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2323824 = 24348413
BaseRepresentation
bin1000110111010101110000
311101001200120
420313111300
51043330244
6121450240
725515666
oct10672560
94331616
102323824
111347a18
12940980
13634959
14446c36
1530d819
hex237570

2323824 has 20 divisors (see below), whose sum is σ = 6003336. Its totient is φ = 774592.

The previous prime is 2323823. The next prime is 2323831. The reversal of 2323824 is 4283232.

2323824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2 + 35 + 27 + 311 + 85 + 221 + 47 .

It is a junction number, because it is equal to n+sod(n) for n = 2323794 and 2323803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323823) 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 3 ways as a sum of consecutive naturals, for example, 24159 + ... + 24254.

22323824 is an apocalyptic number.

2323824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2323824 is an abundant number, since it is smaller than the sum of its proper divisors (3679512).

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

2323824 is a wasteful number, since it uses less digits than its factorization.

2323824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48424 (or 48418 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2323824 is about 1524.4093938309. The cubic root of 2323824 is about 132.4548131189.

The spelling of 2323824 in words is "two million, three hundred twenty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 48413 96826 145239 193652 290478 387304 580956 774608 1161912 2323824