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3282354416 = 241124736073
BaseRepresentation
bin1100001110100100…
…1100000011110000
322110202022212210002
43003221030003300
523210240320131
61301412125132
7144224360255
oct30351140360
98422285702
103282354416
111434892500
127773067a8
13404044763
14231d0542c
151432696cb
hexc3a4c0f0

3282354416 has 60 divisors (see below), whose sum is σ = 7139188896. Its totient is φ = 1460194560.

The previous prime is 3282354391. The next prime is 3282354419. The reversal of 3282354416 is 6144532823.

It is a self number, because there is not a number n which added to its sum of digits gives 3282354416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282354419) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 72956 + ... + 109028.

Almost surely, 23282354416 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 3282354416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569594448).

3282354416 is an abundant number, since it is smaller than the sum of its proper divisors (3856834480).

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

3282354416 is a wasteful number, since it uses less digits than its factorization.

3282354416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36150 (or 36133 counting only the distinct ones).

The product of its digits is 138240, while the sum is 38.

The square root of 3282354416 is about 57291.8355090845. The cubic root of 3282354416 is about 1486.1471885371.

The spelling of 3282354416 in words is "three billion, two hundred eighty-two million, three hundred fifty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 121 176 188 242 376 484 517 752 968 1034 1936 2068 4136 5687 8272 11374 22748 36073 45496 72146 90992 144292 288584 396803 577168 793606 1587212 1695431 3174424 3390862 4364833 6348848 6781724 8729666 13563448 17459332 18649741 27126896 34918664 37299482 69837328 74598964 149197928 205147151 298395856 410294302 820588604 1641177208 3282354416