Search a number
-
+
34024 = 234253
BaseRepresentation
bin1000010011101000
31201200011
420103220
52042044
6421304
7201124
oct102350
951604
1034024
1123621
1217834
1312643
14c584
15a134
hex84e8

34024 has 8 divisors (see below), whose sum is σ = 63810. Its totient is φ = 17008.

The previous prime is 34019. The next prime is 34031. The reversal of 34024 is 42043.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 900 = 182^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 33995 and 34013.

It is an unprimeable number.

34024 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 as a sum of consecutive naturals, namely, 2119 + ... + 2134.

234024 is an apocalyptic number.

It is an amenable number.

34024 is a deficient number, since it is larger than the sum of its proper divisors (29786).

34024 is a wasteful number, since it uses less digits than its factorization.

34024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 34024 is about 184.4559568027. The cubic root of 34024 is about 32.4037388359.

Adding to 34024 its reverse (42043), we get a palindrome (76067).

The spelling of 34024 in words is "thirty-four thousand, twenty-four".

Divisors: 1 2 4 8 4253 8506 17012 34024