Search a number
-
+
34402433136 = 2435316382963
BaseRepresentation
bin100000000010100010…
…110111100001110000
310021210120020200022020
4200002202313201300
51030424010330021
623445415311440
72325344566611
oct400242674160
9107716220266
1034402433136
1113654305225
12680137b580
13332349a716
141944dd7c08
15d653937c6
hex8028b7870

34402433136 has 80 divisors (see below), whose sum is σ = 91106418816. Its totient is φ = 11181950208.

The previous prime is 34402433099. The next prime is 34402433159. The reversal of 34402433136 is 63133420443.

It is a junction number, because it is equal to n+sod(n) for n = 34402433097 and 34402433106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373191 + ... + 456153.

Almost surely, 234402433136 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 34402433136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45553209408).

34402433136 is an abundant number, since it is smaller than the sum of its proper divisors (56703985680).

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

34402433136 is a wasteful number, since it uses less digits than its factorization.

34402433136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83190 (or 83184 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 34402433136 its reverse (63133420443), we get a palindrome (97535853579).

The spelling of 34402433136 in words is "thirty-four billion, four hundred two million, four hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 163 212 318 326 424 489 636 652 848 978 1272 1304 1956 2544 2608 3912 7824 8639 17278 25917 34556 51834 69112 82963 103668 138224 165926 207336 248889 331852 414672 497778 663704 995556 1327408 1991112 3982224 4397039 8794078 13191117 13522969 17588156 26382234 27045938 35176312 40568907 52764468 54091876 70352624 81137814 105528936 108183752 162275628 211057872 216367504 324551256 649102512 716717357 1433434714 2150152071 2866869428 4300304142 5733738856 8600608284 11467477712 17201216568 34402433136