Search a number
-
+
317313024 = 2123721731
BaseRepresentation
bin10010111010011…
…101000000000000
3211010002011122020
4102322131000000
51122213004044
651253041440
710602054600
oct2272350000
9733064566
10317313024
11153129a76
128a326280
13509801b2
14301dcc00
151cccda19
hex12e9d000

317313024 has 312 divisors, whose sum is σ = 1075707648. Its totient is φ = 82575360.

The previous prime is 317313011. The next prime is 317313049. The reversal of 317313024 is 420313713.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 317312985 and 317313003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10235889 + ... + 10235919.

Almost surely, 2317313024 is an apocalyptic number.

317313024 is a gapful number since it is divisible by the number (34) 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 317313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537853824).

317313024 is an abundant number, since it is smaller than the sum of its proper divisors (758394624).

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

317313024 is a wasteful number, since it uses less digits than its factorization.

317313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 317313024 is about 17813.2822354557. The cubic root of 317313024 is about 682.0705516634.

Adding to 317313024 its reverse (420313713), we get a palindrome (737626737).

The spelling of 317313024 in words is "three hundred seventeen million, three hundred thirteen thousand, twenty-four".