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2332928 = 2813701
BaseRepresentation
bin1000111001100100000000
311101112011202
420321210000
51044123203
6122000332
725554353
oct10714400
94345152
102332928
111353844
129460a8
13638b40
1444a29a
15311388
hex239900

2332928 has 36 divisors (see below), whose sum is σ = 5022108. Its totient is φ = 1075200.

The previous prime is 2332903. The next prime is 2332931. The reversal of 2332928 is 8292332.

2332928 is digitally balanced in base 5, because in such base 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 1183744 + 1149184 = 1088^2 + 1072^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2332928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2978 + ... + 3678.

It is an arithmetic number, because the mean of its divisors is an integer number (139503).

22332928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2332928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511054).

2332928 is an abundant number, since it is smaller than the sum of its proper divisors (2689180).

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

2332928 is an equidigital number, since it uses as much as digits as its factorization.

2332928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 716 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 2332928 is about 1527.3925494122. The cubic root of 2332928 is about 132.6275596064.

It can be divided in two parts, 2 and 332928, that multiplied together give a square (665856 = 8162).

The spelling of 2332928 in words is "two million, three hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 701 832 1402 1664 2804 3328 5608 9113 11216 18226 22432 36452 44864 72904 89728 145808 179456 291616 583232 1166464 2332928