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434331220 = 225181119981
BaseRepresentation
bin11001111000110…
…101111001010100
31010021021022102111
4121320311321110
51342142044340
6111033120404
713522516531
oct3170657124
91107238374
10434331220
11203194524
12101559104
136bca1b2b
144197dd88
15281e5aea
hex19e35e54

434331220 has 24 divisors (see below), whose sum is σ = 917142408. Its totient is φ = 172771200.

The previous prime is 434331193. The next prime is 434331221. The reversal of 434331220 is 22133434.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51581124 + 382750096 = 7182^2 + 19564^2 .

It is a junction number, because it is equal to n+sod(n) for n = 434331191 and 434331200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434331221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56371 + ... + 63610.

It is an arithmetic number, because the mean of its divisors is an integer number (38214267).

Almost surely, 2434331220 is an apocalyptic number.

It is an amenable number.

434331220 is an abundant number, since it is smaller than the sum of its proper divisors (482811188).

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

434331220 is a wasteful number, since it uses less digits than its factorization.

434331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120171 (or 120169 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 434331220 is about 20840.6146742365. The cubic root of 434331220 is about 757.3099843987.

Adding to 434331220 its reverse (22133434), we get a palindrome (456464654).

The spelling of 434331220 in words is "four hundred thirty-four million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 119981 239962 479924 599905 1199810 2399620 21716561 43433122 86866244 108582805 217165610 434331220