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10434229 = 132292129
BaseRepresentation
bin100111110011…
…011010110101
3201122010001221
4213303122311
510132343404
61011350341
7154455331
oct47633265
921563057
1010434229
115987433
1235b23b1
132214400
1415587c1
15db1954
hex9f36b5

10434229 has 12 divisors (see below), whose sum is σ = 11693700. Its totient is φ = 9295104.

The previous prime is 10434227. The next prime is 10434247. The reversal of 10434229 is 92243401.

10434229 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 6 ways, for example, as 2464900 + 7969329 = 1570^2 + 2823^2 .

It is not a de Polignac number, because 10434229 - 21 = 10434227 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3837 + ... + 5965.

It is an arithmetic number, because the mean of its divisors is an integer number (974475).

Almost surely, 210434229 is an apocalyptic number.

It is an amenable number.

10434229 is a deficient number, since it is larger than the sum of its proper divisors (1259471).

10434229 is a wasteful number, since it uses less digits than its factorization.

10434229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 10434229 is about 3230.2057210029. The cubic root of 10434229 is about 218.5177841617.

The spelling of 10434229 in words is "ten million, four hundred thirty-four thousand, two hundred twenty-nine".

Divisors: 1 13 29 169 377 2129 4901 27677 61741 359801 802633 10434229