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1364307327 = 33375979293
BaseRepresentation
bin101000101010001…
…1010110101111111
310112002011222211000
41101110122311333
510243230313302
6343213501343
745544264245
oct12124326577
93462158730
101364307327
11640130319
12320aa1853
13189862656
14cd2a0795
157eb9431c
hex5151ad7f

1364307327 has 64 divisors (see below), whose sum is σ = 2145024000. Its totient is φ = 856013184.

The previous prime is 1364307323. The next prime is 1364307359. The reversal of 1364307327 is 7237034631.

1364307327 is a `hidden beast` number, since 1 + 3 + 643 + 0 + 7 + 3 + 2 + 7 = 666.

It is not a de Polignac number, because 1364307327 - 22 = 1364307323 is a prime.

It is a super-2 number, since 2×13643073272 = 3722668965011769858, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1364307291 and 1364307300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364307323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4656193 + ... + 4656485.

It is an arithmetic number, because the mean of its divisors is an integer number (33516000).

Almost surely, 21364307327 is an apocalyptic number.

1364307327 is a deficient number, since it is larger than the sum of its proper divisors (780716673).

1364307327 is a wasteful number, since it uses less digits than its factorization.

1364307327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 1364307327 is about 36936.5310634337. The cubic root of 1364307327 is about 1109.1000814103.

The spelling of 1364307327 in words is "one billion, three hundred sixty-four million, three hundred seven thousand, three hundred twenty-seven".

Divisors: 1 3 9 27 37 59 79 111 177 237 293 333 531 711 879 999 1593 2133 2183 2637 2923 4661 6549 7911 8769 10841 13983 17287 19647 23147 26307 32523 41949 51861 58941 69441 78921 97569 125847 155583 172457 208323 292707 466749 517371 624969 639619 856439 1365673 1552113 1918857 2569317 4097019 4656339 5756571 7707951 12291057 17269713 23123853 36873171 50529901 151589703 454769109 1364307327