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2340768 = 25337659
BaseRepresentation
bin1000111011011110100000
311101220221010
420323132200
51044401033
6122100520
725616253
oct10733640
94356833
102340768
111359721
1294a740
1363c591
1444d09a
15313863
hex23b7a0

2340768 has 48 divisors (see below), whose sum is σ = 6320160. Its totient is φ = 758016.

The previous prime is 2340763. The next prime is 2340769. The reversal of 2340768 is 8670432.

2340768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 217 + 32 + 48 + 0 + 73 + 66 + 87 .

It is not an unprimeable number, because it can be changed into a prime (2340763) by changing a digit.

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, 3223 + ... + 3881.

It is an arithmetic number, because the mean of its divisors is an integer number (131670).

22340768 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 2340768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160080).

2340768 is an abundant number, since it is smaller than the sum of its proper divisors (3979392).

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

2340768 is a wasteful number, since it uses less digits than its factorization.

2340768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2340768 is about 1529.9568621370. The cubic root of 2340768 is about 132.7759621659.

The spelling of 2340768 in words is "two million, three hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 659 888 1184 1318 1776 1977 2636 3552 3954 5272 7908 10544 15816 21088 24383 31632 48766 63264 73149 97532 146298 195064 292596 390128 585192 780256 1170384 2340768