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2320928 = 25294161
BaseRepresentation
bin1000110110101000100000
311100220201022
420312220200
51043232203
6121425012
725504361
oct10665040
94326638
102320928
111345825
1293b168
1363353c
14445b68
1530ca38
hex236a20

2320928 has 48 divisors (see below), whose sum is σ = 4921560. Its totient is φ = 1075200.

The previous prime is 2320909. The next prime is 2320933. The reversal of 2320928 is 8290232.

It can be written as a sum of positive squares in 4 ways, for example, as 753424 + 1567504 = 868^2 + 1252^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2320897 and 2320906.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38018 + ... + 38078.

22320928 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 2320928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460780).

2320928 is an abundant number, since it is smaller than the sum of its proper divisors (2600632).

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

2320928 is a wasteful number, since it uses less digits than its factorization.

2320928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2320928 is about 1523.4592216400. The cubic root of 2320928 is about 132.3997675568.

The spelling of 2320928 in words is "two million, three hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 41 58 61 82 116 122 164 232 244 328 464 488 656 928 976 1189 1312 1769 1952 2378 2501 3538 4756 5002 7076 9512 10004 14152 19024 20008 28304 38048 40016 56608 72529 80032 145058 290116 580232 1160464 2320928