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34242434109 = 32132312724799
BaseRepresentation
bin11111111001000000…
…100001010000111101
310021101102011212220100
4133321000201100331
51030112030342414
623421502111313
72321362613262
oct377100412075
9107342155810
1034242434109
1113581a63624
12677787b539
1332c92aa540
14192ba69269
15d562db609
hex7f902143d

34242434109 has 24 divisors (see below), whose sum is σ = 55581926400. Its totient is φ = 20156080032.

The previous prime is 34242434071. The next prime is 34242434117. The reversal of 34242434109 is 90143424243.

It is a de Polignac number, because none of the positive numbers 2k-34242434109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34242434179) 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 23 ways as a sum of consecutive naturals, for example, 6359709 + ... + 6365090.

It is an arithmetic number, because the mean of its divisors is an integer number (2315913600).

Almost surely, 234242434109 is an apocalyptic number.

34242434109 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

34242434109 is a deficient number, since it is larger than the sum of its proper divisors (21339492291).

34242434109 is a wasteful number, since it uses less digits than its factorization.

34242434109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12724841 (or 12724838 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34242434109 in words is "thirty-four billion, two hundred forty-two million, four hundred thirty-four thousand, one hundred nine".

Divisors: 1 3 9 13 23 39 69 117 207 299 897 2691 12724799 38174397 114523191 165422387 292670377 496267161 878011131 1488801483 2634033393 3804714901 11414144703 34242434109