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3332104416 = 253211569807
BaseRepresentation
bin1100011010011011…
…1110000011100000
322121012221102221200
43012212332003200
523311004320131
61310350321200
7145400264064
oct30646760340
98535842850
103332104416
11145a982403
1278bab9200
13411443124
14238775aa4
151477e52e6
hexc69be0e0

3332104416 has 36 divisors (see below), whose sum is σ = 9475672752. Its totient is φ = 1110701376.

The previous prime is 3332104403. The next prime is 3332104417. The reversal of 3332104416 is 6144012333.

3332104416 is a `hidden beast` number, since 3 + 3 + 3 + 210 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33321044162 = 22205839678253402112, 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 3332104416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332104417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5784616 + ... + 5785191.

It is an arithmetic number, because the mean of its divisors is an integer number (263213132).

Almost surely, 23332104416 is an apocalyptic number.

3332104416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3332104416 is an abundant number, since it is smaller than the sum of its proper divisors (6143568336).

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

3332104416 is a wasteful number, since it uses less digits than its factorization.

3332104416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11569823 (or 11569812 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3332104416 is about 57724.3832015553. The cubic root of 3332104416 is about 1493.6179837555.

Adding to 3332104416 its reverse (6144012333), we get a palindrome (9476116749).

The spelling of 3332104416 in words is "three billion, three hundred thirty-two million, one hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11569807 23139614 34709421 46279228 69418842 92558456 104128263 138837684 185116912 208256526 277675368 370233824 416513052 555350736 833026104 1110701472 1666052208 3332104416