Search a number
-
+
3029384232 = 233373311319
BaseRepresentation
bin1011010010010000…
…1011110000101000
321211010022122221000
42310210023300220
522201010243412
61220334115000
7135033225000
oct26444136050
97733278830
103029384232
111315010236
1270664ba60
13393802164
1420a495000
1512ae4a4dc
hexb490bc28

3029384232 has 256 divisors, whose sum is σ = 10137600000. Its totient is φ = 836982720.

The previous prime is 3029384231. The next prime is 3029384233. The reversal of 3029384232 is 2324839203.

It is an interprime number because it is at equal distance from previous prime (3029384231) and next prime (3029384233).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3029384231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2296069 + ... + 2297387.

It is an arithmetic number, because the mean of its divisors is an integer number (39600000).

Almost surely, 23029384232 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 3029384232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068800000).

3029384232 is an abundant number, since it is smaller than the sum of its proper divisors (7108215768).

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

3029384232 is a wasteful number, since it uses less digits than its factorization.

3029384232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3029384232 is about 55039.8422236111. The cubic root of 3029384232 is about 1446.9431012963.

The spelling of 3029384232 in words is "three billion, twenty-nine million, three hundred eighty-four thousand, two hundred thirty-two".