Search a number
-
+
327734306361 = 337111926331547
BaseRepresentation
bin1001100010011100111…
…11001010011000111001
31011022221100220202202000
410301032133022120321
520332144440300421
6410320431331213
732451363432360
oct4611637123071
91138840822660
10327734306361
11116a9a521150
1253625680b09
1324b9c9a0987
1411c106cc7d7
1587d2441226
hex4c4e7ca639

327734306361 has 128 divisors (see below), whose sum is σ = 639642009600. Its totient is φ = 160672610880.

The previous prime is 327734306351. The next prime is 327734306363. The reversal of 327734306361 is 163603437723.

327734306361 is a `hidden beast` number, since 3 + 2 + 7 + 7 + 3 + 4 + 3 + 0 + 636 + 1 = 666.

327734306361 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 327734306361 - 222 = 327730112057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (327734306363) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10372990 + ... + 10404536.

It is an arithmetic number, because the mean of its divisors is an integer number (4997203200).

Almost surely, 2327734306361 is an apocalyptic number.

It is an amenable number.

327734306361 is a deficient number, since it is larger than the sum of its proper divisors (311907703239).

327734306361 is a wasteful number, since it uses less digits than its factorization.

327734306361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31856 (or 31850 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The spelling of 327734306361 in words is "three hundred twenty-seven billion, seven hundred thirty-four million, three hundred six thousand, three hundred sixty-one".

Divisors: 1 3 7 9 11 19 21 27 33 57 63 77 99 133 171 189 209 231 263 297 399 513 627 693 789 1197 1463 1841 1881 2079 2367 2893 3591 4389 4997 5523 5643 7101 8679 13167 14991 16569 20251 26037 31547 34979 39501 44973 49707 54967 60753 78111 94641 104937 134919 164901 182259 220829 283923 314811 347017 384769 494703 546777 599393 662487 851769 944433 1041051 1154307 1484109 1798179 1987461 2429119 3123153 3462921 4195751 5394537 5962383 6593323 7287357 8296861 9369459 10388763 12587253 16183611 19779969 21862071 24890583 37761759 46153261 58078027 59339907 65586213 74671749 91265471 113285277 138459783 157640359 174234081 178019721 224015247 273796413 415379349 472921077 522702243 638858297 821389239 1103482513 1246138047 1418763231 1568106729 1734043949 1916574891 2464167717 3310447539 4256289693 5202131847 5749724673 9931342617 12138307643 15606395541 17249174019 29794027851 36414922929 46819186623 109244768787 327734306361