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3337042016 = 257111518969
BaseRepresentation
bin1100011011100111…
…0011100001100000
322121120020022001202
43012321303201200
523313240321031
61311044220332
7145460250320
oct30671634140
98546208052
103337042016
111462745070
1279169a6a8
13412481699
1423929d280
15147e6d2cb
hexc6e73860

3337042016 has 96 divisors (see below), whose sum is σ = 8246085120. Its totient is φ = 1291392000.

The previous prime is 3337042003. The next prime is 3337042031. The reversal of 3337042016 is 6102407333.

It is a happy number.

It is a super-2 number, since 2×33370420162 = 22271698833098688512, 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 3337042016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367580 + ... + 376548.

It is an arithmetic number, because the mean of its divisors is an integer number (85896720).

Almost surely, 23337042016 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 3337042016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123042560).

3337042016 is an abundant number, since it is smaller than the sum of its proper divisors (4909043104).

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

3337042016 is a wasteful number, since it uses less digits than its factorization.

3337042016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9148 (or 9140 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 3337042016 is about 57767.1361242705. The cubic root of 3337042016 is about 1494.3553804538.

Adding to 3337042016 its reverse (6102407333), we get a palindrome (9439449349).

The spelling of 3337042016 in words is "three billion, three hundred thirty-seven million, forty-two thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 151 154 176 224 302 308 352 604 616 1057 1208 1232 1661 2114 2416 2464 3322 4228 4832 6644 8456 8969 11627 13288 16912 17938 23254 26576 33824 35876 46508 53152 62783 71752 93016 98659 125566 143504 186032 197318 251132 287008 372064 394636 502264 690613 789272 1004528 1354319 1381226 1578544 2009056 2708638 2762452 3157088 5417276 5524904 9480233 10834552 11049808 14897509 18960466 21669104 22099616 29795018 37920932 43338208 59590036 75841864 104282563 119180072 151683728 208565126 238360144 303367456 417130252 476720288 834260504 1668521008 3337042016