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114343168 = 283171409
BaseRepresentation
bin1101101000010…
…11110100000000
321222011020100011
412310023310000
5213232440133
615202434304
72555621002
oct664136400
9258136304
10114343168
11595a8795
1232362994
131a8c61a4
1411286372
15a0896cd
hex6d0bd00

114343168 has 36 divisors (see below), whose sum is σ = 229122180. Its totient is φ = 56950784.

The previous prime is 114343147. The next prime is 114343169. The reversal of 114343168 is 861343411.

It can be written as a sum of positive squares in 2 ways, for example, as 3504384 + 110838784 = 1872^2 + 10528^2 .

Its product of digits (6912) is a multiple of the sum of its prime divisors (1728).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114343169) 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 3 ways as a sum of consecutive naturals, for example, 80448 + ... + 81856.

It is an arithmetic number, because the mean of its divisors is an integer number (6364505).

Almost surely, 2114343168 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 114343168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114561090).

114343168 is an abundant number, since it is smaller than the sum of its proper divisors (114779012).

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

114343168 is an equidigital number, since it uses as much as digits as its factorization.

114343168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1728 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 114343168 is about 10693.1364902913. The cubic root of 114343168 is about 485.3668079261.

Adding to 114343168 its reverse (861343411), we get a palindrome (975686579).

The spelling of 114343168 in words is "one hundred fourteen million, three hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 317 634 1268 1409 2536 2818 5072 5636 10144 11272 20288 22544 40576 45088 81152 90176 180352 360704 446653 893306 1786612 3573224 7146448 14292896 28585792 57171584 114343168