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268898304 = 212379277
BaseRepresentation
bin10000000001110…
…001000000000000
3200201222110010110
4100001301000000
51022314221204
642403231320
76443412033
oct2001610000
9621873113
10268898304
11128871304
1276078540
134392b52c
14279d901a
1518918889
hex10071000

268898304 has 104 divisors (see below), whose sum is σ = 728671360. Its totient is φ = 88178688.

The previous prime is 268898261. The next prime is 268898321. The reversal of 268898304 is 403898862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970614 + ... + 970890.

Almost surely, 2268898304 is an apocalyptic number.

268898304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268898304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364335680).

268898304 is an abundant number, since it is smaller than the sum of its proper divisors (459773056).

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

268898304 is an equidigital number, since it uses as much as digits as its factorization.

268898304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 268898304 is about 16398.1189165099. The cubic root of 268898304 is about 645.4501226750.

The spelling of 268898304 in words is "two hundred sixty-eight million, eight hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 277 316 384 474 512 554 632 768 831 948 1024 1108 1264 1536 1662 1896 2048 2216 2528 3072 3324 3792 4096 4432 5056 6144 6648 7584 8864 10112 12288 13296 15168 17728 20224 21883 26592 30336 35456 40448 43766 53184 60672 65649 70912 80896 87532 106368 121344 131298 141824 161792 175064 212736 242688 262596 283648 323584 350128 425472 485376 525192 567296 700256 850944 970752 1050384 1134592 1400512 1701888 2100768 2801024 3403776 4201536 5602048 8403072 11204096 16806144 22408192 33612288 44816384 67224576 89632768 134449152 268898304