Search a number
-
+
317470752 = 253631439
BaseRepresentation
bin10010111011000…
…011100000100000
3211010101012000000
4102323003200200
51122233031002
651300300000
710603312464
oct2273034040
9733335000
10317470752
11153227525
128a3a1600
1350a06c21
14302404a4
151cd1061c
hex12ec3820

317470752 has 168 divisors, whose sum is σ = 969534720. Its totient is φ = 102176640.

The previous prime is 317470729. The next prime is 317470757. The reversal of 317470752 is 257074713.

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 (317470757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 722949 + ... + 723387.

It is an arithmetic number, because the mean of its divisors is an integer number (5771040).

Almost surely, 2317470752 is an apocalyptic number.

317470752 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 317470752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484767360).

317470752 is an abundant number, since it is smaller than the sum of its proper divisors (652063968).

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

317470752 is an equidigital number, since it uses as much as digits as its factorization.

317470752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 317470752 is about 17817.7089436325. The cubic root of 317470752 is about 682.1835460836.

The spelling of 317470752 in words is "three hundred seventeen million, four hundred seventy thousand, seven hundred fifty-two".