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34360320132 = 22325635712969
BaseRepresentation
bin100000000000000010…
…001110000010000100
310021200122000010010100
4200000002032002010
51030332220221012
623441312524100
72324323621305
oct400002160204
9107618003110
1034360320132
1113632561096
1267ab250630
133317844198
14193d5947ac
15d618258dc
hex80008e084

34360320132 has 72 divisors (see below), whose sum is σ = 87191264160. Its totient is φ = 11409229440.

The previous prime is 34360320121. The next prime is 34360320161. The reversal of 34360320132 is 23102306343.

It is a happy number.

34360320132 is a `hidden beast` number, since 3 + 4 + 3 + 603 + 20 + 1 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34360320096 and 34360320105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11571544 + ... + 11574512.

It is an arithmetic number, because the mean of its divisors is an integer number (1210989780).

Almost surely, 234360320132 is an apocalyptic number.

It is an amenable number.

34360320132 is an abundant number, since it is smaller than the sum of its proper divisors (52830944028).

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

34360320132 is a wasteful number, since it uses less digits than its factorization.

34360320132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 34360320132 its reverse (23102306343), we get a palindrome (57462626475).

The spelling of 34360320132 in words is "thirty-four billion, three hundred sixty million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 563 571 1126 1142 1689 1713 2252 2284 2969 3378 3426 5067 5139 5938 6756 6852 8907 10134 10278 11876 17814 20268 20556 26721 35628 53442 106884 321473 642946 964419 1285892 1671547 1695299 1928838 2893257 3343094 3390598 3857676 5014641 5085897 5786514 6686188 6781196 10029282 10171794 11573028 15043923 15257691 20058564 20343588 30087846 30515382 60175692 61030764 954453337 1908906674 2863360011 3817813348 5726720022 8590080033 11453440044 17180160066 34360320132