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240305004345349 is a prime number
BaseRepresentation
bin110110101000111001011110…
…011010111111100000000101
31011111211221012221001011220001
4312220321132122333200011
5222444124122103022344
62211030332303241301
7101421315011500066
oct6650713632774005
91144757187034801
10240305004345349
116a62886423a419
1222b508778a9231
13a4118843a5928
14434ab77b1456d
151cbad4097ded4
hexda8e5e6bf805

240305004345349 has 2 divisors, whose sum is σ = 240305004345350. Its totient is φ = 240305004345348.

The previous prime is 240305004345229. The next prime is 240305004345409. The reversal of 240305004345349 is 943543400503042.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237782783922849 + 2522220422500 = 15420207^2 + 1588150^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-240305004345349 is a prime.

It is a super-2 number, since 2×2403050043453492 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240305004345299 and 240305004345308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (240305004345649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120152502172674 + 120152502172675.

It is an arithmetic number, because the mean of its divisors is an integer number (120152502172675).

Almost surely, 2240305004345349 is an apocalyptic number.

It is an amenable number.

240305004345349 is a deficient number, since it is larger than the sum of its proper divisors (1).

240305004345349 is an equidigital number, since it uses as much as digits as its factorization.

240305004345349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3110400, while the sum is 46.

The spelling of 240305004345349 in words is "two hundred forty trillion, three hundred five billion, four million, three hundred forty-five thousand, three hundred forty-nine".