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318019920 = 24351325083
BaseRepresentation
bin10010111101001…
…001100101010000
3211011102002022120
4102331021211100
51122403114140
651320134240
710611060531
oct2275114520
9734362276
10318019920
11153572089
128a607380
1350b69b8a
1430344688
151cdbd1d0
hex12f49950

318019920 has 40 divisors (see below), whose sum is σ = 985862496. Its totient is φ = 84805248.

The previous prime is 318019913. The next prime is 318019931. The reversal of 318019920 is 29910813.

318019920 is digitally balanced in base 3, 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 (40).

It is a super-2 number, since 2×3180199202 = 202273339033612800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 662302 + ... + 662781.

Almost surely, 2318019920 is an apocalyptic number.

318019920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

318019920 is an abundant number, since it is smaller than the sum of its proper divisors (667842576).

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

318019920 is a wasteful number, since it uses less digits than its factorization.

318019920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325099 (or 1325093 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 318019920 is about 17833.1130204460. The cubic root of 318019920 is about 682.5766716049.

The spelling of 318019920 in words is "three hundred eighteen million, nineteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1325083 2650166 3975249 5300332 6625415 7950498 10600664 13250830 15900996 19876245 21201328 26501660 31801992 39752490 53003320 63603984 79504980 106006640 159009960 318019920