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268300704 = 25372317359
BaseRepresentation
bin11111111110111…
…11000110100000
3200200212002101010
433333133012200
51022141110304
642342340520
76435342540
oct1777370640
9620762333
10268300704
111284a3321
1275a2a740
134377c519
14278c1320
151884b789
hexffdf1a0

268300704 has 96 divisors (see below), whose sum is σ = 839946240. Its totient is φ = 73320192.

The previous prime is 268300699. The next prime is 268300717. The reversal of 268300704 is 407003862.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6777 + ... + 24135.

It is an arithmetic number, because the mean of its divisors is an integer number (8749440).

Almost surely, 2268300704 is an apocalyptic number.

268300704 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 268300704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419973120).

268300704 is an abundant number, since it is smaller than the sum of its proper divisors (571645536).

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

268300704 is a wasteful number, since it uses less digits than its factorization.

268300704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17402 (or 17394 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 268300704 is about 16379.8871790986. The cubic root of 268300704 is about 644.9716182452.

The spelling of 268300704 in words is "two hundred sixty-eight million, three hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 15456 17359 34718 52077 69436 104154 121513 138872 208308 243026 277744 364539 399257 416616 486052 555488 729078 798514 833232 972104 1197771 1458156 1597028 1666464 1944208 2395542 2794799 2916312 3194056 3888416 4791084 5589598 5832624 6388112 8384397 9582168 11179196 11665248 12776224 16768794 19164336 22358392 33537588 38328672 44716784 67075176 89433568 134150352 268300704