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32434242309 = 32711311234057
BaseRepresentation
bin11110001101001110…
…110100001100000101
310002201101202020001200
4132031032310030011
51012411131223214
622522230213113
72225515340130
oct361516641405
9102641666050
1032434242309
1112834314337
1263521b4199
13309b7ac971
1417d985d217
15c9c6b5d09
hex78d3b4305

32434242309 has 48 divisors (see below), whose sum is σ = 54077492352. Its totient is φ = 18348954624.

The previous prime is 32434242307. The next prime is 32434242331. The reversal of 32434242309 is 90324243423.

32434242309 is a `hidden beast` number, since 3 + 2 + 4 + 342 + 4 + 2 + 309 = 666.

It is not a de Polignac number, because 32434242309 - 21 = 32434242307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32434242301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7992609 + ... + 7996665.

It is an arithmetic number, because the mean of its divisors is an integer number (1126614424).

Almost surely, 232434242309 is an apocalyptic number.

It is an amenable number.

32434242309 is a deficient number, since it is larger than the sum of its proper divisors (21643250043).

32434242309 is a wasteful number, since it uses less digits than its factorization.

32434242309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 32434242309 in words is "thirty-two billion, four hundred thirty-four million, two hundred forty-two thousand, three hundred nine".

Divisors: 1 3 7 9 21 63 113 339 791 1017 1123 2373 3369 4057 7119 7861 10107 12171 23583 28399 36513 70749 85197 126899 255591 380697 458441 888293 1142091 1375323 2664879 3209087 4125969 4556011 7994637 9627261 13668033 28881783 31892077 41004099 95676231 287028693 514829243 1544487729 3603804701 4633463187 10811414103 32434242309