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434424420 = 223252413469
BaseRepresentation
bin11001111001001…
…100101001100100
31010021110001021100
4121321030221210
51342203040140
6111035120100
713523355333
oct3171145144
91107401240
10434424420
11203248551
121015a3030
136c005391
14419a5d1a
1528213530
hex19e4ca64

434424420 has 36 divisors (see below), whose sum is σ = 1317754620. Its totient is φ = 115846464.

The previous prime is 434424413. The next prime is 434424457. The reversal of 434424420 is 24424434.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 60466176 + 373958244 = 7776^2 + 19338^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1206555 + ... + 1206914.

It is an arithmetic number, because the mean of its divisors is an integer number (36604295).

Almost surely, 2434424420 is an apocalyptic number.

It is an amenable number.

434424420 is an abundant number, since it is smaller than the sum of its proper divisors (883330200).

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

434424420 is a wasteful number, since it uses less digits than its factorization.

434424420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413484 (or 2413479 counting only the distinct ones).

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

The square root of 434424420 is about 20842.8505727983. The cubic root of 434424420 is about 757.3641490848.

Adding to 434424420 its reverse (24424434), we get a palindrome (458848854).

The spelling of 434424420 in words is "four hundred thirty-four million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2413469 4826938 7240407 9653876 12067345 14480814 21721221 24134690 28961628 36202035 43442442 48269380 72404070 86884884 108606105 144808140 217212210 434424420