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3683031268 = 227538273001
BaseRepresentation
bin1101101110000110…
…1001100011100100
3100111200021101002111
43123201221203210
530020324000033
61405244050404
7160161151330
oct33341514344
910450241074
103683031268
11161aa7a9a4
12869533a04
13469062157
1426d2047c0
151685137cd
hexdb8698e4

3683031268 has 48 divisors (see below), whose sum is σ = 7516623744. Its totient is φ = 1546272000.

The previous prime is 3683031257. The next prime is 3683031299. The reversal of 3683031268 is 8621303863.

3683031268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3683031268.

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, 1225768 + ... + 1228768.

It is an arithmetic number, because the mean of its divisors is an integer number (156596328).

Almost surely, 23683031268 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 3683031268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758311872).

3683031268 is an abundant number, since it is smaller than the sum of its proper divisors (3833592476).

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

3683031268 is a wasteful number, since it uses less digits than its factorization.

3683031268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 3683031268 is about 60687.9828961220. The cubic root of 3683031268 is about 1544.3123171309.

The spelling of 3683031268 in words is "three billion, six hundred eighty-three million, thirty-one thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 53 106 212 371 742 827 1484 1654 3001 3308 5789 6002 11578 12004 21007 23156 42014 43831 84028 87662 159053 175324 306817 318106 613634 636212 1113371 1227268 2226742 2481827 4453484 4963654 9927308 17372789 34745578 69491156 131536831 263073662 526147324 920757817 1841515634 3683031268