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2303168 = 2675397
BaseRepresentation
bin1000110010010011000000
311100000100112
420302103000
51042200133
6121210452
725401530
oct10622300
94300315
102303168
11133344a
12930a28
1362842a
1443d4c0
15307648
hex2324c0

2303168 has 56 divisors (see below), whose sum is σ = 5376672. Its totient is φ = 958464.

The previous prime is 2303159. The next prime is 2303173. The reversal of 2303168 is 8613032.

It is a tau number, because it is divible by the number of its divisors (56).

It is a plaindrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23696 + ... + 23792.

It is an arithmetic number, because the mean of its divisors is an integer number (96012).

22303168 is an apocalyptic number.

2303168 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 2303168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688336).

2303168 is an abundant number, since it is smaller than the sum of its proper divisors (3073504).

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

2303168 is an equidigital number, since it uses as much as digits as its factorization.

2303168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2303168 is about 1517.6191880706. The cubic root of 2303168 is about 132.0611898735.

Adding to 2303168 its product of nonzero digits (864), we get a palindrome (2304032).

The spelling of 2303168 in words is "two million, three hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 97 106 112 194 212 224 371 388 424 448 679 742 776 848 1358 1484 1552 1696 2716 2968 3104 3392 5141 5432 5936 6208 10282 10864 11872 20564 21728 23744 35987 41128 43456 71974 82256 143948 164512 287896 329024 575792 1151584 2303168