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263934240 = 2535549863
BaseRepresentation
bin11111011101101…
…01000100100000
3200101122020201020
433232311010200
51020031343430
642105005440
76353255403
oct1756650440
9611566636
10263934240
11125a90779
1274483880
13428b0c0b
14270a5d3a
1518287b10
hexfbb5120

263934240 has 48 divisors (see below), whose sum is σ = 831394368. Its totient is φ = 70382336.

The previous prime is 263934221. The next prime is 263934241. The reversal of 263934240 is 42439362.

263934240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2639342402 = 139322566088755200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (263934241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274452 + ... + 275411.

It is an arithmetic number, because the mean of its divisors is an integer number (17320716).

Almost surely, 2263934240 is an apocalyptic number.

263934240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263934240 is an abundant number, since it is smaller than the sum of its proper divisors (567460128).

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

263934240 is a wasteful number, since it uses less digits than its factorization.

263934240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549881 (or 549873 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 263934240 is about 16246.0530591279. The cubic root of 263934240 is about 641.4535970665.

The spelling of 263934240 in words is "two hundred sixty-three million, nine hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 549863 1099726 1649589 2199452 2749315 3299178 4398904 5498630 6598356 8247945 8797808 10997260 13196712 16495890 17595616 21994520 26393424 32991780 43989040 52786848 65983560 87978080 131967120 263934240