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10434645 = 3251317837
BaseRepresentation
bin100111110011…
…100001010101
3201122010122100
4213303201111
510132402040
61011352313
7154456464
oct47634125
921563570
1010434645
115987781
1235b2699
132214660
1415589db
15db1b30
hex9f3855

10434645 has 24 divisors (see below), whose sum is σ = 19479096. Its totient is φ = 5136768.

The previous prime is 10434559. The next prime is 10434649. The reversal of 10434645 is 54643401.

10434645 is a `hidden beast` number, since 10 + 4 + 3 + 4 + 645 = 666.

10434645 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1052676 + 9381969 = 1026^2 + 3063^2 .

It is not a de Polignac number, because 10434645 - 29 = 10434133 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434649) 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 23 ways as a sum of consecutive naturals, for example, 8334 + ... + 9503.

It is an arithmetic number, because the mean of its divisors is an integer number (811629).

Almost surely, 210434645 is an apocalyptic number.

10434645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10434645 is a deficient number, since it is larger than the sum of its proper divisors (9044451).

10434645 is a wasteful number, since it uses less digits than its factorization.

10434645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17861 (or 17858 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 10434645 is about 3230.2701125448. The cubic root of 10434645 is about 218.5206881357.

The spelling of 10434645 in words is "ten million, four hundred thirty-four thousand, six hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 17837 53511 89185 160533 231881 267555 695643 802665 1159405 2086929 3478215 10434645