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930423312 = 24327131937101
BaseRepresentation
bin110111011101010…
…010001000010000
32101211202101211200
4313131102020100
53401142021222
6232154111200
732025316260
oct6735221020
92354671750
10930423312
11438221895
1221b71b500
1311a9b9250
148b7d97a0
1556a3aeac
hex37752210

930423312 has 480 divisors, whose sum is σ = 3498942720. Its totient is φ = 223948800.

The previous prime is 930423283. The next prime is 930423323. The reversal of 930423312 is 213324039.

It is a happy 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, 9212062 + ... + 9212162.

It is an arithmetic number, because the mean of its divisors is an integer number (7289464).

Almost surely, 2930423312 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 930423312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749471360).

930423312 is an abundant number, since it is smaller than the sum of its proper divisors (2568519408).

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

930423312 is a wasteful number, since it uses less digits than its factorization.

930423312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 930423312 is about 30502.8410480073. The cubic root of 930423312 is about 976.2480837153.

The spelling of 930423312 in words is "nine hundred thirty million, four hundred twenty-three thousand, three hundred twelve".