Search a number
-
+
315241040 = 2453940513
BaseRepresentation
bin10010110010100…
…011001001010000
3210222011220102002
4102302203021100
51121200203130
651140413132
710545335042
oct2262431120
9728156362
10315241040
11151a44294
12896a71a8
135040607a
142dc1da92
151ca1eb45
hex12ca3250

315241040 has 20 divisors (see below), whose sum is σ = 732935604. Its totient is φ = 126096384.

The previous prime is 315241037. The next prime is 315241061. The reversal of 315241040 is 40142513.

It can be written as a sum of positive squares in 2 ways, for example, as 98327056 + 216913984 = 9916^2 + 14728^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1970177 + ... + 1970336.

Almost surely, 2315241040 is an apocalyptic number.

It is an amenable number.

315241040 is an abundant number, since it is smaller than the sum of its proper divisors (417694564).

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

315241040 is a wasteful number, since it uses less digits than its factorization.

315241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940526 (or 3940520 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 315241040 is about 17755.0285834746. The cubic root of 315241040 is about 680.5827184963.

Adding to 315241040 its reverse (40142513), we get a palindrome (355383553).

The spelling of 315241040 in words is "three hundred fifteen million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3940513 7881026 15762052 19702565 31524104 39405130 63048208 78810260 157620520 315241040