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315124240 = 24517231709
BaseRepresentation
bin10010110010000…
…110101000010000
3210221221222012011
4102302012220100
51121132433430
651134112304
710544340364
oct2262065020
9727858164
10315124240
11151974562
128964b694
1350394b62
142dbcd2a4
151c9ea22a
hex12c86a10

315124240 has 40 divisors (see below), whose sum is σ = 775765080. Its totient is φ = 118634496.

The previous prime is 315124193. The next prime is 315124241. The reversal of 315124240 is 42421513.

It can be written as a sum of positive squares in 4 ways, for example, as 130599184 + 184525056 = 11428^2 + 13584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (315124241) 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, 114495 + ... + 117214.

It is an arithmetic number, because the mean of its divisors is an integer number (19394127).

Almost surely, 2315124240 is an apocalyptic number.

It is an amenable number.

315124240 is an abundant number, since it is smaller than the sum of its proper divisors (460640840).

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

315124240 is a wasteful number, since it uses less digits than its factorization.

315124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231739 (or 231733 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 315124240 is about 17751.7390697362. The cubic root of 315124240 is about 680.4986538484.

Adding to 315124240 its reverse (42421513), we get a palindrome (357545753).

The spelling of 315124240 in words is "three hundred fifteen million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 231709 463418 926836 1158545 1853672 2317090 3707344 3939053 4634180 7878106 9268360 15756212 18536720 19695265 31512424 39390530 63024848 78781060 157562120 315124240