Search a number
-
+
3133333320 = 23351319611733
BaseRepresentation
bin1011101011000010…
…1101111101001000
322002100220211021020
42322300231331020
522404113131240
61234530112440
7140434615365
oct27260557510
98070824236
103133333320
111368759777
1273541b720
133ac1c92b0
1421a1d346c
151351300d0
hexbac2df48

3133333320 has 256 divisors, whose sum is σ = 10836806400. Its totient is φ = 718295040.

The previous prime is 3133333319. The next prime is 3133333327. The reversal of 3133333320 is 233333313.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3133333327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1807174 + ... + 1808906.

It is an arithmetic number, because the mean of its divisors is an integer number (42331275).

Almost surely, 23133333320 is an apocalyptic number.

3133333320 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 3133333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418403200).

3133333320 is an abundant number, since it is smaller than the sum of its proper divisors (7703473080).

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

3133333320 is a wasteful number, since it uses less digits than its factorization.

3133333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 24.

The square root of 3133333320 is about 55976.1852933906. The cubic root of 3133333320 is about 1463.3072770108.

Adding to 3133333320 its reverse (233333313), we get a palindrome (3366666633).

The spelling of 3133333320 in words is "three billion, one hundred thirty-three million, three hundred thirty-three thousand, three hundred twenty".