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2327328 = 25328081
BaseRepresentation
bin1000111000001100100000
311101020111100
420320030200
51043433303
6121514400
725532133
oct10701440
94336440
102327328
11134a613
12942a00
13636423
1444821a
1530e8a3
hex238320

2327328 has 36 divisors (see below), whose sum is σ = 6619158. Its totient is φ = 775680.

The previous prime is 2327323. The next prime is 2327341. The reversal of 2327328 is 8237232.

It can be written as a sum of positive squares in only one way, i.e., 2108304 + 219024 = 1452^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2327323) 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 5 ways as a sum of consecutive naturals, for example, 3753 + ... + 4328.

22327328 is an apocalyptic number.

It is an amenable number.

2327328 is an abundant number, since it is smaller than the sum of its proper divisors (4291830).

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

2327328 is a wasteful number, since it uses less digits than its factorization.

2327328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8097 (or 8086 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 2327328 is about 1525.5582584746. The cubic root of 2327328 is about 132.5213540996.

The spelling of 2327328 in words is "two million, three hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8081 16162 24243 32324 48486 64648 72729 96972 129296 145458 193944 258592 290916 387888 581832 775776 1163664 2327328