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296338968 = 2332172391013
BaseRepresentation
bin10001101010011…
…100011000011000
3202122121120122100
4101222130120120
51101330321333
645223323400
710225561002
oct2152343030
9678546570
10296338968
11142303942
12832b0560
1349518603
142b4dd372
151b039213
hex11a9c618

296338968 has 96 divisors (see below), whose sum is σ = 854193600. Its totient is φ = 92488704.

The previous prime is 296338943. The next prime is 296338979. The reversal of 296338968 is 869833692.

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

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, 292030 + ... + 293042.

It is an arithmetic number, because the mean of its divisors is an integer number (8897850).

Almost surely, 2296338968 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 296338968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427096800).

296338968 is an abundant number, since it is smaller than the sum of its proper divisors (557854632).

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

296338968 is a wasteful number, since it uses less digits than its factorization.

296338968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1274 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 296338968 is about 17214.4987728368. The cubic root of 296338968 is about 666.6986689082.

The spelling of 296338968 in words is "two hundred ninety-six million, three hundred thirty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 239 306 408 478 612 717 956 1013 1224 1434 1912 2026 2151 2868 3039 4052 4063 4302 5736 6078 8104 8126 8604 9117 12156 12189 16252 17208 17221 18234 24312 24378 32504 34442 36468 36567 48756 51663 68884 72936 73134 97512 103326 137768 146268 154989 206652 242107 292536 309978 413304 484214 619956 726321 968428 1239912 1452642 1936856 2178963 2905284 4115819 4357926 5810568 8231638 8715852 12347457 16463276 17431704 24694914 32926552 37042371 49389828 74084742 98779656 148169484 296338968