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999348480 = 28325136673
BaseRepresentation
bin111011100100001…
…101100100000000
32120122110011101200
4323210031210000
54021313122410
6243055301200
733523215264
oct7344154400
92518404350
10999348480
11473119339
1223a81a800
1312c06c780
1496a1c0a4
155cb033c0
hex3b90d900

999348480 has 216 divisors, whose sum is σ = 3724172088. Its totient is φ = 245956608.

The previous prime is 999348479. The next prime is 999348517. The reversal of 999348480 is 84843999.

It can be written as a sum of positive squares in 4 ways, for example, as 28901376 + 970447104 = 5376^2 + 31152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146424 + ... + 153096.

Almost surely, 2999348480 is an apocalyptic number.

999348480 is a gapful number since it is divisible by the number (90) 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 999348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862086044).

999348480 is an abundant number, since it is smaller than the sum of its proper divisors (2724823608).

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

999348480 is a wasteful number, since it uses less digits than its factorization.

999348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6713 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 999348480 is about 31612.4734875334. The cubic root of 999348480 is about 999.7827794853.

The spelling of 999348480 in words is "nine hundred ninety-nine million, three hundred forty-eight thousand, four hundred eighty".