Search a number
-
+
34813023 = 3715710559
BaseRepresentation
bin1000010011001…
…1010001011111
32102111200111020
42010303101133
532403004043
63242055223
7601622460
oct204632137
972450436
1034813023
11187185a3
12b7aa513
13729b92b
1448a2d67
1530c9e83
hex213345f

34813023 has 16 divisors (see below), whose sum is σ = 53391360. Its totient is φ = 19764576.

The previous prime is 34812971. The next prime is 34813027. The reversal of 34813023 is 32031843.

34813023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34813023 - 29 = 34812511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34812984 and 34813002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34813027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1983 + ... + 8576.

It is an arithmetic number, because the mean of its divisors is an integer number (3336960).

Almost surely, 234813023 is an apocalyptic number.

34813023 is a deficient number, since it is larger than the sum of its proper divisors (18578337).

34813023 is a wasteful number, since it uses less digits than its factorization.

34813023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10726.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34813023 is about 5900.2561808789. The cubic root of 34813023 is about 326.5231009892.

Adding to 34813023 its reverse (32031843), we get a palindrome (66844866).

The spelling of 34813023 in words is "thirty-four million, eight hundred thirteen thousand, twenty-three".

Divisors: 1 3 7 21 157 471 1099 3297 10559 31677 73913 221739 1657763 4973289 11604341 34813023