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34505919 = 347193203
BaseRepresentation
bin1000001110100…
…0010010111111
32101221002020000
42003220102333
532313142134
63231325343
7566203230
oct203502277
971832200
1034505919
1118528898
12b680853
1371c1c06
144823087
153068e99
hex20e84bf

34505919 has 40 divisors (see below), whose sum is σ = 62029440. Its totient is φ = 18674064.

The previous prime is 34505917. The next prime is 34505951. The reversal of 34505919 is 91950543.

34505919 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 34505919 - 21 = 34505917 is a prime.

It is a super-2 number, since 2×345059192 = 2381316892069122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34505917) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 9172 + ... + 12374.

It is an arithmetic number, because the mean of its divisors is an integer number (1550736).

Almost surely, 234505919 is an apocalyptic number.

34505919 is a deficient number, since it is larger than the sum of its proper divisors (27523521).

34505919 is a wasteful number, since it uses less digits than its factorization.

34505919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 34505919 is about 5874.1738993666. The cubic root of 34505919 is about 325.5601197113.

The spelling of 34505919 in words is "thirty-four million, five hundred five thousand, nine hundred nineteen".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 399 513 567 1197 1539 3203 3591 9609 10773 22421 28827 60857 67263 86481 182571 201789 259443 425999 547713 605367 1277997 1643139 1816101 3833991 4929417 11501973 34505919