Search a number
-
+
3300331320 = 23325111364109
BaseRepresentation
bin1100010010110111…
…0000111100111000
322112000011012110100
43010231300330320
523224341100240
61303253315400
7144533232126
oct30455607470
98460135410
103300331320
111443a50850
12781335b60
1340799a090
14234464916
15144b1ae30
hexc4b70f38

3300331320 has 192 divisors, whose sum is σ = 12601461600. Its totient is φ = 738524160.

The previous prime is 3300331303. The next prime is 3300331327. The reversal of 3300331320 is 231330033.

3300331320 is a `hidden beast` number, since 3 + 300 + 331 + 32 + 0 = 666.

3300331320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3300331293 and 3300331302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300331327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19426 + ... + 83534.

Almost surely, 23300331320 is an apocalyptic number.

3300331320 is a gapful number since it is divisible by the number (30) 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 3300331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6300730800).

3300331320 is an abundant number, since it is smaller than the sum of its proper divisors (9301130280).

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

3300331320 is a wasteful number, since it uses less digits than its factorization.

3300331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64150 (or 64143 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 3300331320 is about 57448.5101634498. The cubic root of 3300331320 is about 1488.8553766456.

Adding to 3300331320 its reverse (231330033), we get a palindrome (3531661353).

The spelling of 3300331320 in words is "three billion, three hundred million, three hundred thirty-one thousand, three hundred twenty".