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34049763 = 3211231267
BaseRepresentation
bin1000000111100…
…0111011100011
32101001220111100
42001320323203
532204043023
63213445443
7562263306
oct201707343
971056440
1034049763
1118247100
12b4a0883
1370923b7
144744b3d
152ec8c43
hex2078ee3

34049763 has 18 divisors (see below), whose sum is σ = 54062372. Its totient is φ = 20635560.

The previous prime is 34049753. The next prime is 34049777. The reversal of 34049763 is 36794043.

34049763 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 34049763 - 29 = 34049251 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34049713) 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 17 ways as a sum of consecutive naturals, for example, 14545 + ... + 16722.

Almost surely, 234049763 is an apocalyptic number.

34049763 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34049763 is a deficient number, since it is larger than the sum of its proper divisors (20012609).

34049763 is a wasteful number, since it uses less digits than its factorization.

34049763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31295 (or 31281 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 34049763 is about 5835.2174766670. The cubic root of 34049763 is about 324.1191548480.

The spelling of 34049763 in words is "thirty-four million, forty-nine thousand, seven hundred sixty-three".

Divisors: 1 3 9 11 33 99 121 363 1089 31267 93801 281403 343937 1031811 3095433 3783307 11349921 34049763