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234430504140 = 223574399911283
BaseRepresentation
bin1101101001010100100…
…1011001110011001100
3211102002212100111222110
43122111021121303030
512320103202113030
6255410151144020
722636256256360
oct3322511316314
9742085314873
10234430504140
119046a9a95a8
1239526375010
1319150567851
14b4bcb052a0
1561710101b0
hex3695259ccc

234430504140 has 192 divisors, whose sum is σ = 753231790080. Its totient is φ = 53366480640.

The previous prime is 234430504129. The next prime is 234430504151. The reversal of 234430504140 is 41405034432.

234430504140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234430504129) and next prime (234430504151).

It is a super-2 number, since 2×2344305041402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 234430504098 and 234430504107.

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 63 ways as a sum of consecutive naturals, for example, 182719939 + ... + 182721221.

It is an arithmetic number, because the mean of its divisors is an integer number (3923082240).

Almost surely, 2234430504140 is an apocalyptic number.

234430504140 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 234430504140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376615895040).

234430504140 is an abundant number, since it is smaller than the sum of its proper divisors (518801285940).

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

234430504140 is a wasteful number, since it uses less digits than its factorization.

234430504140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 234430504140 its reverse (41405034432), we get a palindrome (275835538572).

The spelling of 234430504140 in words is "two hundred thirty-four billion, four hundred thirty million, five hundred four thousand, one hundred forty".