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429534 = 23272487
BaseRepresentation
bin1101000110111011110
3210211012200
41220313132
5102221114
613112330
73436200
oct1506736
9724180
10429534
11273796
121886a6
13120681
14b2770
1587409
hex68dde

429534 has 36 divisors (see below), whose sum is σ = 1084824. Its totient is φ = 122472.

The previous prime is 429529. The next prime is 429547. The reversal of 429534 is 435924.

429534 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 429498 and 429507.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 429534.

It is an unprimeable number.

429534 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 17 ways as a sum of consecutive naturals, for example, 639 + ... + 1125.

It is an arithmetic number, because the mean of its divisors is an integer number (30134).

2429534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542412).

429534 is an abundant number, since it is smaller than the sum of its proper divisors (655290).

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

429534 is a wasteful number, since it uses less digits than its factorization.

429534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 499 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 429534 is about 655.3884344417. The cubic root of 429534 is about 75.4511474384.

The spelling of 429534 in words is "four hundred twenty-nine thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 487 882 974 1461 2922 3409 4383 6818 8766 10227 20454 23863 30681 47726 61362 71589 143178 214767 429534