Search a number
-
+
34432424 = 2313331081
BaseRepresentation
bin1000001101011…
…0010110101000
32101210100101222
42003112112220
532303314144
63230001212
7565446035
oct203262650
971710358
1034432424
1118488654
12b646208
137197620
14480438c
1530522ee
hex20d65a8

34432424 has 16 divisors (see below), whose sum is σ = 69527220. Its totient is φ = 15891840.

The previous prime is 34432417. The next prime is 34432469. The reversal of 34432424 is 42423443.

It can be written as a sum of positive squares in 2 ways, for example, as 30360100 + 4072324 = 5510^2 + 2018^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 34432393 and 34432402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 165437 + ... + 165644.

Almost surely, 234432424 is an apocalyptic number.

It is an amenable number.

34432424 is an abundant number, since it is smaller than the sum of its proper divisors (35094796).

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

34432424 is a wasteful number, since it uses less digits than its factorization.

34432424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331100 (or 331096 counting only the distinct ones).

The product of its digits is 9216, while the sum is 26.

The square root of 34432424 is about 5867.9147914741. The cubic root of 34432424 is about 325.3288159291.

Adding to 34432424 its reverse (42423443), we get a palindrome (76855867).

It can be divided in two parts, 344 and 32424, that added together give a 15-th power (32768 = 215).

The spelling of 34432424 in words is "thirty-four million, four hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 331081 662162 1324324 2648648 4304053 8608106 17216212 34432424