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12024324 = 22321325693
BaseRepresentation
bin101101110111…
…101000000100
3211121220021100
4231313220010
511034234244
61105420100
7204130224
oct55675004
924556240
1012024324
116873064
12403a630
1326500b0
141850084
1510c7b69
hexb77a04

12024324 has 36 divisors (see below), whose sum is σ = 32734156. Its totient is φ = 3699648.

The previous prime is 12024319. The next prime is 12024343. The reversal of 12024324 is 42342021.

12024324 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6350400 + 5673924 = 2520^2 + 2382^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12024297 and 12024306.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12379 + ... + 13314.

Almost surely, 212024324 is an apocalyptic number.

It is an amenable number.

12024324 is an abundant number, since it is smaller than the sum of its proper divisors (20709832).

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

12024324 is a wasteful number, since it uses less digits than its factorization.

12024324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25716 (or 25711 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12024324 is about 3467.6107047937. The cubic root of 12024324 is about 229.0974331613.

Adding to 12024324 its reverse (42342021), we get a palindrome (54366345).

The spelling of 12024324 in words is "twelve million, twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 25693 51386 77079 102772 154158 231237 308316 334009 462474 668018 924948 1002027 1336036 2004054 3006081 4008108 6012162 12024324