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2342304 = 25332711
BaseRepresentation
bin1000111011110110100000
311102000001000
420323312200
51044423204
6122112000
725623606
oct10736640
94360030
102342304
11135a898
1294b600
136401a3
1444d876
15314039
hex23bda0

2342304 has 48 divisors (see below), whose sum is σ = 6834240. Its totient is φ = 780480.

The previous prime is 2342293. The next prime is 2342309. The reversal of 2342304 is 4032432.

2342304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (2342309) 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 7 ways as a sum of consecutive naturals, for example, 492 + ... + 2219.

It is an arithmetic number, because the mean of its divisors is an integer number (142380).

22342304 is an apocalyptic number.

2342304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2342304 is an abundant number, since it is smaller than the sum of its proper divisors (4491936).

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

2342304 is a wasteful number, since it uses less digits than its factorization.

2342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2342304 is about 1530.4587547530. The cubic root of 2342304 is about 132.8049981184.

Adding to 2342304 its reverse (4032432), we get a palindrome (6374736).

The spelling of 2342304 in words is "two million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2711 5422 8133 10844 16266 21688 24399 32532 43376 48798 65064 73197 86752 97596 130128 146394 195192 260256 292788 390384 585576 780768 1171152 2342304