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420443424 = 25321459873
BaseRepresentation
bin11001000011110…
…111010100100000
31002022010201221200
4121003313110200
51330113142144
6105415321200
713263465402
oct3103672440
91068121850
10420443424
111a6369405
12b8980200
136914b7bb
143dba6b72
1526da0c69
hex190f7520

420443424 has 36 divisors (see below), whose sum is σ = 1195636806. Its totient is φ = 140147712.

The previous prime is 420443423. The next prime is 420443437. The reversal of 420443424 is 424344024.

It is a happy number.

420443424 is a `hidden beast` number, since 4 + 204 + 434 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 350887824 + 69555600 = 18732^2 + 8340^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (420443423) 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 5 ways as a sum of consecutive naturals, for example, 729649 + ... + 730224.

Almost surely, 2420443424 is an apocalyptic number.

It is an amenable number.

420443424 is an abundant number, since it is smaller than the sum of its proper divisors (775193382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420443424 is a wasteful number, since it uses less digits than its factorization.

420443424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459889 (or 1459878 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 420443424 is about 20504.7171158248. The cubic root of 420443424 is about 749.1506972762.

Adding to 420443424 its reverse (424344024), we get a palindrome (844787448).

The spelling of 420443424 in words is "four hundred twenty million, four hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1459873 2919746 4379619 5839492 8759238 11678984 13138857 17518476 23357968 26277714 35036952 46715936 52555428 70073904 105110856 140147808 210221712 420443424