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3453331130532 = 22321921012630917
BaseRepresentation
bin110010010000001010100…
…100110100100010100100
3110020010122120202210002200
4302100022210310202210
5423034410232134112
611202234410534500
7504331523200503
oct62201244644244
913203576683080
103453331130532
111111605438868
12479341737430
131c085609c9ca
14bd1dbd8a83a
155ec68183cdc
hex3240a9348a4

3453331130532 has 108 divisors (see below), whose sum is σ = 9304088913756. Its totient is φ = 1079727926400.

The previous prime is 3453331130531. The next prime is 3453331130609. The reversal of 3453331130532 is 2350311333543.

3453331130532 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 3 + 3 + 113 + 0 + 532 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3318248419236 + 135082711296 = 1821606^2 + 367536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3453331130531) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2863 + ... + 2628054.

Almost surely, 23453331130532 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 3453331130532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652044456878).

3453331130532 is an abundant number, since it is smaller than the sum of its proper divisors (5850757783224).

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

3453331130532 is a wasteful number, since it uses less digits than its factorization.

3453331130532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631066 (or 2631042 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 36.

The spelling of 3453331130532 in words is "three trillion, four hundred fifty-three billion, three hundred thirty-one million, one hundred thirty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 101 114 171 202 228 303 342 361 404 606 684 722 909 1083 1212 1444 1818 1919 2166 3249 3636 3838 4332 5757 6498 7676 11514 12996 17271 23028 34542 36461 69084 72922 109383 145844 218766 328149 437532 656298 1312596 2630917 5261834 7892751 10523668 15785502 23678253 31571004 47356506 49987423 94713012 99974846 149962269 199949692 265722617 299924538 449886807 531445234 599849076 797167851 899773614 949761037 1062890468 1594335702 1799547228 1899522074 2391503553 2849283111 3188671404 3799044148 4783007106 5048729723 5698566222 8547849333 9566014212 10097459446 11397132444 15146189169 17095698666 20194918892 30292378338 34191397332 45438567507 60584756676 90877135014 95925864737 181754270028 191851729474 287777594211 383703458948 575555188422 863332782633 1151110376844 1726665565266 3453331130532