Search a number
-
+
3032305920 = 283257311213
BaseRepresentation
bin1011010010111101…
…0101000100000000
321211022211002201200
42310233111010000
522202232242140
61220520501200
7135100114020
oct26457250400
97738732650
103032305920
111316726356
1270761a800
133942b5c77
1420aa15a80
1512b326030
hexb4bd5100

3032305920 has 432 divisors, whose sum is σ = 12387228672. Its totient is φ = 670187520.

The previous prime is 3032305897. The next prime is 3032305937. The reversal of 3032305920 is 295032303.

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 47 ways as a sum of consecutive naturals, for example, 2499234 + ... + 2500446.

Almost surely, 23032305920 is an apocalyptic number.

3032305920 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 3032305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193614336).

3032305920 is an abundant number, since it is smaller than the sum of its proper divisors (9354922752).

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

3032305920 is a wasteful number, since it uses less digits than its factorization.

3032305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 3032305920 is about 55066.3774003702. The cubic root of 3032305920 is about 1447.4081196658.

The spelling of 3032305920 in words is "three billion, thirty-two million, three hundred five thousand, nine hundred twenty".