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321340034041 = 13292333658201
BaseRepresentation
bin1001010110100010101…
…10111100101111111001
31010201102201222002010021
410223101112330233321
520231101022042131
6403342132050441
732134051136125
oct4532126745771
91121381862107
10321340034041
11114309087774
1252340163a21
13243c101a6a0
14117a53aa585
15855adc6e11
hex4ad15bcbf9

321340034041 has 16 divisors (see below), whose sum is σ = 359528092560. Its totient is φ = 285164006400.

The previous prime is 321340034033. The next prime is 321340034053. The reversal of 321340034041 is 140430043123.

It can be written as a sum of positive squares in 8 ways, for example, as 4573681641 + 316766352400 = 67629^2 + 562820^2 .

It is not a de Polignac number, because 321340034041 - 23 = 321340034033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321340033997 and 321340034015.

It is not an unprimeable number, because it can be changed into a prime (321340035041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1741260 + ... + 1916941.

It is an arithmetic number, because the mean of its divisors is an integer number (22470505785).

Almost surely, 2321340034041 is an apocalyptic number.

It is an amenable number.

321340034041 is a deficient number, since it is larger than the sum of its proper divisors (38188058519).

321340034041 is a wasteful number, since it uses less digits than its factorization.

321340034041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658476.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 321340034041 its reverse (140430043123), we get a palindrome (461770077164).

The spelling of 321340034041 in words is "three hundred twenty-one billion, three hundred forty million, thirty-four thousand, forty-one".

Divisors: 1 13 29 233 377 3029 6757 87841 3658201 47556613 106087829 852360833 1379141777 11080690829 24718464157 321340034041