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3301138036 = 22724329109
BaseRepresentation
bin1100010011000011…
…0101111001110100
322112001200012001201
43010300311321310
523230042404121
61303322502244
7144543132100
oct30460657164
98461605051
103301138036
111444451959
12781664984
13407bc0321
142345d4900
15144c29e91
hexc4c35e74

3301138036 has 54 divisors (see below), whose sum is σ = 6880846770. Its totient is φ = 1381720032.

The previous prime is 3301137941. The next prime is 3301138069. The reversal of 3301138036 is 6308311033.

3301138036 is digitally balanced in base 2, 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 only one way, i.e., 2204865936 + 1096272100 = 46956^2 + 33110^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3301137995 and 3301138013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 357850 + ... + 366958.

Almost surely, 23301138036 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 3301138036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440423385).

3301138036 is an abundant number, since it is smaller than the sum of its proper divisors (3579708734).

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

3301138036 is a wasteful number, since it uses less digits than its factorization.

3301138036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9213 (or 9161 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 3301138036 is about 57455.5309435045. The cubic root of 3301138036 is about 1488.9766761444.

Adding to 3301138036 its reverse (6308311033), we get a palindrome (9609449069).

The spelling of 3301138036 in words is "three billion, three hundred one million, one hundred thirty-eight thousand, thirty-six".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 602 1204 1849 2107 3698 4214 7396 8428 9109 12943 18218 25886 36436 51772 63763 90601 127526 181202 255052 362404 391687 446341 783374 892682 1566748 1785364 2741809 5483618 10967236 16842541 19192663 33685082 38385326 67370164 76770652 117897787 235795574 471591148 825284509 1650569018 3301138036