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303314022 = 232117919391
BaseRepresentation
bin10010000101000…
…011010001100110
3210010201221121200
4102011003101212
51110122022042
650033023330
710342061304
oct2205032146
9703657550
10303314022
11146238350
12856b4b46
134aabb36b
142c3d7274
151b965c4c
hex12143466

303314022 has 48 divisors (see below), whose sum is σ = 726036480. Its totient is φ = 90745200.

The previous prime is 303313999. The next prime is 303314029. The reversal of 303314022 is 220413303.

303314022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 303313986 and 303314004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303314029) 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 23 ways as a sum of consecutive naturals, for example, 5947 + ... + 25337.

It is an arithmetic number, because the mean of its divisors is an integer number (15125760).

Almost surely, 2303314022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303314022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363018240).

303314022 is an abundant number, since it is smaller than the sum of its proper divisors (422722458).

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

303314022 is a wasteful number, since it uses less digits than its factorization.

303314022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19489 (or 19486 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 303314022 is about 17415.9128959696. The cubic root of 303314022 is about 671.8889458277. Note that the first 3 decimals are identical.

Adding to 303314022 its reverse (220413303), we get a palindrome (523727325).

The spelling of 303314022 in words is "three hundred three million, three hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 158 198 237 474 711 869 1422 1738 2607 5214 7821 15642 19391 38782 58173 116346 174519 213301 349038 426602 639903 1279806 1531889 1919709 3063778 3839418 4595667 9191334 13787001 16850779 27574002 33701558 50552337 101104674 151657011 303314022