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234435096 = 233274611009
BaseRepresentation
bin11011111100100…
…11001000011000
3121100010112111100
431332103020120
5440003410341
635132431400
75544444150
oct1576231030
9540115440
10234435096
11110372615
1266618560
1339752bbc
14231c7760
15158ac3b6
hexdf93218

234435096 has 96 divisors (see below), whose sum is σ = 727927200. Its totient is φ = 66769920.

The previous prime is 234435029. The next prime is 234435121. The reversal of 234435096 is 690534432.

234435096 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 234435096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231840 + ... + 232848.

It is an arithmetic number, because the mean of its divisors is an integer number (7582575).

Almost surely, 2234435096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234435096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363963600).

234435096 is an abundant number, since it is smaller than the sum of its proper divisors (493492104).

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

234435096 is a wasteful number, since it uses less digits than its factorization.

234435096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 234435096 is about 15311.2734937366. The cubic root of 234435096 is about 616.6057107836.

The spelling of 234435096 in words is "two hundred thirty-four million, four hundred thirty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 461 504 922 1009 1383 1844 2018 2766 3027 3227 3688 4036 4149 5532 6054 6454 7063 8072 8298 9081 9681 11064 12108 12908 14126 16596 18162 19362 21189 24216 25816 28252 29043 33192 36324 38724 42378 56504 58086 63567 72648 77448 84756 116172 127134 169512 232344 254268 465149 508536 930298 1395447 1860596 2790894 3256043 3721192 4186341 5581788 6512086 8372682 9768129 11163576 13024172 16745364 19536258 26048344 29304387 33490728 39072516 58608774 78145032 117217548 234435096