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234427343040 = 26325117399853
BaseRepresentation
bin1101101001010011110…
…1010110000011000000
3211102002122101220202200
43122110331112003000
512320101344434130
6255405555313200
722636220352342
oct3322475260300
9742078356680
10234427343040
119046913a620
12395252ab800
131914c9cba87
14b4bc521292
156170ad8760
hex3694f560c0

234427343040 has 168 divisors, whose sum is σ = 879635444688. Its totient is φ = 56830863360.

The previous prime is 234427343039. The next prime is 234427343063. The reversal of 234427343040 is 40343724432.

234427343040 is a `hidden beast` number, since 2 + 344 + 2 + 7 + 3 + 4 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 234427342986 and 234427343004.

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 23 ways as a sum of consecutive naturals, for example, 3668247 + ... + 3731606.

It is an arithmetic number, because the mean of its divisors is an integer number (5235925266).

Almost surely, 2234427343040 is an apocalyptic number.

234427343040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234427343040 is an abundant number, since it is smaller than the sum of its proper divisors (645208101648).

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

234427343040 is a wasteful number, since it uses less digits than its factorization.

234427343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7399887 (or 7399874 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 36.

The spelling of 234427343040 in words is "two hundred thirty-four billion, four hundred twenty-seven million, three hundred forty-three thousand, forty".