Search a number
-
+
315470700 = 223452172979
BaseRepresentation
bin10010110011011…
…011001101101100
3210222121120110000
4102303123031230
51121230030300
651145344300
710550312436
oct2263331554
9728546400
10315470700
11152090896
1289798090
135048676c
142dc7d656
151ca67c00
hex12cdb36c

315470700 has 360 divisors, whose sum is σ = 1134302400. Its totient is φ = 75479040.

The previous prime is 315470693. The next prime is 315470707. The reversal of 315470700 is 7074513.

315470700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (315470693) and next prime (315470707).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (315470707) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3993261 + ... + 3993339.

It is an arithmetic number, because the mean of its divisors is an integer number (3150840).

Almost surely, 2315470700 is an apocalyptic number.

315470700 is a gapful number since it is divisible by the number (30) 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 315470700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567151200).

315470700 is an abundant number, since it is smaller than the sum of its proper divisors (818831700).

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

315470700 is a wasteful number, since it uses less digits than its factorization.

315470700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 315470700 is about 17761.4948695204. The cubic root of 315470700 is about 680.7479515148.

It can be divided in two parts, 3 and 15470700, that added together give a triangular number (15470703 = T5562).

The spelling of 315470700 in words is "three hundred fifteen million, four hundred seventy thousand, seven hundred".