Search a number
-
+
429606 = 23229823
BaseRepresentation
bin1101000111000100110
3210211022100
41220320212
5102221411
613112530
73436332
oct1507046
9724270
10429606
11273851
12188746
13120708
14b27c2
1587456
hex68e26

429606 has 24 divisors (see below), whose sum is σ = 964080. Its totient is φ = 138096.

The previous prime is 429599. The next prime is 429631. The reversal of 429606 is 606924.

429606 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4296062 = 369122630472, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 429606.

It is a congruent number.

It is an unprimeable number.

429606 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111 + ... + 933.

It is an arithmetic number, because the mean of its divisors is an integer number (40170).

2429606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482040).

429606 is an abundant number, since it is smaller than the sum of its proper divisors (534474).

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

429606 is a wasteful number, since it uses less digits than its factorization.

429606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 429606 is about 655.4433613975. The cubic root of 429606 is about 75.4553629985.

It can be divided in two parts, 429 and 606, that added together give a triangular number (1035 = T45).

The spelling of 429606 in words is "four hundred twenty-nine thousand, six hundred six".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 823 1646 2469 4938 7407 14814 23867 47734 71601 143202 214803 429606