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434113220 = 22521705661
BaseRepresentation
bin11001111000000…
…000101011000100
31010020212020101102
4121320000223010
51342113110340
6111024315232
713520621132
oct3170005304
91106766342
10434113220
11203055762
12101472b18
136bc26838
1441924752
15281a1215
hex19e00ac4

434113220 has 12 divisors (see below), whose sum is σ = 911637804. Its totient is φ = 173645280.

The previous prime is 434113219. The next prime is 434113223. The reversal of 434113220 is 22311434.

It can be written as a sum of positive squares in 2 ways, for example, as 56821444 + 377291776 = 7538^2 + 19424^2 .

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: 21705661 = 434113220 / (4 + 3 + 4 + 1 + 1 + 3 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 434113192 and 434113201.

It is not an unprimeable number, because it can be changed into a prime (434113223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10852811 + ... + 10852850.

It is an arithmetic number, because the mean of its divisors is an integer number (75969817).

Almost surely, 2434113220 is an apocalyptic number.

It is an amenable number.

434113220 is an abundant number, since it is smaller than the sum of its proper divisors (477524584).

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

434113220 is a wasteful number, since it uses less digits than its factorization.

434113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21705670 (or 21705668 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 434113220 is about 20835.3838457562. The cubic root of 434113220 is about 757.1832599098.

Adding to 434113220 its reverse (22311434), we get a palindrome (456424654).

The spelling of 434113220 in words is "four hundred thirty-four million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 21705661 43411322 86822644 108528305 217056610 434113220