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318367940 = 225112293449
BaseRepresentation
bin10010111110011…
…110100011000100
3211012001202201012
4102332132203010
51123000233230
651331421352
710614040262
oct2276364304
9735052635
10318367940
1115378a600
128a754858
1350c5c3c7
14303d5432
151ce3b395
hex12f9e8c4

318367940 has 72 divisors (see below), whose sum is σ = 739027800. Its totient is φ = 115118080.

The previous prime is 318367919. The next prime is 318367949. The reversal of 318367940 is 49763813.

318367940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 117635716 + 200732224 = 10846^2 + 14168^2 .

It is not an unprimeable number, because it can be changed into a prime (318367949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 708836 + ... + 709284.

It is an arithmetic number, because the mean of its divisors is an integer number (10264275).

Almost surely, 2318367940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318367940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369513900).

318367940 is an abundant number, since it is smaller than the sum of its proper divisors (420659860).

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

318367940 is a wasteful number, since it uses less digits than its factorization.

318367940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 318367940 is about 17842.8680430025. The cubic root of 318367940 is about 682.8255697795.

The spelling of 318367940 in words is "three hundred eighteen million, three hundred sixty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 293 449 484 586 605 898 1172 1210 1465 1796 2245 2420 2930 3223 4490 4939 5860 6446 8980 9878 12892 16115 19756 24695 32230 35453 49390 54329 64460 70906 98780 108658 131557 141812 177265 217316 263114 271645 354530 526228 543290 657785 709060 1086580 1315570 1447127 2631140 2894254 5788508 7235635 14471270 15918397 28942540 31836794 63673588 79591985 159183970 318367940