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3322334034344 = 2313317329348179
BaseRepresentation
bin110000010110001010100…
…010100011100110101000
3102202121112011121210122102
4300112022202203212220
5413413120003044334
611022131552312532
7462013351225253
oct60261242434650
912677464553572
103322334034344
111070aa2a495a6
12457a82b42748
131b13aa766940
14b6b322cc09a
155b64ca1467e
hex3058a8a39a8

3322334034344 has 128 divisors (see below), whose sum is σ = 7043931417600. Its totient is φ = 1458567751680.

The previous prime is 3322334034317. The next prime is 3322334034373. The reversal of 3322334034344 is 4434304332233.

It is a super-2 number, since 2×33223340343442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3322334034298 and 3322334034307.

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 31 ways as a sum of consecutive naturals, for example, 68934047 + ... + 68982225.

It is an arithmetic number, because the mean of its divisors is an integer number (55030714200).

Almost surely, 23322334034344 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 3322334034344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521965708800).

3322334034344 is an abundant number, since it is smaller than the sum of its proper divisors (3721597383256).

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

3322334034344 is a wasteful number, since it uses less digits than its factorization.

3322334034344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48595 (or 48591 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 38.

Adding to 3322334034344 its reverse (4434304332233), we get a palindrome (7756638366577).

The spelling of 3322334034344 in words is "three trillion, three hundred twenty-two billion, three hundred thirty-four million, thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 31 52 62 73 104 124 146 248 292 293 403 584 586 806 949 1172 1612 1898 2263 2344 3224 3796 3809 4526 7592 7618 9052 9083 15236 18104 18166 21389 29419 30472 36332 42778 48179 58838 72664 85556 96358 117676 118079 171112 192716 235352 236158 278057 385432 472316 556114 626327 663059 944632 1112228 1252654 1326118 1493549 2224456 2505308 2652236 2987098 3517067 5010616 5304472 5974196 7034134 8619767 11948392 14068268 14116447 17239534 19416137 28136536 28232894 34479068 38832274 45721871 56465788 68958136 77664548 91443742 109029077 112931576 155329096 182887484 183513811 218058154 365774968 367027622 436116308 437609857 734055244 872232616 875219714 1030500631 1417378001 1468110488 1750439428 2061001262 2834756002 3500878856 4122002524 5669512004 5688928141 8244005048 11339024008 11377856282 13396508203 22755712564 26793016406 31945519561 45511425128 53586032812 63891039122 107172065624 127782078244 255564156488 415291754293 830583508586 1661167017172 3322334034344