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315504240 = 24351314601
BaseRepresentation
bin10010110011100…
…011011001110000
3210222200021110020
4102303203121300
51121232113430
651150203440
710550512302
oct2263433160
9728607406
10315504240
11152104007
12897b3580
1350498acc
142dc8b972
151ca72b10
hex12ce3670

315504240 has 40 divisors (see below), whose sum is σ = 978063888. Its totient is φ = 84134400.

The previous prime is 315504229. The next prime is 315504263. The reversal of 315504240 is 42405513.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 315504240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 657061 + ... + 657540.

Almost surely, 2315504240 is an apocalyptic number.

315504240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315504240 is an abundant number, since it is smaller than the sum of its proper divisors (662559648).

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

315504240 is a wasteful number, since it uses less digits than its factorization.

315504240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314617 (or 1314611 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 315504240 is about 17762.4390217110. The cubic root of 315504240 is about 680.7720757596.

Adding to 315504240 its reverse (42405513), we get a palindrome (357909753).

The spelling of 315504240 in words is "three hundred fifteen million, five hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1314601 2629202 3943803 5258404 6573005 7887606 10516808 13146010 15775212 19719015 21033616 26292020 31550424 39438030 52584040 63100848 78876060 105168080 157752120 315504240