Search a number
-
+
420341313 = 37191053487
BaseRepresentation
bin11001000011011…
…110011001000001
31002021221112212210
4121003132121001
51330101410223
6105413212333
713262561610
oct3103363101
91067845783
10420341313
111a62a9717
12b89310a9
1369114192
143db7b877
1526d80893
hex190de641

420341313 has 16 divisors (see below), whose sum is σ = 674232320. Its totient is φ = 227552976.

The previous prime is 420341293. The next prime is 420341321. The reversal of 420341313 is 313143024.

It is not a de Polignac number, because 420341313 - 210 = 420340289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 420341313.

It is not an unprimeable number, because it can be changed into a prime (420341323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526345 + ... + 527142.

It is an arithmetic number, because the mean of its divisors is an integer number (42139520).

Almost surely, 2420341313 is an apocalyptic number.

It is an amenable number.

420341313 is a deficient number, since it is larger than the sum of its proper divisors (253891007).

420341313 is a wasteful number, since it uses less digits than its factorization.

420341313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053516.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 420341313 is about 20502.2270253746. The cubic root of 420341313 is about 749.0900448665.

Adding to 420341313 its reverse (313143024), we get a palindrome (733484337).

The spelling of 420341313 in words is "four hundred twenty million, three hundred forty-one thousand, three hundred thirteen".

Divisors: 1 3 7 19 21 57 133 399 1053487 3160461 7374409 20016253 22123227 60048759 140113771 420341313