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30322494720 = 2833571773101
BaseRepresentation
bin11100001111010111…
…001000110100000000
32220021020010022222000
4130033113020310000
5444100024312340
621532512144000
72122263644460
oct341727106400
986236108860
1030322494720
11119502920a1
125a62b38000
132b2313a98b
1416791d5ba0
15bc70ccd30
hex70f5c8d00

30322494720 has 1152 divisors, whose sum is σ = 133298887680. Its totient is φ = 6370099200.

The previous prime is 30322494701. The next prime is 30322494733. The reversal of 30322494720 is 2749422303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 300222670 + ... + 300222770.

It is an arithmetic number, because the mean of its divisors is an integer number (115710840).

Almost surely, 230322494720 is an apocalyptic number.

30322494720 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 30322494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66649443840).

30322494720 is an abundant number, since it is smaller than the sum of its proper divisors (102976392960).

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

30322494720 is a wasteful number, since it uses less digits than its factorization.

30322494720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 30322494720 in words is "thirty billion, three hundred twenty-two million, four hundred ninety-four thousand, seven hundred twenty".