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268323104 = 25717312273
BaseRepresentation
bin11111111111001…
…00100100100000
3200200220020002202
433333210210200
51022142314404
642343032332
76435465050
oct1777444440
9620806082
10268323104
11128509135
1275a3b6a8
134378978a
14278c9560
151885321e
hexffe4920

268323104 has 96 divisors (see below), whose sum is σ = 660151296. Its totient is φ = 104693760.

The previous prime is 268323101. The next prime is 268323113. The reversal of 268323104 is 401323862.

It is not an unprimeable number, because it can be changed into a prime (268323101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116912 + ... + 119184.

It is an arithmetic number, because the mean of its divisors is an integer number (6876576).

Almost surely, 2268323104 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 268323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330075648).

268323104 is an abundant number, since it is smaller than the sum of its proper divisors (391828192).

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

268323104 is a wasteful number, since it uses less digits than its factorization.

268323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 268323104 is about 16380.5709302210. The cubic root of 268323104 is about 644.9895669646.

Adding to 268323104 its reverse (401323862), we get a palindrome (669646966).

The spelling of 268323104 in words is "two hundred sixty-eight million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 68 112 119 124 136 217 224 238 248 272 434 476 496 527 544 868 952 992 1054 1736 1904 2108 2273 3472 3689 3808 4216 4546 6944 7378 8432 9092 14756 15911 16864 18184 29512 31822 36368 38641 59024 63644 70463 72736 77282 118048 127288 140926 154564 254576 270487 281852 309128 493241 509152 540974 563704 618256 986482 1081948 1127408 1197871 1236512 1972964 2163896 2254816 2395742 3945928 4327792 4791484 7891856 8385097 8655584 9582968 15783712 16770194 19165936 33540388 38331872 67080776 134161552 268323104