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34405105 = 572192389
BaseRepresentation
bin1000001100111…
…1101011110001
32101201221221011
42003033223301
532301430410
63225230521
7565303300
oct203175361
971657834
1034405105
111846a079
12b632441
137188067
1447d8437
15304918a
hex20cfaf1

34405105 has 36 divisors (see below), whose sum is σ = 50817780. Its totient is φ = 22292928.

The previous prime is 34405099. The next prime is 34405121. The reversal of 34405105 is 50150443.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 24216241 = 3192^2 + 4921^2 .

It is not a de Polignac number, because 34405105 - 23 = 34405097 is a prime.

It is a super-2 number, since 2×344051052 = 2367422500122050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88251 + ... + 88639.

It is an arithmetic number, because the mean of its divisors is an integer number (1411605).

Almost surely, 234405105 is an apocalyptic number.

34405105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34405105 is a deficient number, since it is larger than the sum of its proper divisors (16412675).

34405105 is a wasteful number, since it uses less digits than its factorization.

34405105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 34405105 is about 5865.5865009392. The cubic root of 34405105 is about 325.2427535452.

Adding to 34405105 its reverse (50150443), we get a palindrome (84555548).

The spelling of 34405105 in words is "thirty-four million, four hundred five thousand, one hundred five".

Divisors: 1 5 7 19 35 49 95 133 245 361 389 665 931 1805 1945 2527 2723 4655 7391 12635 13615 17689 19061 36955 51737 88445 95305 140429 258685 362159 702145 983003 1810795 4915015 6881021 34405105