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414030301 is a prime number
BaseRepresentation
bin11000101011011…
…001100111011101
31001212001220210121
4120223121213131
51321442432201
6105030034541
713155125266
oct3053314735
91055056717
10414030301
111a2789103
12b67a8a51
1367a14759
143cdb796d
15265359a1
hex18ad99dd

414030301 has 2 divisors, whose sum is σ = 414030302. Its totient is φ = 414030300.

The previous prime is 414030299. The next prime is 414030313. The reversal of 414030301 is 103030414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 245705625 + 168324676 = 15675^2 + 12974^2 .

It is a cyclic number.

It is not a de Polignac number, because 414030301 - 21 = 414030299 is a prime.

Together with 414030299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414030371) 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, 207015150 + 207015151.

It is an arithmetic number, because the mean of its divisors is an integer number (207015151).

Almost surely, 2414030301 is an apocalyptic number.

It is an amenable number.

414030301 is a deficient number, since it is larger than the sum of its proper divisors (1).

414030301 is an equidigital number, since it uses as much as digits as its factorization.

414030301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 414030301 is about 20347.7345422040. The cubic root of 414030301 is about 745.3221740656.

Adding to 414030301 its reverse (103030414), we get a palindrome (517060715).

The spelling of 414030301 in words is "four hundred fourteen million, thirty thousand, three hundred one".