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234476674432 = 277111310118119
BaseRepresentation
bin1101101001011111100…
…1100001110110000000
3211102020002020012201021
43122113321201312000
512320202012040212
6255414520515224
722640356563550
oct3322771416600
9742202205637
10234476674432
1190493a73a70
123953991bb14
1319159cb1a50
14b4c4cc3160
1561750d0307
hex3697e61d80

234476674432 has 256 divisors, whose sum is σ = 633428812800. Its totient is φ = 83487744000.

The previous prime is 234476674409. The next prime is 234476674477.

234476674432 is nontrivially palindromic in base 10.

234476674432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 234476674432.

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 31 ways as a sum of consecutive naturals, for example, 12931869 + ... + 12949987.

It is an arithmetic number, because the mean of its divisors is an integer number (2474331300).

Almost surely, 2234476674432 is an apocalyptic number.

234476674432 is a gapful number since it is divisible by the number (22) 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 234476674432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316714406400).

234476674432 is an abundant number, since it is smaller than the sum of its proper divisors (398952138368).

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

234476674432 is a wasteful number, since it uses less digits than its factorization.

234476674432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18265 (or 18253 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 52.

The spelling of 234476674432 in words is "two hundred thirty-four billion, four hundred seventy-six million, six hundred seventy-four thousand, four hundred thirty-two".