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34806742335 = 3354118893329
BaseRepresentation
bin100000011010101001…
…001011110100111111
310022211202000201021000
4200122221023310333
51032241011223320
623553501141343
72341354266621
oct403251136477
9108752021230
1034806742335
1113841553762
1268b485a853
13338918a531
1419829a0c11
15d8ab08c90
hex81aa4bd3f

34806742335 has 64 divisors (see below), whose sum is σ = 63440496000. Its totient is φ = 18095800320.

The previous prime is 34806742319. The next prime is 34806742349. The reversal of 34806742335 is 53324760843.

34806742335 is a `hidden beast` number, since 348 + 0 + 6 + 74 + 233 + 5 = 666.

It is not a de Polignac number, because 34806742335 - 24 = 34806742319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10453951 + ... + 10457279.

It is an arithmetic number, because the mean of its divisors is an integer number (991257750).

Almost surely, 234806742335 is an apocalyptic number.

34806742335 is a deficient number, since it is larger than the sum of its proper divisors (28633753665).

34806742335 is a wasteful number, since it uses less digits than its factorization.

34806742335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273 (or 5267 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 34806742335 in words is "thirty-four billion, eight hundred six million, seven hundred forty-two thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 27 41 45 123 135 205 369 615 1107 1845 1889 3329 5535 5667 9445 9987 16645 17001 28335 29961 49935 51003 77449 85005 89883 136489 149805 232347 255015 387245 409467 449415 682445 697041 1161735 1228401 2047335 2091123 3485205 3685203 6142005 6288481 10455615 18426015 18865443 31442405 56596329 94327215 169788987 257827721 282981645 773483163 848944935 1289138605 2320449489 3867415815 6961348467 11602247445 34806742335