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3383833842 = 2321922374423
BaseRepresentation
bin1100100110110001…
…0011010011110010
322201211021120101100
43021230103103302
523412230140332
61315435145230
7146566053534
oct31154232362
98654246340
103383833842
1114870a44a4
127a52a5216
1341c08575c
1424159d854
1514c11267c
hexc9b134f2

3383833842 has 48 divisors (see below), whose sum is σ = 7722711360. Its totient is φ = 1067859936.

The previous prime is 3383833837. The next prime is 3383833877. The reversal of 3383833842 is 2483383833.

3383833842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33838338422 = 22900662940528961928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 762843 + ... + 767265.

It is an arithmetic number, because the mean of its divisors is an integer number (160889820).

Almost surely, 23383833842 is an apocalyptic number.

3383833842 is an abundant number, since it is smaller than the sum of its proper divisors (4338877518).

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

3383833842 is a wasteful number, since it uses less digits than its factorization.

3383833842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6687 (or 6684 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 3383833842 is about 58170.7301140359. The cubic root of 3383833842 is about 1501.3075771634.

It can be divided in two parts, 338383 and 3842, that added together give a square (342225 = 5852).

The spelling of 3383833842 in words is "three billion, three hundred eighty-three million, eight hundred thirty-three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 2237 4423 4474 6711 8846 13269 13422 20133 26538 39807 40266 42503 79614 84037 85006 127509 168074 252111 255018 382527 504222 756333 765054 1512666 9894251 19788502 29682753 59365506 89048259 178096518 187990769 375981538 563972307 1127944614 1691916921 3383833842