Search a number
-
+
3023641152 = 2632719291361
BaseRepresentation
bin1011010000111001…
…0001101001000000
321210201111212220100
42310032101221000
522143023004102
61220011042400
7134633345220
oct26416215100
97721455810
103023641152
111311848394
12704740400
1339257109c
142097dc080
1512a6b3a1c
hexb4391a40

3023641152 has 336 divisors, whose sum is σ = 10793577600. Its totient is φ = 789626880.

The previous prime is 3023641151. The next prime is 3023641163. The reversal of 3023641152 is 2511463203.

3023641152 is a `hidden beast` number, since 3 + 0 + 2 + 3 + 641 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (3023641151) 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, 2220952 + ... + 2222312.

Almost surely, 23023641152 is an apocalyptic number.

3023641152 is a gapful number since it is divisible by the number (32) 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 3023641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396788800).

3023641152 is an abundant number, since it is smaller than the sum of its proper divisors (7769936448).

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

3023641152 is a wasteful number, since it uses less digits than its factorization.

3023641152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3023641152 is about 54987.6454487733. The cubic root of 3023641152 is about 1446.0281555326.

The spelling of 3023641152 in words is "three billion, twenty-three million, six hundred forty-one thousand, one hundred fifty-two".