Search a number
-
+
27344064 = 263113107
BaseRepresentation
bin110100001001…
…1110011000000
31220110020000010
41220103303000
524000002224
62414024520
7451264206
oct150236300
956406003
1027344064
1114487000
1291a8140
135885127
1438bb076
152601e29
hex1a13cc0

27344064 has 112 divisors (see below), whose sum is σ = 80320896. Its totient is φ = 8208640.

The previous prime is 27344063. The next prime is 27344099. The reversal of 27344064 is 46044372.

It is not an unprimeable number, because it can be changed into a prime (27344063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255499 + ... + 255605.

Almost surely, 227344064 is an apocalyptic number.

27344064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40160448).

27344064 is an abundant number, since it is smaller than the sum of its proper divisors (52976832).

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

27344064 is a wasteful number, since it uses less digits than its factorization.

27344064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 27344064 is about 5229.1551898944. The cubic root of 27344064 is about 301.2689362132.

The spelling of 27344064 in words is "twenty-seven million, three hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 107 121 132 176 192 214 242 264 321 352 363 428 484 528 642 704 726 856 968 1056 1177 1284 1331 1452 1712 1936 2112 2354 2568 2662 2904 3424 3531 3872 3993 4708 5136 5324 5808 6848 7062 7744 7986 9416 10272 10648 11616 12947 14124 15972 18832 20544 21296 23232 25894 28248 31944 37664 38841 42592 51788 56496 63888 75328 77682 85184 103576 112992 127776 142417 155364 207152 225984 255552 284834 310728 414304 427251 569668 621456 828608 854502 1139336 1242912 1709004 2278672 2485824 3418008 4557344 6836016 9114688 13672032 27344064