Search a number
-
+
32006000328 = 2332934551479
BaseRepresentation
bin11101110011101101…
…001100111011001000
310001121112221021111120
4131303231030323020
51011022014002303
622411531355240
72212065341211
oct356355147310
9101545837446
1032006000328
1112634609845
1262528b2b20
133030b60643
141798a26408
15c74cc4553
hex773b4cec8

32006000328 has 32 divisors (see below), whose sum is σ = 80288107200. Its totient is φ = 10632252608.

The previous prime is 32006000261. The next prime is 32006000329. The reversal of 32006000328 is 82300060023.

It is a super-2 number, since 2×320060003282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 32006000298 and 32006000307.

It is not an unprimeable number, because it can be changed into a prime (32006000329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2268708 + ... + 2282771.

It is an arithmetic number, because the mean of its divisors is an integer number (2509003350).

Almost surely, 232006000328 is an apocalyptic number.

It is an amenable number.

32006000328 is an abundant number, since it is smaller than the sum of its proper divisors (48282106872).

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

32006000328 is a wasteful number, since it uses less digits than its factorization.

32006000328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4551781 (or 4551777 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 32006000328 in words is "thirty-two billion, six million, three hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 293 586 879 1172 1758 2344 3516 7032 4551479 9102958 13654437 18205916 27308874 36411832 54617748 109235496 1333583347 2667166694 4000750041 5334333388 8001500082 10668666776 16003000164 32006000328