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2345868 = 2233729107
BaseRepresentation
bin1000111100101110001100
311102011221000
420330232030
51100031433
6122140300
725640160
oct10745614
94364830
102345868
111362538
12951690
136419b5
14450ca0
15315113
hex23cb8c

2345868 has 96 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 641088.

The previous prime is 2345867. The next prime is 2345869. The reversal of 2345868 is 8685432.

2345868 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 (2345867) and next prime (2345869).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 216 + 313 + 44 + 58 + 85 + 63 + 86 .

It is not an unprimeable number, because it can be changed into a prime (2345867) 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 31 ways as a sum of consecutive naturals, for example, 21871 + ... + 21977.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

22345868 is an apocalyptic number.

2345868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2345868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2345868 is an abundant number, since it is smaller than the sum of its proper divisors (4911732).

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

2345868 is a wasteful number, since it uses less digits than its factorization.

2345868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2345868 is about 1531.6226689364. The cubic root of 2345868 is about 132.8723217383.

The spelling of 2345868 in words is "two million, three hundred forty-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 107 108 116 126 174 189 203 214 252 261 321 348 378 406 428 522 609 642 749 756 783 812 963 1044 1218 1284 1498 1566 1827 1926 2247 2436 2889 2996 3103 3132 3654 3852 4494 5481 5778 6206 6741 7308 8988 9309 10962 11556 12412 13482 18618 20223 21721 21924 26964 27927 37236 40446 43442 55854 65163 80892 83781 86884 111708 130326 167562 195489 260652 335124 390978 586467 781956 1172934 2345868