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3118112340 = 2235718141017
BaseRepresentation
bin1011100111011010…
…1001111001010100
322001022021112000020
42321312221321110
522341214043330
61233223545140
7140161342350
oct27166517124
98038245006
103118112340
111360102a52
127302bb1b0
133a8cca1b5
14218190460
15133b25210
hexb9da9e54

3118112340 has 96 divisors (see below), whose sum is σ = 10033330944. Its totient is φ = 708756480.

The previous prime is 3118112329. The next prime is 3118112353. The reversal of 3118112340 is 432118113.

It is a self number, because there is not a number n which added to its sum of digits gives 3118112340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55512 + ... + 96528.

It is an arithmetic number, because the mean of its divisors is an integer number (104513864).

Almost surely, 23118112340 is an apocalyptic number.

3118112340 is a gapful number since it is divisible by the number (30) 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 3118112340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016665472).

3118112340 is an abundant number, since it is smaller than the sum of its proper divisors (6915218604).

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

3118112340 is a wasteful number, since it uses less digits than its factorization.

3118112340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41217 (or 41215 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 3118112340 is about 55840.0603509703. The cubic root of 3118112340 is about 1460.9339648704.

The spelling of 3118112340 in words is "three billion, one hundred eighteen million, one hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 181 210 362 420 543 724 905 1086 1267 1810 2172 2534 2715 3620 3801 5068 5430 6335 7602 10860 12670 15204 19005 25340 38010 41017 76020 82034 123051 164068 205085 246102 287119 410170 492204 574238 615255 820340 861357 1148476 1230510 1435595 1722714 2461020 2871190 3445428 4306785 5742380 7424077 8613570 14848154 17227140 22272231 29696308 37120385 44544462 51968539 74240770 89088924 103937078 111361155 148481540 155905617 207874156 222722310 259842695 311811234 445444620 519685390 623622468 779528085 1039370780 1559056170 3118112340