Search a number
-
+
247714317 = 32291019397
BaseRepresentation
bin11101100001111…
…01001000001101
3122021010012011100
432300331020031
51001403324232
640325213313
76065352114
oct1660751015
9567105140
10247714317
11117912484
126ab61239
133c422226
1424c82c7b
1516b31c7c
hexec3d20d

247714317 has 24 divisors (see below), whose sum is σ = 373852440. Its totient is φ = 157852800.

The previous prime is 247714307. The next prime is 247714339. The reversal of 247714317 is 713417742.

247714317 is digitally balanced in base 2, 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 4 ways, for example, as 27815076 + 219899241 = 5274^2 + 14829^2 .

It is not a de Polignac number, because 247714317 - 26 = 247714253 is a prime.

It is a super-2 number, since 2×2477143172 = 122724765693552978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247714307) 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, 21663 + ... + 31059.

It is an arithmetic number, because the mean of its divisors is an integer number (15577185).

Almost surely, 2247714317 is an apocalyptic number.

It is an amenable number.

247714317 is a deficient number, since it is larger than the sum of its proper divisors (126138123).

247714317 is a wasteful number, since it uses less digits than its factorization.

247714317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9533 (or 9530 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 247714317 is about 15738.9426900285. The cubic root of 247714317 is about 628.0347907281.

The spelling of 247714317 in words is "two hundred forty-seven million, seven hundred fourteen thousand, three hundred seventeen".

Divisors: 1 3 9 29 87 101 261 303 909 2929 8787 9397 26361 28191 84573 272513 817539 949097 2452617 2847291 8541873 27523813 82571439 247714317