Search a number
-
+
3047304960 = 283257233153
BaseRepresentation
bin1011010110100010…
…0010111100000000
321212101001010112200
42311220202330000
522220102224320
61222214153200
7135341444010
oct26550427400
97771033480
103047304960
111324140357
12710652800
1339743803b
1420c9dbc40
1512c7da290
hexb5a22f00

3047304960 has 864 divisors, whose sum is σ = 13223927808. Its totient is φ = 632586240.

The previous prime is 3047304889. The next prime is 3047304971. The reversal of 3047304960 is 694037403.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 57496294 + ... + 57496346.

It is an arithmetic number, because the mean of its divisors is an integer number (15305472).

Almost surely, 23047304960 is an apocalyptic number.

3047304960 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 3047304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6611963904).

3047304960 is an abundant number, since it is smaller than the sum of its proper divisors (10176622848).

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

3047304960 is a wasteful number, since it uses less digits than its factorization.

3047304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3047304960 is about 55202.3999478284. The cubic root of 3047304960 is about 1449.7906887722.

The spelling of 3047304960 in words is "three billion, forty-seven million, three hundred four thousand, nine hundred sixty".