Search a number
-
+
317000640 = 26351122729
BaseRepresentation
bin10010111001010…
…000101111000000
3211002111022010110
4102321100233000
51122123010030
651242231320
710566314055
oct2271205700
9732438113
10317000640
11152a36300
128a1b5540
13508a0c58
143015b02c
151cc6b1b0
hex12e50bc0

317000640 has 168 divisors, whose sum is σ = 1106698320. Its totient is φ = 76820480.

The previous prime is 317000639. The next prime is 317000647. The reversal of 317000640 is 46000713.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317000647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114796 + ... + 117524.

It is an arithmetic number, because the mean of its divisors is an integer number (6587490).

Almost surely, 2317000640 is an apocalyptic number.

317000640 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 317000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553349160).

317000640 is an abundant number, since it is smaller than the sum of its proper divisors (789697680).

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

317000640 is a wasteful number, since it uses less digits than its factorization.

317000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 317000640 is about 17804.5117877464. The cubic root of 317000640 is about 681.8466530010.

The spelling of 317000640 in words is "three hundred seventeen million, six hundred forty", and thus it is an aban number.