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2348764001 is a prime number
BaseRepresentation
bin1000101111111111…
…0100101101100001
320001200121120111022
42023333310231201
514302240422001
61025022055225
7112130110313
oct21377645541
96050546438
102348764001
11aa58a8181
1255671a515
132b57b9aac
14183d237b3
15db30511b
hex8bff4b61

2348764001 has 2 divisors, whose sum is σ = 2348764002. Its totient is φ = 2348764000.

The previous prime is 2348763997. The next prime is 2348764043. The reversal of 2348764001 is 1004678432.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1369074001 + 979690000 = 37001^2 + 31300^2 .

It is a cyclic number.

It is not a de Polignac number, because 2348764001 - 22 = 2348763997 is a prime.

It is not a weakly prime, because it can be changed into another prime (2348764601) by changing a digit.

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 as a sum of consecutive naturals, namely, 1174382000 + 1174382001.

It is an arithmetic number, because the mean of its divisors is an integer number (1174382001).

Almost surely, 22348764001 is an apocalyptic number.

It is an amenable number.

2348764001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2348764001 is an equidigital number, since it uses as much as digits as its factorization.

2348764001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 2348764001 is about 48464.0485411609. The cubic root of 2348764001 is about 1329.2697672305.

The spelling of 2348764001 in words is "two billion, three hundred forty-eight million, seven hundred sixty-four thousand, one".