Search a number
-
+
3534729029 = 131737432277
BaseRepresentation
bin1101001010101111…
…1010111101000101
3100010100012211122222
43102223322331011
524214342312104
61342425302125
7153410462306
oct32253727505
910110184588
103534729029
111554298267
12827934945
13444408c50
1425763c7ad
1515a4bc1be
hexd2afaf45

3534729029 has 16 divisors (see below), whose sum is σ = 4139494128. Its totient is φ = 2987891712.

The previous prime is 3534729019. The next prime is 3534729059. The reversal of 3534729029 is 9209274353.

3534729029 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 237098404 + 3297630625 = 15398^2 + 57425^2 .

It is not a de Polignac number, because 3534729029 - 24 = 3534729013 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3534729019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207962 + ... + 224315.

It is an arithmetic number, because the mean of its divisors is an integer number (258718383).

Almost surely, 23534729029 is an apocalyptic number.

It is an amenable number.

3534729029 is a deficient number, since it is larger than the sum of its proper divisors (604765099).

3534729029 is a wasteful number, since it uses less digits than its factorization.

3534729029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432344.

The product of its (nonzero) digits is 408240, while the sum is 44.

The square root of 3534729029 is about 59453.5871836174. The cubic root of 3534729029 is about 1523.2997665191.

The spelling of 3534729029 in words is "three billion, five hundred thirty-four million, seven hundred twenty-nine thousand, twenty-nine".

Divisors: 1 13 17 37 221 481 629 8177 432277 5619601 7348709 15994249 95533217 207925237 271902233 3534729029