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268072317 = 32291027097
BaseRepresentation
bin11111111101001…
…11010101111101
3200200102111002100
433332213111331
51022111303232
642333415313
76433401642
oct1776472575
9620374070
10268072317
11128357777
127593a539
13436cc596
1427861dc9
1518803c7c
hexffa757d

268072317 has 12 divisors (see below), whose sum is σ = 400568220. Its totient is φ = 172552128.

The previous prime is 268072271. The next prime is 268072381. The reversal of 268072317 is 713270862.

It can be written as a sum of positive squares in 2 ways, for example, as 115154361 + 152917956 = 10731^2 + 12366^2 .

It is not a de Polignac number, because 268072317 - 211 = 268070269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268072397) 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, 513288 + ... + 513809.

It is an arithmetic number, because the mean of its divisors is an integer number (33380685).

Almost surely, 2268072317 is an apocalyptic number.

It is an amenable number.

268072317 is a deficient number, since it is larger than the sum of its proper divisors (132495903).

268072317 is a wasteful number, since it uses less digits than its factorization.

268072317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027132 (or 1027129 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 268072317 is about 16372.9141266911. The cubic root of 268072317 is about 644.7885587810.

The spelling of 268072317 in words is "two hundred sixty-eight million, seventy-two thousand, three hundred seventeen".

Divisors: 1 3 9 29 87 261 1027097 3081291 9243873 29785813 89357439 268072317