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268797312 = 2733741271
BaseRepresentation
bin10000000001011…
…000010110000000
3200201210022121000
4100001120112000
51022303003222
642401132000
76442511430
oct2001302600
9621708530
10268797312
11128802443
127602a000
13438c4584
14279b02c0
15188e89ac
hex10058580

268797312 has 256 divisors, whose sum is σ = 932198400. Its totient is φ = 74649600.

The previous prime is 268797289. The next prime is 268797323. The reversal of 268797312 is 213797862.

268797312 = 883 + 893 + ... + 1833.

268797312 is a `hidden beast` number, since 268 + 79 + 7 + 312 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (254016) is a multiple of the sum of its prime divisors (324).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991737 + ... + 992007.

It is an arithmetic number, because the mean of its divisors is an integer number (3641400).

Almost surely, 2268797312 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 268797312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466099200).

268797312 is an abundant number, since it is smaller than the sum of its proper divisors (663401088).

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

268797312 is a wasteful number, since it uses less digits than its factorization.

268797312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 268797312 is about 16395.0392497243. The cubic root of 268797312 is about 645.3693071645.

It can be divided in two parts, 26879 and 7312, that added together give a triangular number (34191 = T261).

The spelling of 268797312 in words is "two hundred sixty-eight million, seven hundred ninety-seven thousand, three hundred twelve".