Search a number
-
+
34044128 = 251278377
BaseRepresentation
bin1000000111011…
…1100011100000
32101001121202122
42001313203200
532203403003
63213403412
7562241006
oct201674340
971047678
1034044128
1118242948
12b499568
13708c971
144742a76
152ec7238
hex20778e0

34044128 has 24 divisors (see below), whose sum is σ = 67560192. Its totient is φ = 16886016.

The previous prime is 34044091. The next prime is 34044133. The reversal of 34044128 is 82144043.

It is a junction number, because it is equal to n+sod(n) for n = 34044097 and 34044106.

It is a congruent number.

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, 125 + ... + 8252.

It is an arithmetic number, because the mean of its divisors is an integer number (2815008).

Almost surely, 234044128 is an apocalyptic number.

It is an amenable number.

34044128 is a deficient number, since it is larger than the sum of its proper divisors (33516064).

34044128 is a wasteful number, since it uses less digits than its factorization.

34044128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8514 (or 8506 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 34044128 is about 5834.7346126452. The cubic root of 34044128 is about 324.1012740363.

The spelling of 34044128 in words is "thirty-four million, forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 127 254 508 1016 2032 4064 8377 16754 33508 67016 134032 268064 1063879 2127758 4255516 8511032 17022064 34044128