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420424323 = 31159921269
BaseRepresentation
bin11001000011110…
…010101010000011
31002022002202202020
4121003302222003
51330112034243
6105415052523
713263355614
oct3103625203
91068082666
10420424323
111a6356020
12b8971143
1369142bb7
143db9dc0b
1526d9a283
hex190f2a83

420424323 has 16 divisors (see below), whose sum is σ = 612576000. Its totient is φ = 254365280.

The previous prime is 420424313. The next prime is 420424327. The reversal of 420424323 is 323424024.

It is a cyclic number.

It is not a de Polignac number, because 420424323 - 24 = 420424307 is a prime.

It is a super-2 number, since 2×4204243232 = 353513222740016658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420424293 and 420424302.

It is not an unprimeable number, because it can be changed into a prime (420424327) 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, 9133 + ... + 30401.

It is an arithmetic number, because the mean of its divisors is an integer number (38286000).

Almost surely, 2420424323 is an apocalyptic number.

420424323 is a deficient number, since it is larger than the sum of its proper divisors (192151677).

420424323 is a wasteful number, since it uses less digits than its factorization.

420424323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21882.

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 420424323 is about 20504.2513396612. The cubic root of 420424323 is about 749.1393523141.

Adding to 420424323 its reverse (323424024), we get a palindrome (743848347).

The spelling of 420424323 in words is "four hundred twenty million, four hundred twenty-four thousand, three hundred twenty-three".

Divisors: 1 3 11 33 599 1797 6589 19767 21269 63807 233959 701877 12740131 38220393 140141441 420424323