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4340400041 is a prime number
BaseRepresentation
bin1000000101011010…
…10011111110101001
3102012111020011112002
410002231103332221
532342120300131
61554405500345
7212362535345
oct40255237651
912174204462
104340400041
11192805187a
12a117116b5
135422c6163
142d2642625
151a60b46cb
hex102b53fa9

4340400041 has 2 divisors, whose sum is σ = 4340400042. Its totient is φ = 4340400040.

The previous prime is 4340400017. The next prime is 4340400079. The reversal of 4340400041 is 1400040434.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3735043225 + 605356816 = 61115^2 + 24604^2 .

It is a cyclic number.

It is not a de Polignac number, because 4340400041 - 222 = 4336205737 is a prime.

It is a super-3 number, since 3×43404000413 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4340399986 and 4340400022.

It is not a weakly prime, because it can be changed into another prime (4340400941) 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 as a sum of consecutive naturals, namely, 2170200020 + 2170200021.

It is an arithmetic number, because the mean of its divisors is an integer number (2170200021).

Almost surely, 24340400041 is an apocalyptic number.

It is an amenable number.

4340400041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4340400041 is an equidigital number, since it uses as much as digits as its factorization.

4340400041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4340400041 is about 65881.7124929217. The cubic root of 4340400041 is about 1631.2101669618.

Adding to 4340400041 its reverse (1400040434), we get a palindrome (5740440475).

The spelling of 4340400041 in words is "four billion, three hundred forty million, four hundred thousand, forty-one".