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930345984 = 2103229592
BaseRepresentation
bin110111011100111…
…111010000000000
32101211121110202200
4313130333100000
53401132032414
6232152313200
732024544651
oct6734772000
92354543680
10930345984
11438179787
1221b6a2800
1311a98cca9
148b7b9528
1556a23109
hex3773f400

930345984 has 198 divisors, whose sum is σ = 2826886530. Its totient is φ = 294346752.

The previous prime is 930345967. The next prime is 930346007. The reversal of 930345984 is 489543039.

It is a happy number.

930345984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 802022400 + 128323584 = 28320^2 + 11328^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15768547 + ... + 15768605.

Almost surely, 2930345984 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 930345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413443265).

930345984 is an abundant number, since it is smaller than the sum of its proper divisors (1896540546).

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

930345984 is a wasteful number, since it uses less digits than its factorization.

930345984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 930345984 is about 30501.5734676098. The cubic root of 930345984 is about 976.2210374585.

The spelling of 930345984 in words is "nine hundred thirty million, three hundred forty-five thousand, nine hundred eighty-four".