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2018729340 = 2232535331771
BaseRepresentation
bin111100001010011…
…0101110101111100
312012200121002001100
41320110311311330
513113243314330
6532152213100
7101011626165
oct17024656574
95180532040
102018729340
1194657a261
1248409a190
13262304304
1415217276c
15bc362060
hex78535d7c

2018729340 has 72 divisors (see below), whose sum is σ = 6141019248. Its totient is φ = 536785920.

The previous prime is 2018729333. The next prime is 2018729369. The reversal of 2018729340 is 439278102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2018729295 and 2018729304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47655 + ... + 79425.

It is an arithmetic number, because the mean of its divisors is an integer number (85291934).

Almost surely, 22018729340 is an apocalyptic number.

2018729340 is a gapful number since it is divisible by the number (20) 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 2018729340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070509624).

2018729340 is an abundant number, since it is smaller than the sum of its proper divisors (4122289908).

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

2018729340 is a wasteful number, since it uses less digits than its factorization.

2018729340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32139 (or 32134 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2018729340 is about 44930.2719778102. The cubic root of 2018729340 is about 1263.8417515060.

The spelling of 2018729340 in words is "two billion, eighteen million, seven hundred twenty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 1059 1412 1765 2118 3177 3530 4236 5295 6354 7060 10590 12708 15885 21180 31770 31771 63540 63542 95313 127084 158855 190626 285939 317710 381252 476565 571878 635420 953130 1143756 1429695 1906260 2859390 5718780 11215163 22430326 33645489 44860652 56075815 67290978 100936467 112151630 134581956 168227445 201872934 224303260 336454890 403745868 504682335 672909780 1009364670 2018729340