Search a number
-
+
34769631 = 3133128759
BaseRepresentation
bin1000010010100…
…0101011011111
32102102110222010
42010220223133
532400112011
63241122303
7601352121
oct204505337
972373863
1034769631
1118698a36
12b789393
137284c60
144891211
1530bc1a6
hex2128adf

34769631 has 16 divisors (see below), whose sum is σ = 51537920. Its totient is φ = 20705760.

The previous prime is 34769617. The next prime is 34769633. The reversal of 34769631 is 13696743.

34769631 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 34769631 - 27 = 34769503 is a prime.

It is a super-2 number, since 2×347696312 = 2417854479752322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34769631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34769633) 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, 13171 + ... + 15588.

It is an arithmetic number, because the mean of its divisors is an integer number (3221120).

Almost surely, 234769631 is an apocalyptic number.

34769631 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

34769631 is a deficient number, since it is larger than the sum of its proper divisors (16768289).

34769631 is a wasteful number, since it uses less digits than its factorization.

34769631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28806.

The product of its digits is 81648, while the sum is 39.

The square root of 34769631 is about 5896.5779058705. The cubic root of 34769631 is about 326.3873818441.

The spelling of 34769631 in words is "thirty-four million, seven hundred sixty-nine thousand, six hundred thirty-one".

Divisors: 1 3 13 31 39 93 403 1209 28759 86277 373867 891529 1121601 2674587 11589877 34769631