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234005663430 = 2325711375631621
BaseRepresentation
bin1101100111101111010…
…0110000111011000110
3211101000020221101002100
43121323310300323012
512313220422212210
6255300053252530
722622610214620
oct3317364607306
9741006841070
10234005663430
1190272107480
1239428034146
13190b3539706
14b47c515c10
156148a915c0
hex367bd30ec6

234005663430 has 384 divisors, whose sum is σ = 780909382656. Its totient is φ = 47197209600.

The previous prime is 234005663407. The next prime is 234005663453. The reversal of 234005663430 is 34366500432.

234005663430 is a `hidden beast` number, since 2 + 34 + 0 + 0 + 566 + 34 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (234005663407) and next prime (234005663453).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 144358020 + ... + 144359640.

It is an arithmetic number, because the mean of its divisors is an integer number (2033618184).

Almost surely, 2234005663430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234005663430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390454691328).

234005663430 is an abundant number, since it is smaller than the sum of its proper divisors (546903719226).

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

234005663430 is a wasteful number, since it uses less digits than its factorization.

234005663430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 234005663430 in words is "two hundred thirty-four billion, five million, six hundred sixty-three thousand, four hundred thirty".