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2328648 = 233783167
BaseRepresentation
bin1000111000100001001000
311101022022020
420320201020
51044004043
6121524440
725536030
oct10704110
94338266
102328648
111350603
12943720
13636bca
144488c0
1530ee83
hex238848

2328648 has 64 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 653376.

The previous prime is 2328637. The next prime is 2328649. The reversal of 2328648 is 8468232.

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

It is not an unprimeable number, because it can be changed into a prime (2328649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13861 + ... + 14027.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

22328648 is an apocalyptic number.

2328648 is a gapful number since it is divisible by the number (28) 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 2328648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2328648 is an abundant number, since it is smaller than the sum of its proper divisors (4445112).

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

2328648 is a wasteful number, since it uses less digits than its factorization.

2328648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 2328648 is about 1525.9908256605. The cubic root of 2328648 is about 132.5464035878.

The spelling of 2328648 in words is "two million, three hundred twenty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 167 168 249 332 334 498 501 581 664 668 996 1002 1162 1169 1336 1743 1992 2004 2324 2338 3486 3507 4008 4648 4676 6972 7014 9352 13861 13944 14028 27722 28056 41583 55444 83166 97027 110888 166332 194054 291081 332664 388108 582162 776216 1164324 2328648