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315018432 = 26321753607
BaseRepresentation
bin10010110001101…
…100110011000000
3210221202121001100
4102301230303000
51121121042212
651131534400
710543420041
oct2261546300
9727677040
10315018432
11151902013
12895ba400
1350358951
142dba28c8
151c9c8bdc
hex12c6ccc0

315018432 has 168 divisors, whose sum is σ = 975701376. Its totient is φ = 96804864.

The previous prime is 315018427. The next prime is 315018443. The reversal of 315018432 is 234810513.

It is a happy number.

315018432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3150184322 = 198473224999477248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315018396 and 315018405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518673 + ... + 519279.

Almost surely, 2315018432 is an apocalyptic number.

315018432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315018432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487850688).

315018432 is an abundant number, since it is smaller than the sum of its proper divisors (660682944).

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

315018432 is a wasteful number, since it uses less digits than its factorization.

315018432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 315018432 is about 17748.7586044771. The cubic root of 315018432 is about 680.4224825562.

Adding to 315018432 its reverse (234810513), we get a palindrome (549828945).

The spelling of 315018432 in words is "three hundred fifteen million, eighteen thousand, four hundred thirty-two".