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303420114 = 233171073089
BaseRepresentation
bin10010000101011…
…101001011010010
3210010221100011000
4102011131023102
51110133420424
650035202430
710343012514
oct2205351322
9703840130
10303420114
11146300028
1285746416
134ab2773a
142c423bb4
151b9873c9
hex1215d2d2

303420114 has 64 divisors (see below), whose sum is σ = 720835200. Its totient is φ = 94270464.

The previous prime is 303420113. The next prime is 303420151. The reversal of 303420114 is 411024303.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (303420113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96682 + ... + 99770.

It is an arithmetic number, because the mean of its divisors is an integer number (11263050).

Almost surely, 2303420114 is an apocalyptic number.

303420114 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 303420114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360417600).

303420114 is an abundant number, since it is smaller than the sum of its proper divisors (417415086).

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

303420114 is a wasteful number, since it uses less digits than its factorization.

303420114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 303420114 is about 17418.9584648451. The cubic root of 303420114 is about 671.9672735976.

Adding to 303420114 its reverse (411024303), we get a palindrome (714444417).

The spelling of 303420114 in words is "three hundred three million, four hundred twenty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 107 153 214 306 321 459 642 918 963 1819 1926 2889 3089 3638 5457 5778 6178 9267 10914 16371 18534 27801 32742 49113 52513 55602 83403 98226 105026 157539 166806 315078 330523 472617 661046 945234 991569 1417851 1983138 2835702 2974707 5618891 5949414 8924121 11237782 16856673 17848242 33713346 50570019 101140038 151710057 303420114