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301143424 = 2729312617
BaseRepresentation
bin10001111100110…
…001010110000000
3202222122200010011
4101330301112000
51104043042144
645514314304
710314451111
oct2174612600
9688580104
10301143424
11144a9556a
1284a28994
134a50b39a
142bdd0208
151b687a34
hex11f31580

301143424 has 64 divisors (see below), whose sum is σ = 640886400. Its totient is φ = 140636160.

The previous prime is 301143373. The next prime is 301143433. The reversal of 301143424 is 424341103.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 301143395 and 301143404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113764 + ... + 116380.

It is an arithmetic number, because the mean of its divisors is an integer number (10013850).

Almost surely, 2301143424 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 301143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320443200).

301143424 is an abundant number, since it is smaller than the sum of its proper divisors (339742976).

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

301143424 is a wasteful number, since it uses less digits than its factorization.

301143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 301143424 is about 17353.4844915942. The cubic root of 301143424 is about 670.2823670586.

Adding to 301143424 its reverse (424341103), we get a palindrome (725484527).

The spelling of 301143424 in words is "three hundred one million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 128 232 248 464 496 899 928 992 1798 1856 1984 2617 3596 3712 3968 5234 7192 10468 14384 20936 28768 41872 57536 75893 81127 83744 115072 151786 162254 167488 303572 324508 334976 607144 649016 1214288 1298032 2352683 2428576 2596064 4705366 4857152 5192128 9410732 9714304 10384256 18821464 37642928 75285856 150571712 301143424