Search a number
-
+
3324342120 = 2335117179449
BaseRepresentation
bin1100011000100101…
…0110111101101000
322120200100002002020
43012021112331220
523302012421440
61305512104440
7145244304351
oct30611267550
98520302066
103324342120
111456560490
12789395120
1340c955c58
14237714d28
15146cb03d0
hexc6256f68

3324342120 has 256 divisors, whose sum is σ = 11197440000. Its totient is φ = 782745600.

The previous prime is 3324342113. The next prime is 3324342139. The reversal of 3324342120 is 212434233.

3324342120 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 2×33243421202 = 22102501061612188800, which contains 22 as substring.

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

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, 7403656 + ... + 7404104.

It is an arithmetic number, because the mean of its divisors is an integer number (43740000).

Almost surely, 23324342120 is an apocalyptic number.

3324342120 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 3324342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598720000).

3324342120 is an abundant number, since it is smaller than the sum of its proper divisors (7873097880).

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

3324342120 is a wasteful number, since it uses less digits than its factorization.

3324342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3324342120 is about 57657.1081480853. The cubic root of 3324342120 is about 1492.4572638847.

Adding to 3324342120 its reverse (212434233), we get a palindrome (3536776353).

The spelling of 3324342120 in words is "three billion, three hundred twenty-four million, three hundred forty-two thousand, one hundred twenty".