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434424 = 23323787
BaseRepresentation
bin1101010000011111000
3211001220210
41222003320
5102400144
613151120
73456354
oct1520370
9731823
10434424
11277431
1218b4a0
13122973
14b4464
1588ab9
hex6a0f8

434424 has 32 divisors (see below), whose sum is σ = 1134720. Its totient is φ = 138336.

The previous prime is 434411. The next prime is 434431. The reversal of 434424 is 424434.

434424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 434424.

It is a congruent number.

It is an unprimeable number.

434424 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 7 ways as a sum of consecutive naturals, for example, 159 + ... + 945.

It is an arithmetic number, because the mean of its divisors is an integer number (35460).

2434424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567360).

434424 is an abundant number, since it is smaller than the sum of its proper divisors (700296).

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

434424 is a wasteful number, since it uses less digits than its factorization.

434424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 815 counting only the distinct ones).

The product of its digits is 1536, while the sum is 21.

The square root of 434424 is about 659.1084887938. The cubic root of 434424 is about 75.7363905012.

Adding to 434424 its reverse (424434), we get a palindrome (858858).

It can be divided in two parts, 434 and 424, that added together give a palindrome (858).

The spelling of 434424 in words is "four hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 787 1574 2361 3148 4722 6296 9444 18101 18888 36202 54303 72404 108606 144808 217212 434424