Search a number
-
+
3024130032 = 2433711229397
BaseRepresentation
bin1011010001000000…
…1000111111110000
321210202102201112000
42310100020333300
522143134130112
61220025334000
7134640452430
oct26420107760
97722381460
103024130032
111312051720
12704937300
133926b2771
142098c82c0
1512a75d7dc
hexb4408ff0

3024130032 has 320 divisors, whose sum is σ = 10896921600. Its totient is φ = 780088320.

The previous prime is 3024130013. The next prime is 3024130097. The reversal of 3024130032 is 2300314203.

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 = 3024129987 and 3024130014.

It is a congruent number.

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, 7617258 + ... + 7617654.

It is an arithmetic number, because the mean of its divisors is an integer number (34052880).

Almost surely, 23024130032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3024130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448460800).

3024130032 is an abundant number, since it is smaller than the sum of its proper divisors (7872791568).

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

3024130032 is a wasteful number, since it uses less digits than its factorization.

3024130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3024130032 is about 54992.0906312899. The cubic root of 3024130032 is about 1446.1060854315.

Adding to 3024130032 its reverse (2300314203), we get a palindrome (5324444235).

The spelling of 3024130032 in words is "three billion, twenty-four million, one hundred thirty thousand, thirty-two".