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317040328 = 231121931697
BaseRepresentation
bin10010111001011…
…010011011001000
3211002120022120101
4102321122123020
51122130242303
651243135144
710566540553
oct2271323310
9732508511
10317040328
11152a63100
128a2144b4
13508b6037
143016b69a
151cc77d1d
hex12e5a6c8

317040328 has 48 divisors (see below), whose sum is σ = 657176940. Its totient is φ = 143278080.

The previous prime is 317040323. The next prime is 317040337. The reversal of 317040328 is 823040713.

317040328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 308986084 + 8054244 = 17578^2 + 2838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 317040296 and 317040305.

It is not an unprimeable number, because it can be changed into a prime (317040323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185976 + ... + 187672.

Almost surely, 2317040328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317040328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328588470).

317040328 is an abundant number, since it is smaller than the sum of its proper divisors (340136612).

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

317040328 is a wasteful number, since it uses less digits than its factorization.

317040328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 317040328 is about 17805.6263018182. The cubic root of 317040328 is about 681.8751072030.

The spelling of 317040328 in words is "three hundred seventeen million, forty thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 193 242 386 484 772 968 1544 1697 2123 3394 4246 6788 8492 13576 16984 18667 23353 37334 46706 74668 93412 149336 186824 205337 327521 410674 655042 821348 1310084 1642696 2620168 3602731 7205462 14410924 28821848 39630041 79260082 158520164 317040328