Search a number
-
+
3029329920 = 21135313181
BaseRepresentation
bin1011010010001111…
…1110100000000000
321211010012220102110
42310203332200000
522201002024140
61220333015320
7135032610441
oct26443764000
97733186373
103029329920
111314a83451
12706624540
133937b3516
1420a47d2c8
1512ae39380
hexb48fe800

3029329920 has 192 divisors, whose sum is σ = 10007262720. Its totient is φ = 781516800.

The previous prime is 3029329913. The next prime is 3029329997. The reversal of 3029329920 is 299239203.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 950730 + ... + 953910.

It is an arithmetic number, because the mean of its divisors is an integer number (52121160).

Almost surely, 23029329920 is an apocalyptic number.

3029329920 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 3029329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003631360).

3029329920 is an abundant number, since it is smaller than the sum of its proper divisors (6977932800).

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

3029329920 is a wasteful number, since it uses less digits than its factorization.

3029329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 3029329920 is about 55039.3488333574. The cubic root of 3029329920 is about 1446.9344541217.

The spelling of 3029329920 in words is "three billion, twenty-nine million, three hundred twenty-nine thousand, nine hundred twenty".