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3312064040 = 2351913213299
BaseRepresentation
bin1100010101101010…
…0001011000101000
322112211020021201112
43011122201120220
523240342022130
61304353005452
7145035036245
oct30532413050
98484207645
103312064040
11144a63480a
12785253888
1340a24750c
14235c3a5cc
15145b87495
hexc56a1628

3312064040 has 64 divisors (see below), whose sum is σ = 7852680000. Its totient is φ = 1253767680.

The previous prime is 3312064037. The next prime is 3312064051. The reversal of 3312064040 is 404602133.

It is a happy number.

It is a super-2 number, since 2×33120640402 = 21939536410122243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3312063997 and 3312064015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1002311 + ... + 1005609.

It is an arithmetic number, because the mean of its divisors is an integer number (122698125).

Almost surely, 23312064040 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 3312064040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926340000).

3312064040 is an abundant number, since it is smaller than the sum of its proper divisors (4540615960).

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

3312064040 is a wasteful number, since it uses less digits than its factorization.

3312064040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3312064040 is about 57550.5346630246. The cubic root of 3312064040 is about 1490.6175900227.

Adding to 3312064040 its reverse (404602133), we get a palindrome (3716666173).

The spelling of 3312064040 in words is "three billion, three hundred twelve million, sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1321 2642 3299 5284 6598 6605 10568 13196 13210 16495 25099 26392 26420 32990 50198 52840 62681 65980 100396 125362 125495 131960 200792 250724 250990 313405 501448 501980 626810 1003960 1253620 2507240 4357979 8715958 17431916 21789895 34863832 43579790 82801601 87159580 165603202 174319160 331206404 414008005 662412808 828016010 1656032020 3312064040