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3386060128 = 251124312029
BaseRepresentation
bin1100100111010011…
…0010110101100000
322201222110200021101
43021310302311200
523413312411003
61315555004144
7146624015263
oct31164626540
98658420241
103386060128
111488385100
127a5b99654
1341c684b99
142419bccda
1514c40211d
hexc9d32d60

3386060128 has 72 divisors (see below), whose sum is σ = 7348047840. Its totient is φ = 1534790400.

The previous prime is 3386060063. The next prime is 3386060147. The reversal of 3386060128 is 8210606833.

It is a super-2 number, since 2×33860601282 = 22930806380862752768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1667818 + ... + 1669846.

It is an arithmetic number, because the mean of its divisors is an integer number (102056220).

Almost surely, 23386060128 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 3386060128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674023920).

3386060128 is an abundant number, since it is smaller than the sum of its proper divisors (3961987712).

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

3386060128 is a wasteful number, since it uses less digits than its factorization.

3386060128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 3386060128 is about 58189.8627597625. The cubic root of 3386060128 is about 1501.6367508630.

The spelling of 3386060128 in words is "three billion, three hundred eighty-six million, sixty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 431 484 862 968 1724 1936 2029 3448 3872 4058 4741 6896 8116 9482 13792 16232 18964 22319 32464 37928 44638 52151 64928 75856 89276 104302 151712 178552 208604 245509 357104 417208 491018 714208 834416 874499 982036 1668832 1748998 1964072 3497996 3928144 6995992 7856288 9619489 13991984 19238978 27983968 38477956 76955912 105814379 153911824 211628758 307823648 423257516 846515032 1693030064 3386060128