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34260554052 = 2232951682057
BaseRepresentation
bin11111111010000101…
…101001000101000100
310021102200021110210100
4133322011221011010
51030131200212202
623423350324100
72322002622144
oct377205510504
9107380243710
1034260554052
111359120a38a
126781959630
1332ccc82cba
141930224924
15d57bba41c
hex7fa169144

34260554052 has 18 divisors (see below), whose sum is σ = 86603067278. Its totient is φ = 11420184672.

The previous prime is 34260554033. The next prime is 34260554059. The reversal of 34260554052 is 25045506243.

34260554052 is a `hidden beast` number, since 3 + 4 + 2 + 60 + 5 + 540 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32972749056 + 1287804996 = 181584^2 + 35886^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 951682057 = 34260554052 / (3 + 4 + 2 + 6 + 0 + 5 + 5 + 4 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 34260553998 and 34260554016.

It is not an unprimeable number, because it can be changed into a prime (34260554059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 475840993 + ... + 475841064.

Almost surely, 234260554052 is an apocalyptic number.

It is an amenable number.

34260554052 is an abundant number, since it is smaller than the sum of its proper divisors (52342513226).

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

34260554052 is a wasteful number, since it uses less digits than its factorization.

34260554052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951682067 (or 951682062 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 34260554052 in words is "thirty-four billion, two hundred sixty million, five hundred fifty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 951682057 1903364114 2855046171 3806728228 5710092342 8565138513 11420184684 17130277026 34260554052