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3300340242312 = 233245838058921
BaseRepresentation
bin110000000001101011100…
…110111001011110001000
3102200111202101102101220100
4300001223212321132020
5413033044100223222
611004053321125400
7460304336123511
oct60015346713610
912614671371810
103300340242312
111062737033073
12453765329860
131ac2b3ca9509
14b5a472c5a08
155acb1c104ac
hex3006b9b9788

3300340242312 has 24 divisors (see below), whose sum is σ = 8938421489790. Its totient is φ = 1100113414080.

The previous prime is 3300340242301. The next prime is 3300340242341. The reversal of 3300340242312 is 2132420430033.

3300340242312 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 340 + 2 + 4 + 2 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3201043409316 + 99296832996 = 1789146^2 + 315114^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22919029389 + ... + 22919029532.

Almost surely, 23300340242312 is an apocalyptic number.

It is an amenable number.

3300340242312 is an abundant number, since it is smaller than the sum of its proper divisors (5638081247478).

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

3300340242312 is a wasteful number, since it uses less digits than its factorization.

3300340242312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45838058933 (or 45838058926 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 3300340242312 its reverse (2132420430033), we get a palindrome (5432760672345).

The spelling of 3300340242312 in words is "three trillion, three hundred billion, three hundred forty million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 45838058921 91676117842 137514176763 183352235684 275028353526 366704471368 412542530289 550056707052 825085060578 1100113414104 1650170121156 3300340242312