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34424 = 2313331
BaseRepresentation
bin1000011001111000
31202012222
420121320
52100144
6423212
7202235
oct103170
952188
1034424
1123955
1217b08
1312890
14c78c
15a2ee
hex8678

34424 has 16 divisors (see below), whose sum is σ = 69720. Its totient is φ = 15840.

The previous prime is 34421. The next prime is 34429. The reversal of 34424 is 42443.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

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 34424.

It is not an unprimeable number, because it can be changed into a prime (34421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62 + ... + 269.

234424 is an apocalyptic number.

It is an amenable number.

34424 is an abundant number, since it is smaller than the sum of its proper divisors (35296).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34860).

34424 is a wasteful number, since it uses less digits than its factorization.

34424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 346 counting only the distinct ones).

The product of its digits is 384, while the sum is 17.

The square root of 34424 is about 185.5370582929. The cubic root of 34424 is about 32.5302282862.

Adding to 34424 its reverse (42443), we get a palindrome (76867).

It can be divided in two parts, 344 and 24, that multiplied together give a triangular number (8256 = T128).

The spelling of 34424 in words is "thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 331 662 1324 2648 4303 8606 17212 34424