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434385513 = 32173776733
BaseRepresentation
bin11001111001000…
…011001001101001
31010021101001220100
4121321003021221
51342200314023
6111034220013
713523134032
oct3171031151
91107331810
10434385513
112032212a1
12101584609
136bcc0763
1441995a89
1528206c43
hex19e43269

434385513 has 24 divisors (see below), whose sum is σ = 682318728. Its totient is φ = 265185792.

The previous prime is 434385487. The next prime is 434385517. The reversal of 434385513 is 315583434.

It can be written as a sum of positive squares in 4 ways, for example, as 363016809 + 71368704 = 19053^2 + 8448^2 .

It is not a de Polignac number, because 434385513 - 25 = 434385481 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (434385517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32706 + ... + 44027.

It is an arithmetic number, because the mean of its divisors is an integer number (28429947).

Almost surely, 2434385513 is an apocalyptic number.

It is an amenable number.

434385513 is a deficient number, since it is larger than the sum of its proper divisors (247933215).

434385513 is a wasteful number, since it uses less digits than its factorization.

434385513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76793 (or 76790 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 434385513 is about 20841.9172102760. The cubic root of 434385513 is about 757.3415385951.

The spelling of 434385513 in words is "four hundred thirty-four million, three hundred eighty-five thousand, five hundred thirteen".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 5661 76733 230199 690597 1304461 2839121 3913383 8517363 11740149 25552089 48265057 144795171 434385513