Search a number
-
+
3321303132 = 22371923173523
BaseRepresentation
bin1100010111110111…
…0001000001011100
322120110121200101010
43011331301001130
523300223200012
61305323015220
7145206416340
oct30575610134
98513550333
103321303132
111454875224
1278836a510
1340c130934
14237163620
151468aec3c
hexc5f7105c

3321303132 has 192 divisors, whose sum is σ = 9803243520. Its totient is φ = 853307136.

The previous prime is 3321303091. The next prime is 3321303143. The reversal of 3321303132 is 2313031233.

3321303132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33213031322 = 22062108989266018848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3321303099 and 3321303108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6350223 + ... + 6350745.

It is an arithmetic number, because the mean of its divisors is an integer number (51058560).

Almost surely, 23321303132 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 3321303132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901621760).

3321303132 is an abundant number, since it is smaller than the sum of its proper divisors (6481940388).

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

3321303132 is a wasteful number, since it uses less digits than its factorization.

3321303132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 3321303132 is about 57630.7481471480. The cubic root of 3321303132 is about 1492.0023425465.

Adding to 3321303132 its reverse (2313031233), we get a palindrome (5634334365).

The spelling of 3321303132 in words is "three billion, three hundred twenty-one million, three hundred three thousand, one hundred thirty-two".