Search a number
-
+
327130234209 = 3283222972
BaseRepresentation
bin1001100001010100111…
…10110011110101100001
31011021101021020201112100
410300222132303311201
520324430314443314
6410140452121013
732430410053152
oct4605236636541
91137337221470
10327130234209
1111680a541869
1253497306169
1324b047aa72c
1411b943a5929
1587993bbc09
hex4c2a7b3d61

327130234209 has 27 divisors (see below), whose sum is σ = 478491381043. Its totient is φ = 215365470432.

The previous prime is 327130234183. The next prime is 327130234237. The reversal of 327130234209 is 902432031723.

The square root of 327130234209 is 571953.

It is a perfect power (a square), and thus also a powerful number.

327130234209 is a `hidden beast` number, since 3 + 2 + 7 + 1 + 302 + 342 + 0 + 9 = 666.

327130234209 is digitally balanced in base 4, 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 only one way, i.e., 153801230625 + 173329003584 = 392175^2 + 416328^2 .

It is a de Polignac number, because none of the positive numbers 2k-327130234209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (327130234259) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 142415149 + ... + 142417445.

Almost surely, 2327130234209 is an apocalyptic number.

327130234209 is the 571953-rd square number.

327130234209 is the 285977-th centered octagonal number.

It is an amenable number.

327130234209 is a deficient number, since it is larger than the sum of its proper divisors (151361146834).

327130234209 is an frugal number, since it uses more digits than its factorization.

327130234209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 2383 counting only the distinct ones).

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

Multiplying 327130234209 by its sum of digits (36), we get a square (11776688431524 = 34317182).

The spelling of 327130234209 in words is "three hundred twenty-seven billion, one hundred thirty million, two hundred thirty-four thousand, two hundred nine".

Divisors: 1 3 9 83 249 747 2297 6889 6891 20667 20673 62001 190651 571953 1715859 5276209 15824033 15828627 47472099 47485881 142416297 437925347 1313776041 3941328123 36347803801 109043411403 327130234209