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2328656 = 2411101131
BaseRepresentation
bin1000111000100001010000
311101022022112
420320201100
51044004111
6121524452
725536041
oct10704120
94338275
102328656
111350610
12943728
13636c05
144488c8
1530ee8b
hex238850

2328656 has 40 divisors (see below), whose sum is σ = 5008608. Its totient is φ = 1040000.

The previous prime is 2328653. The next prime is 2328691. The reversal of 2328656 is 6568232.

It is a d-powerful number, because it can be written as 25 + 39 + 217 + 87 + 64 + 57 + 64 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328653) 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 7 ways as a sum of consecutive naturals, for example, 17711 + ... + 17841.

22328656 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 2328656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504304).

2328656 is an abundant number, since it is smaller than the sum of its proper divisors (2679952).

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

2328656 is a wasteful number, since it uses less digits than its factorization.

2328656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 2328656 is about 1525.9934469060. The cubic root of 2328656 is about 132.5465553740.

It can be divided in two parts, 232 and 8656, that added together give a palindrome (8888).

The spelling of 2328656 in words is "two million, three hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 101 131 176 202 262 404 524 808 1048 1111 1441 1616 2096 2222 2882 4444 5764 8888 11528 13231 17776 23056 26462 52924 105848 145541 211696 291082 582164 1164328 2328656