Search a number
-
+
317387070 = 2325711132271
BaseRepresentation
bin10010111010101…
…111000100111110
3211010012221012200
4102322233010332
51122222341240
651254412330
710602513510
oct2272570476
9733187180
10317387070
1115317a670
128a3610a6
13509a7b00
143021bbb0
151cce5930
hex12eaf13e

317387070 has 288 divisors, whose sum is σ = 1118168064. Its totient is φ = 60652800.

The previous prime is 317387041. The next prime is 317387071. The reversal of 317387070 is 70783713.

It is a happy number.

317387070 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317387071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1171035 + ... + 1171305.

It is an arithmetic number, because the mean of its divisors is an integer number (3882528).

Almost surely, 2317387070 is an apocalyptic number.

317387070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 317387070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559084032).

317387070 is an abundant number, since it is smaller than the sum of its proper divisors (800780994).

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

317387070 is a wasteful number, since it uses less digits than its factorization.

317387070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 317387070 is about 17815.3605071579. The cubic root of 317387070 is about 682.1236019789.

It can be divided in two parts, 3173870 and 70, that added together give a triangular number (3173940 = T2519).

The spelling of 317387070 in words is "three hundred seventeen million, three hundred eighty-seven thousand, seventy".