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263430468 = 2235725531
BaseRepresentation
bin11111011001110…
…10000101000100
3200100200122200000
433230322011010
51014414233333
642050121300
76346056600
oct1754720504
9610618600
10263430468
11125777234
1274280230
1342765822
1426db4500
15181d8713
hexfb3a144

263430468 has 108 divisors (see below), whose sum is σ = 803445552. Its totient is φ = 75252240.

The previous prime is 263430451. The next prime is 263430481. The reversal of 263430468 is 864034362.

It is a happy number.

263430468 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 (108).

It is a super-2 number, since 2×2634304682 = 138791222941398048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44863 + ... + 50393.

Almost surely, 2263430468 is an apocalyptic number.

263430468 is a gapful number since it is divisible by the number (28) 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 263430468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401722776).

263430468 is an abundant number, since it is smaller than the sum of its proper divisors (540015084).

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

263430468 is a wasteful number, since it uses less digits than its factorization.

263430468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5564 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 263430468 is about 16230.5412109393. The cubic root of 263430468 is about 641.0452223939.

The spelling of 263430468 in words is "two hundred sixty-three million, four hundred thirty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 882 972 1134 1323 1701 1764 2268 2646 3402 3969 5292 5531 6804 7938 11062 11907 15876 16593 22124 23814 33186 38717 47628 49779 66372 77434 99558 116151 149337 154868 199116 232302 271019 298674 348453 448011 464604 542038 597348 696906 813057 896022 1045359 1084076 1344033 1393812 1626114 1792044 2090718 2439171 2688066 3136077 3252228 4181436 4878342 5376132 6272154 7317513 9408231 9756684 12544308 14635026 18816462 21952539 29270052 37632924 43905078 65857617 87810156 131715234 263430468