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303034424 = 237211312267
BaseRepresentation
bin10010000011111…
…111000000111000
3210010012202002012
4102003333000320
51110034100144
650023025052
710336515200
oct2203770070
9703182065
10303034424
11146067280
128559b188
134aa21014
142c363400
151b90ce9e
hex120ff038

303034424 has 96 divisors (see below), whose sum is σ = 744629760. Its totient is φ = 114206400.

The previous prime is 303034423. The next prime is 303034429. The reversal of 303034424 is 424430303.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 303034424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303034421) 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 23 ways as a sum of consecutive naturals, for example, 132539 + ... + 134805.

It is an arithmetic number, because the mean of its divisors is an integer number (7756560).

Almost surely, 2303034424 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 303034424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372314880).

303034424 is an abundant number, since it is smaller than the sum of its proper divisors (441595336).

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

303034424 is a wasteful number, since it uses less digits than its factorization.

303034424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 303034424 is about 17407.8839610103. The cubic root of 303034424 is about 671.6824309676.

Adding to 303034424 its reverse (424430303), we get a palindrome (727464727).

The spelling of 303034424 in words is "three hundred three million, thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 49 56 62 77 88 98 124 154 196 217 248 308 341 392 434 539 616 682 868 1078 1364 1519 1736 2156 2267 2387 2728 3038 4312 4534 4774 6076 9068 9548 12152 15869 16709 18136 19096 24937 31738 33418 49874 63476 66836 70277 99748 111083 126952 133672 140554 174559 199496 222166 281108 349118 444332 491939 562216 698236 773047 888664 983878 1221913 1396472 1546094 1967756 2443826 3092188 3443573 3935512 4887652 5411329 6184376 6887146 9775304 10822658 13774292 21645316 27548584 37879303 43290632 75758606 151517212 303034424