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434344384 = 2667101293
BaseRepresentation
bin11001111000111…
…001000111000000
31010021021222111001
4121320321013000
51342143010014
6111033301344
713522603105
oct3170710700
91107258431
10434344384
112031a3401
12101564854
136bca7b16
1441984aac
15281e9974
hex19e391c0

434344384 has 28 divisors (see below), whose sum is σ = 874774984. Its totient is φ = 213928704.

The previous prime is 434344367. The next prime is 434344409. The reversal of 434344384 is 483443434.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46359 + ... + 54934.

Almost surely, 2434344384 is an apocalyptic number.

It is an amenable number.

434344384 is an abundant number, since it is smaller than the sum of its proper divisors (440430600).

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

434344384 is a wasteful number, since it uses less digits than its factorization.

434344384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101372 (or 101362 counting only the distinct ones).

The product of its digits is 221184, while the sum is 37.

The square root of 434344384 is about 20840.9304974610. The cubic root of 434344384 is about 757.3176353399.

The spelling of 434344384 in words is "four hundred thirty-four million, three hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 67 134 268 536 1072 2144 4288 101293 202586 405172 810344 1620688 3241376 6482752 6786631 13573262 27146524 54293048 108586096 217172192 434344384