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434540349 = 33178631097
BaseRepresentation
bin11001111001101…
…000111100111101
31010021122221022000
4121321220330331
51342220242344
6111041412513
713524350325
oct3171507475
91107587260
10434540349
11203317661
1210163a139
136c046089
14419d6285
1528237a69
hex19e68f3d

434540349 has 32 divisors (see below), whose sum is σ = 683043840. Its totient is φ = 272088576.

The previous prime is 434540341. The next prime is 434540399. The reversal of 434540349 is 943045434.

It is a happy number.

It is not a de Polignac number, because 434540349 - 23 = 434540341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434540341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395569 + ... + 396665.

It is an arithmetic number, because the mean of its divisors is an integer number (21345120).

Almost surely, 2434540349 is an apocalyptic number.

It is an amenable number.

434540349 is a deficient number, since it is larger than the sum of its proper divisors (248503491).

434540349 is a wasteful number, since it uses less digits than its factorization.

434540349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 434540349 is about 20845.6314128404. The cubic root of 434540349 is about 757.4315122866.

The spelling of 434540349 in words is "four hundred thirty-four million, five hundred forty thousand, three hundred forty-nine".

Divisors: 1 3 9 17 27 51 153 459 863 1097 2589 3291 7767 9873 14671 18649 23301 29619 44013 55947 132039 167841 396117 503523 946711 2840133 8520399 16094087 25561197 48282261 144846783 434540349