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419383341 = 321311331721
BaseRepresentation
bin11000111111110…
…100100000101101
31002020010212210100
4120333310200231
51324330231331
6105340501313
713251461646
oct3077644055
91066125710
10419383341
111a5804a03
12b854a839
1368b6a130
143d9ac6cd
1526c41ae6
hex18ff482d

419383341 has 24 divisors (see below), whose sum is σ = 658168056. Its totient is φ = 255790080.

The previous prime is 419383249. The next prime is 419383361. The reversal of 419383341 is 143383914.

It can be written as a sum of positive squares in 4 ways, for example, as 75429225 + 343954116 = 8685^2 + 18546^2 .

It is not a de Polignac number, because 419383341 - 211 = 419381293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 419383296 and 419383305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419383361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2640 + ... + 29081.

It is an arithmetic number, because the mean of its divisors is an integer number (27423669).

Almost surely, 2419383341 is an apocalyptic number.

It is an amenable number.

419383341 is a deficient number, since it is larger than the sum of its proper divisors (238784715).

419383341 is a wasteful number, since it uses less digits than its factorization.

419383341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31853 (or 31850 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 419383341 is about 20478.8510664051. The cubic root of 419383341 is about 748.5205448690.

The spelling of 419383341 in words is "four hundred nineteen million, three hundred eighty-three thousand, three hundred forty-one".

Divisors: 1 3 9 13 39 113 117 339 1017 1469 4407 13221 31721 95163 285489 412373 1237119 3584473 3711357 10753419 32260257 46598149 139794447 419383341