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34425326232 = 23321185350957
BaseRepresentation
bin100000000011111010…
…001100101010011000
310021212011022202201200
4200003322030222120
51031000340414412
623451554114200
72326043305413
oct400372145230
9107764282650
1034425326232
1113666221140
126808b7b960
13332815492b
141948076b7a
15d673b69dc
hex803e8ca98

34425326232 has 96 divisors (see below), whose sum is σ = 101832428880. Its totient is φ = 10419482880.

The previous prime is 34425326219. The next prime is 34425326237. The reversal of 34425326232 is 23262352443.

34425326232 is a `hidden beast` number, since 3 + 4 + 4 + 25 + 3 + 2 + 623 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34425326237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650098 + ... + 701054.

Almost surely, 234425326232 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 34425326232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50916214440).

34425326232 is an abundant number, since it is smaller than the sum of its proper divisors (67407102648).

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

34425326232 is a wasteful number, since it uses less digits than its factorization.

34425326232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51833 (or 51826 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

Adding to 34425326232 its reverse (23262352443), we get a palindrome (57687678675).

The spelling of 34425326232 in words is "thirty-four billion, four hundred twenty-five million, three hundred twenty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 853 1706 2559 3412 5118 6824 7677 9383 10236 15354 18766 20472 28149 30708 37532 50957 56298 61416 75064 84447 101914 112596 152871 168894 203828 225192 305742 337788 407656 458613 560527 611484 675576 917226 1121054 1222968 1681581 1834452 2242108 3363162 3668904 4484216 5044743 6726324 10089486 13452648 20178972 40357944 43466321 86932642 130398963 173865284 260797926 347730568 391196889 478129531 521595852 782393778 956259062 1043191704 1434388593 1564787556 1912518124 2868777186 3129575112 3825036248 4303165779 5737554372 8606331558 11475108744 17212663116 34425326232