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234411687328 = 257131729269607
BaseRepresentation
bin1101101001010000000…
…1100111110110100000
3211102001112221112011111
43122110001213312200
512320033342443303
6255404235553104
722635640316020
oct3322401476640
9742045845144
10234411687328
1190460317215
123951bbbb794
13191496a9b40
14b4ba407a80
15616e544b6d
hex3694067da0

234411687328 has 384 divisors, whose sum is σ = 625488998400. Its totient is φ = 83818119168.

The previous prime is 234411687317. The next prime is 234411687337. The reversal of 234411687328 is 823786114432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386180401 + ... + 386181007.

It is an arithmetic number, because the mean of its divisors is an integer number (1628877600).

Almost surely, 2234411687328 is an apocalyptic number.

234411687328 is a gapful number since it is divisible by the number (28) 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 234411687328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312744499200).

234411687328 is an abundant number, since it is smaller than the sum of its proper divisors (391077311072).

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

234411687328 is a wasteful number, since it uses less digits than its factorization.

234411687328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 944 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 49.

The spelling of 234411687328 in words is "two hundred thirty-four billion, four hundred eleven million, six hundred eighty-seven thousand, three hundred twenty-eight".