Search a number
-
+
729704034 = 232971812309
BaseRepresentation
bin101011011111100…
…110011001100010
31212212001210202100
4223133212121202
52443301012114
6200224031230
724040245003
oct5337463142
91785053670
10729704034
11344998494
12184462516
13b823c747
146ccab1aa
15440dd909
hex2b7e6662

729704034 has 48 divisors (see below), whose sum is σ = 1606845240. Its totient is φ = 239293440.

The previous prime is 729704029. The next prime is 729704051. The reversal of 729704034 is 430407927.

It can be written as a sum of positive squares in 4 ways, for example, as 513702225 + 216001809 = 22665^2 + 14697^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 729704034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314872 + ... + 317180.

Almost surely, 2729704034 is an apocalyptic number.

729704034 is an abundant number, since it is smaller than the sum of its proper divisors (877141206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

729704034 is a wasteful number, since it uses less digits than its factorization.

729704034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 729704034 is about 27013.0345203940. The cubic root of 729704034 is about 900.2896327080.

The spelling of 729704034 in words is "seven hundred twenty-nine million, seven hundred four thousand, thirty-four".

Divisors: 1 2 3 6 9 18 97 181 194 291 362 543 582 873 1086 1629 1746 2309 3258 4618 6927 13854 17557 20781 35114 41562 52671 105342 158013 223973 316026 417929 447946 671919 835858 1253787 1343838 2015757 2507574 3761361 4031514 7522722 40539113 81078226 121617339 243234678 364852017 729704034