Search a number
-
+
3320131320 = 23325113072731
BaseRepresentation
bin1100010111100101…
…0010111011111000
322120101102010221200
43011321102323320
523244423200240
61305241534200
7145163436102
oct30571227370
98511363850
103320131320
111454144890
12787aa4360
1340bb1045c
14236d3a572
1514672c930
hexc5e52ef8

3320131320 has 192 divisors, whose sum is σ = 11814042240. Its totient is φ = 801964800.

The previous prime is 3320131313. The next prime is 3320131369. The reversal of 3320131320 is 231310233.

3320131320 is a `hidden beast` number, since 332 + 0 + 1 + 313 + 20 = 666.

It is a super-2 number, since 2×33201313202 = 22046543964089884800, which contains 22 as substring.

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 = 3320131293 and 3320131302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1214355 + ... + 1217085.

It is an arithmetic number, because the mean of its divisors is an integer number (61531470).

Almost surely, 23320131320 is an apocalyptic number.

3320131320 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 3320131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907021120).

3320131320 is an abundant number, since it is smaller than the sum of its proper divisors (8493910920).

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

3320131320 is a wasteful number, since it uses less digits than its factorization.

3320131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3320131320 is about 57620.5806982193. The cubic root of 3320131320 is about 1491.8268540073.

Adding to 3320131320 its reverse (231310233), we get a palindrome (3551441553).

It can be divided in two parts, 332013 and 1320, that added together give a palindrome (333333).

The spelling of 3320131320 in words is "three billion, three hundred twenty million, one hundred thirty-one thousand, three hundred twenty".