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3318367668 = 22371117320759
BaseRepresentation
bin1100010111001010…
…0100010110110100
322120021002112200020
43011302210112310
523244000231133
61305140045140
7145142442210
oct30562442664
98507075606
103318367668
11145314a820
127873937b0
1340b643785
142369db940
151464d00b3
hexc5ca45b4

3318367668 has 96 divisors (see below), whose sum is σ = 9709701120. Its totient is φ = 856890240.

The previous prime is 3318367597. The next prime is 3318367673. The reversal of 3318367668 is 8667638133.

It is a happy number.

It is a super-2 number, since 2×33183676682 = 22023127960055516448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3318367668.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149473 + ... + 170231.

It is an arithmetic number, because the mean of its divisors is an integer number (101142720).

Almost surely, 23318367668 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 3318367668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854850560).

3318367668 is an abundant number, since it is smaller than the sum of its proper divisors (6391333452).

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

3318367668 is a wasteful number, since it uses less digits than its factorization.

3318367668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20957 (or 20955 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 3318367668 is about 57605.2746543231. The cubic root of 3318367668 is about 1491.5626546758.

The spelling of 3318367668 in words is "three billion, three hundred eighteen million, three hundred sixty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 173 231 308 346 462 519 692 924 1038 1211 1903 2076 2422 3633 3806 4844 5709 7266 7612 11418 13321 14532 20759 22836 26642 39963 41518 53284 62277 79926 83036 124554 145313 159852 228349 249108 290626 435939 456698 581252 685047 871878 913396 1370094 1598443 1743756 2740188 3196886 3591307 4795329 6393772 7182614 9590658 10773921 14365228 19181316 21547842 25139149 39504377 43095684 50278298 75417447 79008754 100556596 118513131 150834894 158017508 237026262 276530639 301669788 474052524 553061278 829591917 1106122556 1659183834 3318367668