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414645073 is a prime number
BaseRepresentation
bin11000101101101…
…111101101010001
31001220020011002221
4120231233231101
51322122120243
6105051141041
713163265523
oct3055575521
91056204087
10414645073
111a3068a87
12b6a44781
1367b9b51b
143d0d7a13
1526607bed
hex18b6fb51

414645073 has 2 divisors, whose sum is σ = 414645074. Its totient is φ = 414645072.

The previous prime is 414645059. The next prime is 414645083. The reversal of 414645073 is 370546414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 411765264 + 2879809 = 20292^2 + 1697^2 .

It is a cyclic number.

It is not a de Polignac number, because 414645073 - 213 = 414636881 is a prime.

It is not a weakly prime, because it can be changed into another prime (414645053) 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, 207322536 + 207322537.

It is an arithmetic number, because the mean of its divisors is an integer number (207322537).

Almost surely, 2414645073 is an apocalyptic number.

It is an amenable number.

414645073 is a deficient number, since it is larger than the sum of its proper divisors (1).

414645073 is an equidigital number, since it uses as much as digits as its factorization.

414645073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 414645073 is about 20362.8355834839. The cubic root of 414645073 is about 745.6908883054.

The spelling of 414645073 in words is "four hundred fourteen million, six hundred forty-five thousand, seventy-three".