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315941472 = 25347111583
BaseRepresentation
bin10010110101001…
…110001001100000
3211000111111020000
4102311032021200
51121340111342
651203420000
710554313110
oct2265161140
9730444200
10315941472
11152382560
1289984600
13505bcb22
142dd63040
151cb0c44c
hex12d4e260

315941472 has 240 divisors, whose sum is σ = 1159183872. Its totient is φ = 82010880.

The previous prime is 315941467. The next prime is 315941489. The reversal of 315941472 is 274149513.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 198793 + ... + 200375.

Almost surely, 2315941472 is an apocalyptic number.

315941472 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 315941472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579591936).

315941472 is an abundant number, since it is smaller than the sum of its proper divisors (843242400).

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

315941472 is a wasteful number, since it uses less digits than its factorization.

315941472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1606 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 315941472 is about 17774.7425297808. The cubic root of 315941472 is about 681.0864063934.

The spelling of 315941472 in words is "three hundred fifteen million, nine hundred forty-one thousand, four hundred seventy-two".