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315841344 = 26371318077
BaseRepresentation
bin10010110100110…
…101101101000000
3211000022101212120
4102310311231000
51121323410334
651201324240
710553415150
oct2264655500
9730271776
10315841344
11152314305
1289936680
1350586390
142dd38760
151cadc949
hex12d35b40

315841344 has 112 divisors (see below), whose sum is σ = 1028565888. Its totient is φ = 83294208.

The previous prime is 315841303. The next prime is 315841369. The reversal of 315841344 is 443148513.

315841344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8434 + ... + 26510.

It is an arithmetic number, because the mean of its divisors is an integer number (9183624).

Almost surely, 2315841344 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 315841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514282944).

315841344 is an abundant number, since it is smaller than the sum of its proper divisors (712724544).

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

315841344 is a wasteful number, since it uses less digits than its factorization.

315841344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18112 (or 18102 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 315841344 is about 17771.9257257057. The cubic root of 315841344 is about 681.0144489464.

Adding to 315841344 its reverse (443148513), we get a palindrome (758989857).

The spelling of 315841344 in words is "three hundred fifteen million, eight hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 18077 36154 54231 72308 108462 126539 144616 216924 235001 253078 289232 379617 433848 470002 506156 578464 705003 759234 867696 940004 1012312 1156928 1410006 1518468 1645007 1735392 1880008 2024624 2820012 3036936 3290014 3470784 3760016 4049248 4935021 5640024 6073872 6580028 7520032 8098496 9870042 11280048 12147744 13160056 15040064 19740084 22560096 24295488 26320112 39480168 45120192 52640224 78960336 105280448 157920672 315841344