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235303072344 = 2332103223263541
BaseRepresentation
bin1101101100100100100…
…1111111001001011000
3211111100200020120112100
43123021021333021120
512323400041303334
6300032521243400
723000013054114
oct3331111771130
9744320216470
10235303072344
11908784a4a4a
123972a633560
131925c2781b2
14b562960744
1561c291dc99
hex36c927f258

235303072344 has 192 divisors, whose sum is σ = 650008719360. Its totient is φ = 76888154880.

The previous prime is 235303072307. The next prime is 235303072391. The reversal of 235303072344 is 443270303532.

235303072344 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 0 + 307 + 2 + 344 = 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 = 235303072299 and 235303072308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434940714 + ... + 434941254.

It is an arithmetic number, because the mean of its divisors is an integer number (3385462080).

Almost surely, 2235303072344 is an apocalyptic number.

235303072344 is a gapful number since it is divisible by the number (24) 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 235303072344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325004359680).

235303072344 is an abundant number, since it is smaller than the sum of its proper divisors (414705647016).

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

235303072344 is a wasteful number, since it uses less digits than its factorization.

235303072344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 36.

Adding to 235303072344 its reverse (443270303532), we get a palindrome (678573375876).

The spelling of 235303072344 in words is "two hundred thirty-five billion, three hundred three million, seventy-two thousand, three hundred forty-four".