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3368809116 = 22354184533
BaseRepresentation
bin1100100011001011…
…1111001010011100
322200210000020100000
43020302333022130
523344403342431
61314141134300
7146324255631
oct31062771234
98623006300
103368809116
111479672172
127a025a390
13418c24a9a
1423d5ac188
1514ab459e6
hexc8cbf29c

3368809116 has 72 divisors (see below), whose sum is σ = 9046490544. Its totient is φ = 1095534720.

The previous prime is 3368809109. The next prime is 3368809123. The reversal of 3368809116 is 6119088633.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3368809109) and next prime (3368809123).

It is a super-2 number, since 2×33688091162 = 22697749720089402912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2415 + ... + 82118.

It is an arithmetic number, because the mean of its divisors is an integer number (125645702).

Almost surely, 23368809116 is an apocalyptic number.

3368809116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3368809116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523245272).

3368809116 is an abundant number, since it is smaller than the sum of its proper divisors (5677681428).

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

3368809116 is a wasteful number, since it uses less digits than its factorization.

3368809116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84593 (or 84579 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3368809116 is about 58041.4430902609. The cubic root of 3368809116 is about 1499.0822706297.

The spelling of 3368809116 in words is "three billion, three hundred sixty-eight million, eight hundred nine thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 738 972 1107 1476 2214 3321 4428 6642 9963 13284 19926 39852 84533 169066 253599 338132 507198 760797 1014396 1521594 2282391 3043188 3465853 4564782 6847173 6931706 9129564 10397559 13694346 13863412 20541519 20795118 27388692 31192677 41083038 41590236 62385354 82166076 93578031 124770708 187156062 280734093 374312124 561468186 842202279 1122936372 1684404558 3368809116