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2306048 = 212563
BaseRepresentation
bin1000110011000000000000
311100011022012
420303000000
51042243143
6121232052
725413113
oct10630000
94304265
102306048
111335628
12932628
13629834
1444057a
15308418
hex233000

2306048 has 26 divisors (see below), whose sum is σ = 4619724. Its totient is φ = 1150976.

The previous prime is 2306041. The next prime is 2306053. The reversal of 2306048 is 8406032.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2306041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3815 + ... + 4377.

22306048 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 2306048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309862).

2306048 is an abundant number, since it is smaller than the sum of its proper divisors (2313676).

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

2306048 is an frugal number, since it uses more digits than its factorization.

2306048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2306048 is about 1518.5677462662. The cubic root of 2306048 is about 132.1162123188.

The spelling of 2306048 in words is "two million, three hundred six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 563 1024 1126 2048 2252 4096 4504 9008 18016 36032 72064 144128 288256 576512 1153024 2306048