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430434020 = 22521521701
BaseRepresentation
bin11001101001111…
…110011011100100
31002222221022110202
4121221332123210
51340142342040
6110413410032
713444425452
oct3151763344
91088838422
10430434020
11200a724a5
12100199918
136b238cb3
14412479d2
1527bc6015
hex19a7e6e4

430434020 has 12 divisors (see below), whose sum is σ = 903911484. Its totient is φ = 172173600.

The previous prime is 430434007. The next prime is 430434047. The reversal of 430434020 is 20434034.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 132112036 + 298321984 = 11494^2 + 17272^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 21521701 = 430434020 / (4 + 3 + 0 + 4 + 3 + 4 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 430433983 and 430434001.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 10760831 + ... + 10760870.

It is an arithmetic number, because the mean of its divisors is an integer number (75325957).

Almost surely, 2430434020 is an apocalyptic number.

It is an amenable number.

430434020 is an abundant number, since it is smaller than the sum of its proper divisors (473477464).

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

430434020 is a wasteful number, since it uses less digits than its factorization.

430434020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21521710 (or 21521708 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 430434020 is about 20746.9038653964. The cubic root of 430434020 is about 755.0380928984.

Adding to 430434020 its reverse (20434034), we get a palindrome (450868054).

The spelling of 430434020 in words is "four hundred thirty million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 21521701 43043402 86086804 107608505 215217010 430434020