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10434905 = 513253233
BaseRepresentation
bin100111110011…
…100101011001
3201122010222222
4213303211121
510132404110
61011353425
7154460315
oct47634531
921563888
1010434905
115987998
1235b2875
132214800
141558b45
15db1c55
hex9f3959

10434905 has 24 divisors (see below), whose sum is σ = 13874328. Its totient is φ = 7527936.

The previous prime is 10434901. The next prime is 10434929. The reversal of 10434905 is 50943401.

It can be written as a sum of positive squares in 12 ways, for example, as 6390784 + 4044121 = 2528^2 + 2011^2 .

It is not a de Polignac number, because 10434905 - 22 = 10434901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44669 + ... + 44901.

It is an arithmetic number, because the mean of its divisors is an integer number (578097).

Almost surely, 210434905 is an apocalyptic number.

It is an amenable number.

10434905 is a deficient number, since it is larger than the sum of its proper divisors (3439423).

10434905 is a wasteful number, since it uses less digits than its factorization.

10434905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 10434905 is about 3230.3103566066. The cubic root of 10434905 is about 218.5225030803.

The spelling of 10434905 in words is "ten million, four hundred thirty-four thousand, nine hundred five".

Divisors: 1 5 13 53 65 169 233 265 689 845 1165 3029 3445 8957 12349 15145 39377 44785 61745 160537 196885 802685 2086981 10434905