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10431306 = 232579517
BaseRepresentation
bin100111110010…
…101101001010
3201121222001200
4213302231022
510132300211
61011325030
7154443654
oct47625512
921558050
1010431306
115985216
1235b0776
132212c92
1415576d4
15db0b56
hex9f2b4a

10431306 has 12 divisors (see below), whose sum is σ = 22601202. Its totient is φ = 3477096.

The previous prime is 10431277. The next prime is 10431313. The reversal of 10431306 is 60313401.

It can be written as a sum of positive squares in only one way, i.e., 8208225 + 2223081 = 2865^2 + 1491^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 579517 = 10431306 / (1 + 0 + 4 + 3 + 1 + 3 + 0 + 6).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 289741 + ... + 289776.

Almost surely, 210431306 is an apocalyptic number.

10431306 is an abundant number, since it is smaller than the sum of its proper divisors (12169896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10431306 is a wasteful number, since it uses less digits than its factorization.

10431306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579525 (or 579522 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 10431306 is about 3229.7532413483. The cubic root of 10431306 is about 218.4973773788.

Adding to 10431306 its reverse (60313401), we get a palindrome (70744707).

The spelling of 10431306 in words is "ten million, four hundred thirty-one thousand, three hundred six".

Divisors: 1 2 3 6 9 18 579517 1159034 1738551 3477102 5215653 10431306