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315317772 = 22357112383
BaseRepresentation
bin10010110010110…
…101111000001100
3210222022210200000
4102302311320030
51121210132042
651142204300
710546104540
oct2262657014
9728283600
10315317772
11151a96a00
1289723690
1350431c83
142dc3da20
151ca3774c
hex12cb5e0c

315317772 has 216 divisors, whose sum is σ = 1041051648. Its totient is φ = 81686880.

The previous prime is 315317731. The next prime is 315317773. The reversal of 315317772 is 277713513.

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

It is not an unprimeable number, because it can be changed into a prime (315317773) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 823093 + ... + 823475.

Almost surely, 2315317772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315317772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520525824).

315317772 is an abundant number, since it is smaller than the sum of its proper divisors (725733876).

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

315317772 is a wasteful number, since it uses less digits than its factorization.

315317772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 406 counting only the distinct ones).

The product of its digits is 30870, while the sum is 36.

The square root of 315317772 is about 17757.1893046169. The cubic root of 315317772 is about 680.6379336385.

The spelling of 315317772 in words is "three hundred fifteen million, three hundred seventeen thousand, seven hundred seventy-two".