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34659905 = 572193733
BaseRepresentation
bin1000010000110…
…1111001000001
32102012220110012
42010031321001
532333104110
63234514305
7600414200
oct204157101
972186405
1034659905
1118623555
12b735995
137247027
144863237
153099905
hex210de41

34659905 has 24 divisors (see below), whose sum is σ = 48699432. Its totient is φ = 23611392.

The previous prime is 34659899. The next prime is 34659931. The reversal of 34659905 is 50995643.

It can be written as a sum of positive squares in 4 ways, for example, as 8116801 + 26543104 = 2849^2 + 5152^2 .

It is not a de Polignac number, because 34659905 - 28 = 34659649 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46919 + ... + 47651.

It is an arithmetic number, because the mean of its divisors is an integer number (2029143).

Almost surely, 234659905 is an apocalyptic number.

34659905 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34659905 is a deficient number, since it is larger than the sum of its proper divisors (14039527).

34659905 is a wasteful number, since it uses less digits than its factorization.

34659905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 41.

The square root of 34659905 is about 5887.2663435588. The cubic root of 34659905 is about 326.0436822793.

The spelling of 34659905 in words is "thirty-four million, six hundred fifty-nine thousand, nine hundred five".

Divisors: 1 5 7 35 49 193 245 733 965 1351 3665 5131 6755 9457 25655 35917 47285 141469 179585 707345 990283 4951415 6931981 34659905