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34938315 = 32517109419
BaseRepresentation
bin1000010101000…
…1110111001011
32102202001100200
42011101313023
532421011230
63244503243
7602653656
oct205216713
972661320
1034938315
11187a3745
12b84ab23
137313979
1448d689d
153102160
hex2151dcb

34938315 has 48 divisors (see below), whose sum is σ = 64864800. Its totient is φ = 17335296.

The previous prime is 34938263. The next prime is 34938341. The reversal of 34938315 is 51383943.

34938315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34938315 - 212 = 34934219 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34938315.

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 47 ways as a sum of consecutive naturals, for example, 83176 + ... + 83594.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 234938315 is an apocalyptic number.

34938315 is a deficient number, since it is larger than the sum of its proper divisors (29926485).

34938315 is a wasteful number, since it uses less digits than its factorization.

34938315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 553 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 34938315 is about 5910.8641500207. The cubic root of 34938315 is about 326.9143506570.

It can be divided in two parts, 34938 and 315, that added together give a palindrome (35253).

The spelling of 34938315 in words is "thirty-four million, nine hundred thirty-eight thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 17 45 51 85 109 153 255 327 419 545 765 981 1257 1635 1853 2095 3771 4905 5559 6285 7123 9265 16677 18855 21369 27795 35615 45671 64107 83385 106845 137013 228355 320535 411039 685065 776407 2055195 2329221 3882035 6987663 11646105 34938315