Search a number
-
+
27344033 = 2379101149
BaseRepresentation
bin110100001001…
…1110010100001
31220110012221222
41220103302201
524000002113
62414024425
7451264133
oct150236241
956405858
1027344033
1114486a82
1291a8115
135885102
1438bb053
152601e08
hex1a13ca1

27344033 has 16 divisors (see below), whose sum is σ = 29376000. Its totient is φ = 25396800.

The previous prime is 27344027. The next prime is 27344063. The reversal of 27344033 is 33044372.

It is a cyclic number.

It is not a de Polignac number, because 27344033 - 212 = 27339937 is a prime.

It is a super-2 number, since 2×273440332 = 1495392281410178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27343993 and 27344011.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183443 + ... + 183591.

It is an arithmetic number, because the mean of its divisors is an integer number (1836000).

Almost surely, 227344033 is an apocalyptic number.

27344033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

27344033 is a deficient number, since it is larger than the sum of its proper divisors (2031967).

27344033 is a wasteful number, since it uses less digits than its factorization.

27344033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352.

The product of its (nonzero) digits is 6048, while the sum is 26.

The square root of 27344033 is about 5229.1522257437. The cubic root of 27344033 is about 301.2688223635.

The spelling of 27344033 in words is "twenty-seven million, three hundred forty-four thousand, thirty-three".

Divisors: 1 23 79 101 149 1817 2323 3427 7979 11771 15049 183517 270733 346127 1188871 27344033