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2327472 = 243272309
BaseRepresentation
bin1000111000001110110000
311101020200200
420320032300
51043434342
6121515200
725532430
oct10701660
94336620
102327472
11134a734
12942b00
13636504
144482c0
1530e94c
hex2383b0

2327472 has 60 divisors (see below), whose sum is σ = 7447440. Its totient is φ = 664704.

The previous prime is 2327467. The next prime is 2327473. The reversal of 2327472 is 2747232.

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2327473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147 + ... + 2162.

It is an arithmetic number, because the mean of its divisors is an integer number (124124).

22327472 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 2327472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723720).

2327472 is an abundant number, since it is smaller than the sum of its proper divisors (5119968).

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

2327472 is a wasteful number, since it uses less digits than its factorization.

2327472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2321 counting only the distinct ones).

The product of its digits is 4704, while the sum is 27.

The square root of 2327472 is about 1525.6054535823. The cubic root of 2327472 is about 132.5240872312.

It can be divided in two parts, 23 and 27472, that added together give a triangular number (27495 = T234).

The spelling of 2327472 in words is "two million, three hundred twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2309 4618 6927 9236 13854 16163 18472 20781 27708 32326 36944 41562 48489 55416 64652 83124 96978 110832 129304 145467 166248 193956 258608 290934 332496 387912 581868 775824 1163736 2327472