Search a number
-
+
3370333806 = 233721142257
BaseRepresentation
bin1100100011100011…
…0011011001101110
322200212212200211000
43020320303121232
523400301140211
61314233541130
7146343236040
oct31070633156
98625780730
103370333806
11147a513744
127a08747a6
13419339a78
1423d887a90
1514ad47656
hexc8e3366e

3370333806 has 64 divisors (see below), whose sum is σ = 8600348160. Its totient is φ = 958366080.

The previous prime is 3370333801. The next prime is 3370333807. The reversal of 3370333806 is 6083330733.

It is a super-2 number, since 2×33703338062 = 22718299927732891272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3370333801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58630 + ... + 100886.

It is an arithmetic number, because the mean of its divisors is an integer number (134380440).

Almost surely, 23370333806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3370333806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300174080).

3370333806 is an abundant number, since it is smaller than the sum of its proper divisors (5230014354).

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

3370333806 is a wasteful number, since it uses less digits than its factorization.

3370333806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42486 (or 42480 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The square root of 3370333806 is about 58054.5760987022. The cubic root of 3370333806 is about 1499.3083931690.

The spelling of 3370333806 in words is "three billion, three hundred seventy million, three hundred thirty-three thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 211 378 422 633 1266 1477 1899 2954 3798 4431 5697 8862 11394 13293 26586 39879 42257 79758 84514 126771 253542 295799 380313 591598 760626 887397 1140939 1774794 2281878 2662191 5324382 7986573 8916227 15973146 17832454 26748681 53497362 62413589 80246043 124827178 160492086 187240767 240738129 374481534 481476258 561722301 1123444602 1685166903 3370333806