, four hundred thirty-one billion, one hundred thirty million, thirty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 61511 123022 184533 369066 553599 676621 1107198 1353242 2029863 4059726 6089589 12179178 27459253 54918506 82377759 164755518 247133277 302051783 494266554 604103566 906155349 1812310698 2718466047 5436932094 1689046111283 3378092222566 5067138333849 10134276667698 15201415001547 18579507224113 30402830003094 37159014448226 55738521672339 111477043344678 167215565017017 334431130034034