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2330304 = 26353229
BaseRepresentation
bin1000111000111011000000
311101101120120
420320323000
51044032204
6121540240
725543614
oct10707300
94341516
102330304
111351879
12944680
136378a2
14449344
153106d9
hex238ec0

2330304 has 56 divisors (see below), whose sum is σ = 6309360. Its totient is φ = 758784.

The previous prime is 2330303. The next prime is 2330387. The reversal of 2330304 is 4030332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10062 + ... + 10290.

22330304 is an apocalyptic number.

2330304 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 2330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154680).

2330304 is an abundant number, since it is smaller than the sum of its proper divisors (3979056).

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

2330304 is a wasteful number, since it uses less digits than its factorization.

2330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 2330304 is about 1526.5333275104. The cubic root of 2330304 is about 132.5778159258.

Adding to 2330304 its reverse (4030332), we get a palindrome (6360636).

The spelling of 2330304 in words is "two million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 229 318 424 458 636 687 848 916 1272 1374 1696 1832 2544 2748 3392 3664 5088 5496 7328 10176 10992 12137 14656 21984 24274 36411 43968 48548 72822 97096 145644 194192 291288 388384 582576 776768 1165152 2330304