Search a number
-
+
32303020032 = 211324353769
BaseRepresentation
bin11110000101011010…
…001111100000000000
310002101020211102221100
4132011122033200000
51012124033120112
622501221454400
72222333065653
oct360532174000
9102336742840
1032303020032
1112777238078
126316271400
13307a556a4a
1417c626189a
15c90de52dc
hex78568f800

32303020032 has 288 divisors, whose sum is σ = 97394497200. Its totient is φ = 10305404928.

The previous prime is 32303020003. The next prime is 32303020093. The reversal of 32303020032 is 23002030323.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32303019987 and 32303020014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42006144 + ... + 42006912.

Almost surely, 232303020032 is an apocalyptic number.

32303020032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32303020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48697248600).

32303020032 is an abundant number, since it is smaller than the sum of its proper divisors (65091477168).

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

32303020032 is a wasteful number, since it uses less digits than its factorization.

32303020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 32303020032 its reverse (23002030323), we get a palindrome (55305050355).

The spelling of 32303020032 in words is "thirty-two billion, three hundred three million, twenty thousand, thirty-two".