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303242292 = 22347312821
BaseRepresentation
bin10010000100110…
…001110000110100
3210010121022020000
4102010301300310
51110112223132
650031311300
710341342213
oct2204616064
9703538200
10303242292
11146199471
128567b530
134aa94812
142c3b907a
151b94e87c
hex12131c34

303242292 has 60 divisors (see below), whose sum is σ = 803657316. Its totient is φ = 99688320.

The previous prime is 303242257. The next prime is 303242293. The reversal of 303242292 is 292242303.

It can be written as a sum of positive squares in 2 ways, for example, as 81649296 + 221592996 = 9036^2 + 14886^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303242293) 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 19 ways as a sum of consecutive naturals, for example, 17242 + ... + 30062.

Almost surely, 2303242292 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 303242292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401828658).

303242292 is an abundant number, since it is smaller than the sum of its proper divisors (500415024).

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

303242292 is a wasteful number, since it uses less digits than its factorization.

303242292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12910 (or 12899 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 303242292 is about 17413.8534506295. The cubic root of 303242292 is about 671.8359771877.

Adding to 303242292 its reverse (292242303), we get a palindrome (595484595).

The spelling of 303242292 in words is "three hundred three million, two hundred forty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 292 324 438 657 876 1314 1971 2628 3942 5913 7884 11826 12821 23652 25642 38463 51284 76926 115389 153852 230778 346167 461556 692334 935933 1038501 1384668 1871866 2077002 2807799 3743732 4154004 5615598 8423397 11231196 16846794 25270191 33693588 50540382 75810573 101080764 151621146 303242292