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318480240 = 243513102077
BaseRepresentation
bin10010111110111…
…001111101110000
3211012021110202110
4102332321331300
51123012331430
651334045320
710615015551
oct2276717560
9735243673
10318480240
11153856a11
128a7a9840
1350c9b560
1430424328
151ce5e7b0
hex12fb9f70

318480240 has 80 divisors (see below), whose sum is σ = 1063244448. Its totient is φ = 78394368.

The previous prime is 318480191. The next prime is 318480269. The reversal of 318480240 is 42084813.

318480240 = T71 + T72 + ... + T1240.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 318480198 and 318480207.

It is a congruent number.

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, 47919 + ... + 54158.

Almost surely, 2318480240 is an apocalyptic number.

318480240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

318480240 is an abundant number, since it is smaller than the sum of its proper divisors (744764208).

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

318480240 is a wasteful number, since it uses less digits than its factorization.

318480240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102106 (or 102100 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 318480240 is about 17846.0146811550. The cubic root of 318480240 is about 682.9058461804.

The spelling of 318480240 in words is "three hundred eighteen million, four hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 102077 204154 306231 408308 510385 612462 816616 1020770 1224924 1327001 1531155 1633232 2041540 2449848 2654002 3062310 3981003 4083080 4899696 5308004 6124620 6635005 7962006 8166160 10616008 12249240 13270010 15924012 19905015 21232016 24498480 26540020 31848024 39810030 53080040 63696048 79620060 106160080 159240120 318480240