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234000304020 = 2232571094793557
BaseRepresentation
bin1101100111101110000…
…0010100011110010100
3211100222212212002100200
43121323200110132110
512313213034212040
6255255342340500
722622513523540
oct3317340243624
9740885762320
10234000304020
119026a08690a
123942628a730
13190b23b1172
14b47b91ca20
156148383630
hex367b814794

234000304020 has 288 divisors, whose sum is σ = 820582963200. Its totient is φ = 52869583872.

The previous prime is 234000304007. The next prime is 234000304051. The reversal of 234000304020 is 20403000432.

234000304020 is a `hidden beast` number, since 2 + 340 + 0 + 0 + 304 + 0 + 20 = 666.

234000304020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2340003040202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 234000303984 and 234000304002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65784082 + ... + 65787638.

It is an arithmetic number, because the mean of its divisors is an integer number (2849246400).

Almost surely, 2234000304020 is an apocalyptic number.

234000304020 is a gapful number since it is divisible by the number (20) 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 234000304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410291481600).

234000304020 is an abundant number, since it is smaller than the sum of its proper divisors (586582659180).

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

234000304020 is a wasteful number, since it uses less digits than its factorization.

234000304020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 234000304020 its reverse (20403000432), we get a palindrome (254403304452).

The spelling of 234000304020 in words is "two hundred thirty-four billion, three hundred four thousand, twenty".