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34112352216 = 23347257117671
BaseRepresentation
bin11111110001010000…
…010010111111011000
310021001100102001002110
4133301100102333120
51024330230232331
623400534032320
72315223131625
oct376120227730
9107040361073
1034112352216
1113515596128
1267401a86a0
1332a83636c7
14191868734c
15d49b93946
hex7f1412fd8

34112352216 has 64 divisors (see below), whose sum is σ = 87435002880. Its totient is φ = 11085455360.

The previous prime is 34112352179. The next prime is 34112352217. The reversal of 34112352216 is 61225321143.

It is a super-2 number, since 2×341123522162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34112352217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 231061 + ... + 348731.

It is an arithmetic number, because the mean of its divisors is an integer number (1366171920).

Almost surely, 234112352216 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 34112352216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43717501440).

34112352216 is an abundant number, since it is smaller than the sum of its proper divisors (53322650664).

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

34112352216 is a wasteful number, since it uses less digits than its factorization.

34112352216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117984 (or 117980 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

Adding to 34112352216 its reverse (61225321143), we get a palindrome (95337673359).

The spelling of 34112352216 in words is "thirty-four billion, one hundred twelve million, three hundred fifty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 257 282 376 514 564 771 1028 1128 1542 2056 3084 6168 12079 24158 36237 48316 72474 96632 117671 144948 235342 289896 353013 470684 706026 941368 1412052 2824104 5530537 11061074 16591611 22122148 30241447 33183222 44244296 60482894 66366444 90724341 120965788 132732888 181448682 241931576 362897364 725794728 1421348009 2842696018 4264044027 5685392036 8528088054 11370784072 17056176108 34112352216