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2309984 = 25371951
BaseRepresentation
bin1000110011111101100000
311100100200222
420303331200
51042404414
6121302212
725430435
oct10637540
94310628
102309984
111338586
12934968
1362b571
14441b8c
1530968e
hex233f60

2309984 has 24 divisors (see below), whose sum is σ = 4673088. Its totient is φ = 1123200.

The previous prime is 2309969. The next prime is 2309999. The reversal of 2309984 is 4899032.

2309984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2309969) and next prime (2309999).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 209 + ... + 2159.

It is an arithmetic number, because the mean of its divisors is an integer number (194712).

22309984 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 2309984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336544).

2309984 is an abundant number, since it is smaller than the sum of its proper divisors (2363104).

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

2309984 is a wasteful number, since it uses less digits than its factorization.

2309984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 2309984 is about 1519.8631517344. The cubic root of 2309984 is about 132.1913356234.

The spelling of 2309984 in words is "two million, three hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 1951 3902 7804 15608 31216 62432 72187 144374 288748 577496 1154992 2309984