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315330016 = 2531417753
BaseRepresentation
bin10010110010111…
…000110111100000
3210222100102110111
4102302320313200
51121211030031
651142341104
710546155331
oct2262706740
9728312414
10315330016
11151aa5121
128972a794
1350437711
142dc44288
151ca3b1b1
hex12cb8de0

315330016 has 48 divisors (see below), whose sum is σ = 656546688. Its totient is φ = 148838400.

The previous prime is 315330007. The next prime is 315330017. The reversal of 315330016 is 610033513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315330017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36796 + ... + 44548.

It is an arithmetic number, because the mean of its divisors is an integer number (13678056).

Almost surely, 2315330016 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 315330016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328273344).

315330016 is an abundant number, since it is smaller than the sum of its proper divisors (341216672).

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

315330016 is a wasteful number, since it uses less digits than its factorization.

315330016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7835 (or 7827 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 315330016 is about 17757.5340630393. The cubic root of 315330016 is about 680.6467433999.

Adding to 315330016 its reverse (610033513), we get a palindrome (925363529).

The spelling of 315330016 in words is "three hundred fifteen million, three hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 16 31 32 41 62 82 124 164 248 328 496 656 992 1271 1312 2542 5084 7753 10168 15506 20336 31012 40672 62024 124048 240343 248096 317873 480686 635746 961372 1271492 1922744 2542984 3845488 5085968 7690976 9854063 10171936 19708126 39416252 78832504 157665008 315330016