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414244333 is a prime number
BaseRepresentation
bin11000101100001…
…101110111101101
31001212110210101201
4120230031313231
51322021304313
6105034405501
713160006266
oct3054156755
91055423351
10414244333
111a2914998
12b6890891
1367a8acb9
143d03196d
15265790dd
hex18b0dded

414244333 has 2 divisors, whose sum is σ = 414244334. Its totient is φ = 414244332.

The previous prime is 414244331. The next prime is 414244339. The reversal of 414244333 is 333442414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 356529924 + 57714409 = 18882^2 + 7597^2 .

It is a cyclic number.

It is not a de Polignac number, because 414244333 - 21 = 414244331 is a prime.

It is a super-2 number, since 2×4142443332 = 343196734845229778, which contains 22 as substring.

Together with 414244331, 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 (414244331) 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, 207122166 + 207122167.

It is an arithmetic number, because the mean of its divisors is an integer number (207122167).

Almost surely, 2414244333 is an apocalyptic number.

It is an amenable number.

414244333 is a deficient number, since it is larger than the sum of its proper divisors (1).

414244333 is an equidigital number, since it uses as much as digits as its factorization.

414244333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 28.

The square root of 414244333 is about 20352.9932196716. The cubic root of 414244333 is about 745.4505827954.

Adding to 414244333 its reverse (333442414), we get a palindrome (747686747).

The spelling of 414244333 in words is "four hundred fourteen million, two hundred forty-four thousand, three hundred thirty-three".