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234233442404334 = 23331247883108761
BaseRepresentation
bin110101010000100010111001…
…001000010000011111101110
31010201100111110100002100212000
4311100202321020100133232
5221200140042223414314
62150101205151353130
7100223544026511222
oct6520427110203756
91121314410070760
10234233442404334
11686a793286955a
1222330015b227a6
13a09117112c949
1441bad5dac4782
151c12e39203209
hexd508b92107ee

234233442404334 has 192 divisors, whose sum is σ = 549922111165440. Its totient is φ = 73867103452800.

The previous prime is 234233442404293. The next prime is 234233442404407. The reversal of 234233442404334 is 433404244332432.

234233442404334 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 33 + 44 + 240 + 4 + 334 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 234233442404334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2153598514 + ... + 2153707274.

It is an arithmetic number, because the mean of its divisors is an integer number (2864177662320).

Almost surely, 2234233442404334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234233442404334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274961055582720).

234233442404334 is an abundant number, since it is smaller than the sum of its proper divisors (315688668761106).

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

234233442404334 is a wasteful number, since it uses less digits than its factorization.

234233442404334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109764 (or 109727 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 45.

Adding to 234233442404334 its reverse (433404244332432), we get a palindrome (667637686736766).

The spelling of 234233442404334 in words is "two hundred thirty-four trillion, two hundred thirty-three billion, four hundred forty-two million, four hundred four thousand, three hundred thirty-four".