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315211264 = 29797793
BaseRepresentation
bin10010110010011…
…011111000000000
3210222010101120021
4102302123320000
51121143230024
651140023224
710545152164
oct2262337000
9728111507
10315211264
11151a23985
1289691b14
13503c5654
142dc12ca4
151ca15de4
hex12c9be00

315211264 has 40 divisors (see below), whose sum is σ = 637860960. Its totient is φ = 155590656.

The previous prime is 315211261. The next prime is 315211277. The reversal of 315211264 is 462112513.

It is a happy number.

315211264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315211261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36552 + ... + 44344.

It is an arithmetic number, because the mean of its divisors is an integer number (15946524).

Almost surely, 2315211264 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 315211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318930480).

315211264 is an abundant number, since it is smaller than the sum of its proper divisors (322649696).

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

315211264 is an frugal number, since it uses more digits than its factorization.

315211264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7890 (or 7874 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 315211264 is about 17754.1900406636. The cubic root of 315211264 is about 680.5612897412.

Adding to 315211264 its reverse (462112513), we get a palindrome (777323777).

The spelling of 315211264 in words is "three hundred fifteen million, two hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 1264 2528 5056 7793 10112 15586 20224 31172 40448 62344 124688 249376 498752 615647 997504 1231294 1995008 2462588 3990016 4925176 9850352 19700704 39401408 78802816 157605632 315211264