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34303620352050 = 23252753205472419
BaseRepresentation
bin1111100110010111011110…
…00110110000100000110010
311111110101122021122102112100
413303023233012300200302
513444012303302231200
6200542510551041230
710140232455663150
oct763135706604062
9144411567572470
1034303620352050
11aa260a1439005
123a20331070216
13161aa8212111a
148684385983d0
153e74b11c4d00
hex1f32ef1b0832

34303620352050 has 144 divisors (see below), whose sum is σ = 107315779296960. Its totient is φ = 7692887329920.

The previous prime is 34303620352021. The next prime is 34303620352063. The reversal of 34303620352050 is 5025302630343.

34303620352050 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 3 + 620 + 3 + 5 + 20 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34303620351996 and 34303620352014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102569260 + ... + 102903159.

It is an arithmetic number, because the mean of its divisors is an integer number (745248467340).

Almost surely, 234303620352050 is an apocalyptic number.

34303620352050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34303620352050 is an abundant number, since it is smaller than the sum of its proper divisors (73012158944910).

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

34303620352050 is a wasteful number, since it uses less digits than its factorization.

34303620352050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205472497 (or 205472489 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 34303620352050 its reverse (5025302630343), we get a palindrome (39328922982393).

The spelling of 34303620352050 in words is "thirty-four trillion, three hundred three billion, six hundred twenty million, three hundred fifty-two thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 53 63 70 75 90 105 106 126 150 159 175 210 225 265 315 318 350 371 450 477 525 530 630 742 795 954 1050 1113 1325 1575 1590 1855 2226 2385 2650 3150 3339 3710 3975 4770 5565 6678 7950 9275 11130 11925 16695 18550 23850 27825 33390 55650 83475 166950 205472419 410944838 616417257 1027362095 1232834514 1438306933 1849251771 2054724190 2876613866 3082086285 3698503542 4314920799 5136810475 6164172570 7191534665 8629841598 9246258855 10273620950 10890038207 12944762397 14383069330 15410431425 18492517710 21574603995 21780076414 25889524794 30820862850 32670114621 35957673325 43149207990 46231294275 54450191035 64723811985 65340229242 71915346650 76230267449 92462588550 98010343863 107873019975 108900382070 129447623970 152460534898 163350573105 196020687726 215746039950 228690802347 272250955175 323619059925 326701146210 381151337245 457381604694 490051719315 544501910350 647238119850 686072407041 762302674490 816752865525 980103438630 1143454011735 1372144814082 1633505731050 1905756686225 2286908023470 2450258596575 3430362035205 3811513372450 4900517193150 5717270058675 6860724070410 11434540117350 17151810176025 34303620352050