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330234340329 = 3243384740657
BaseRepresentation
bin1001100111000111000…
…00000010001111101001
31011120101121011122121200
410303203200002033221
520402304442342304
6411412455554413
732600341402215
oct4634340021751
91146347148550
10330234340329
11118062748723
125400298ba09
13251aa91270a
1411daa74b945
1588cbb76e39
hex4ce38023e9

330234340329 has 12 divisors (see below), whose sum is σ = 478106792436. Its totient is φ = 219647780352.

The previous prime is 330234340313. The next prime is 330234340333. The reversal of 330234340329 is 923043432033.

330234340329 is a `hidden beast` number, since 3 + 302 + 3 + 4 + 340 + 3 + 2 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41249610000 + 288984730329 = 203100^2 + 537573^2 .

It is not a de Polignac number, because 330234340329 - 24 = 330234340313 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 330234340293 and 330234340302.

It is not an unprimeable number, because it can be changed into a prime (330234340349) 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 11 ways as a sum of consecutive naturals, for example, 42366432 + ... + 42374225.

It is an arithmetic number, because the mean of its divisors is an integer number (39842232703).

Almost surely, 2330234340329 is an apocalyptic number.

It is an amenable number.

330234340329 is a deficient number, since it is larger than the sum of its proper divisors (147872452107).

330234340329 is a wasteful number, since it uses less digits than its factorization.

330234340329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84741096 (or 84741093 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

The spelling of 330234340329 in words is "three hundred thirty billion, two hundred thirty-four million, three hundred forty thousand, three hundred twenty-nine".

Divisors: 1 3 9 433 1299 3897 84740657 254221971 762665913 36692704481 110078113443 330234340329