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34800905 = 537313601
BaseRepresentation
bin1000010011000…
…0010100001001
32102111001212102
42010300110021
532402112110
63241523145
7601542236
oct204602411
972431772
1034800905
111870a487
12b7a34b5
137296269
14489c78d
1530c65a5
hex2130509

34800905 has 16 divisors (see below), whose sum is σ = 43098384. Its totient is φ = 26956800.

The previous prime is 34800893. The next prime is 34800911. The reversal of 34800905 is 50900843.

It can be written as a sum of positive squares in 8 ways, for example, as 2704 + 34798201 = 52^2 + 5899^2 .

It is not a de Polignac number, because 34800905 - 214 = 34784521 is a prime.

It is a super-2 number, since 2×348009052 = 2422205977638050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57605 + ... + 58205.

It is an arithmetic number, because the mean of its divisors is an integer number (2693649).

Almost surely, 234800905 is an apocalyptic number.

It is an amenable number.

34800905 is a deficient number, since it is larger than the sum of its proper divisors (8297479).

34800905 is a wasteful number, since it uses less digits than its factorization.

34800905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 34800905 is about 5899.2291869362. The cubic root of 34800905 is about 326.4852103208.

The spelling of 34800905 in words is "thirty-four million, eight hundred thousand, nine hundred five".

Divisors: 1 5 37 185 313 601 1565 3005 11581 22237 57905 111185 188113 940565 6960181 34800905