Search a number
-
+
34342304 = 255320249
BaseRepresentation
bin1000001100000…
…0010110100000
32101121202210012
42003000112200
532242423204
63224024052
7564622223
oct203002640
971552705
1034342304
1118426977
12b602028
1371655b9
1447bd5ba
15303576e
hex20c05a0

34342304 has 24 divisors (see below), whose sum is σ = 68890500. Its totient is φ = 16846336.

The previous prime is 34342283. The next prime is 34342309. The reversal of 34342304 is 40324343.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34339600 + 2704 = 5860^2 + 52^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34342304.

It is not an unprimeable number, because it can be changed into a prime (34342309) 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, 8429 + ... + 11820.

Almost surely, 234342304 is an apocalyptic number.

It is an amenable number.

34342304 is an abundant number, since it is smaller than the sum of its proper divisors (34548196).

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

34342304 is a wasteful number, since it uses less digits than its factorization.

34342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20312 (or 20304 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 34342304 is about 5860.2307121819. The cubic root of 34342304 is about 325.0447401918.

Adding to 34342304 its reverse (40324343), we get a palindrome (74666647).

The spelling of 34342304 in words is "thirty-four million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 20249 40498 80996 161992 323984 647968 1073197 2146394 4292788 8585576 17171152 34342304