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2309488 = 241971107
BaseRepresentation
bin1000110011110101110000
311100100000121
420303311300
51042400423
6121300024
725426126
oct10636560
94310017
102309488
111338175
12934614
1362b27c
14441916
1530945d
hex233d70

2309488 has 40 divisors (see below), whose sum is σ = 4821120. Its totient is φ = 1068480.

The previous prime is 2309477. The next prime is 2309491. The reversal of 2309488 is 8849032.

2309488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 21531 + ... + 21637.

It is an arithmetic number, because the mean of its divisors is an integer number (120528).

22309488 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 2309488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410560).

2309488 is an abundant number, since it is smaller than the sum of its proper divisors (2511632).

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

2309488 is a wasteful number, since it uses less digits than its factorization.

2309488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2309488 is about 1519.6999703889. The cubic root of 2309488 is about 132.1818735671.

The spelling of 2309488 in words is "two million, three hundred nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 19 38 71 76 107 142 152 214 284 304 428 568 856 1136 1349 1712 2033 2698 4066 5396 7597 8132 10792 15194 16264 21584 30388 32528 60776 121552 144343 288686 577372 1154744 2309488