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34320220242 = 23721126340351
BaseRepresentation
bin11111111101101001…
…010000000001010010
310021120211112211102020
4133331221100001102
51030241434021432
623433321232310
72323326026100
oct377551200122
9107524484366
1034320220242
1113611962490
126799932696
13330c444039
141938116c70
15d5d05422c
hex7fda50052

34320220242 has 96 divisors (see below), whose sum is σ = 87439233024. Its totient is φ = 8880228000.

The previous prime is 34320220223. The next prime is 34320220283. The reversal of 34320220242 is 24202202343.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 830367 + ... + 870717.

It is an arithmetic number, because the mean of its divisors is an integer number (910825344).

Almost surely, 234320220242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34320220242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43719616512).

34320220242 is an abundant number, since it is smaller than the sum of its proper divisors (53119012782).

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

34320220242 is a wasteful number, since it uses less digits than its factorization.

34320220242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40644 (or 40637 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 34320220242 its reverse (24202202343), we get a palindrome (58522422585).

The spelling of 34320220242 in words is "thirty-four billion, three hundred twenty million, two hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 263 294 462 526 539 789 1078 1578 1617 1841 2893 3234 3682 5523 5786 8679 11046 12887 17358 20251 25774 38661 40351 40502 60753 77322 80702 121053 121506 141757 242106 282457 283514 425271 443861 564914 847371 850542 887722 1331583 1694742 1977199 2663166 3107027 3954398 5931597 6214054 9321081 10612313 11863194 18642162 21224626 21749189 31836939 43498378 63673878 65247567 74286191 116735443 130495134 148572382 222858573 233470886 350206329 445717146 520003337 700412658 817148101 1040006674 1560010011 1634296202 2451444303 3120020022 4902888606 5720036707 11440073414 17160110121 34320220242