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2328288 = 25379307
BaseRepresentation
bin1000111000011011100000
311101021210220
420320123200
51044001123
6121523040
725535004
oct10703340
94337726
102328288
111350306
12943480
136369b1
14448704
1530ece3
hex2386e0

2328288 has 48 divisors (see below), whose sum is σ = 6209280. Its totient is φ = 763776.

The previous prime is 2328283. The next prime is 2328289. The reversal of 2328288 is 8828232.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328281) 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, 7431 + ... + 7737.

It is an arithmetic number, because the mean of its divisors is an integer number (129360).

22328288 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 2328288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104640).

2328288 is an abundant number, since it is smaller than the sum of its proper divisors (3880992).

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

2328288 is a wasteful number, since it uses less digits than its factorization.

2328288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 391 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 2328288 is about 1525.8728649530. The cubic root of 2328288 is about 132.5395728482.

The spelling of 2328288 in words is "two million, three hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 307 316 474 614 632 921 948 1228 1264 1842 1896 2456 2528 3684 3792 4912 7368 7584 9824 14736 24253 29472 48506 72759 97012 145518 194024 291036 388048 582072 776096 1164144 2328288