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34816234056 = 23317971396329
BaseRepresentation
bin100000011011001101…
…011001001001001000
310022212101212221110020
4200123031121021020
51032300423442211
623554440420440
72341531051362
oct403315311110
9108771787406
1034816234056
1113846946a5a
1268b7a77720
13338b131936
141983d51d32
15d8b881306
hex81b359248

34816234056 has 128 divisors (see below), whose sum is σ = 93795408000. Its totient is φ = 10730668032.

The previous prime is 34816234051. The next prime is 34816234069. The reversal of 34816234056 is 65043261843.

It is a super-2 number, since 2×348162340562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34816233999 and 34816234017.

It is not an unprimeable number, because it can be changed into a prime (34816234051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5497900 + ... + 5504228.

It is an arithmetic number, because the mean of its divisors is an integer number (732776625).

Almost surely, 234816234056 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 34816234056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46897704000).

34816234056 is an abundant number, since it is smaller than the sum of its proper divisors (58979173944).

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

34816234056 is a wasteful number, since it uses less digits than its factorization.

34816234056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6591 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 34816234056 its reverse (65043261843), we get a palindrome (99859495899).

The spelling of 34816234056 in words is "thirty-four billion, eight hundred sixteen million, two hundred thirty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 97 102 136 139 194 204 278 291 388 408 417 556 582 776 834 1112 1164 1649 1668 2328 2363 3298 3336 4726 4947 6329 6596 7089 9452 9894 12658 13192 13483 14178 18904 18987 19788 25316 26966 28356 37974 39576 40449 50632 53932 56712 75948 80898 107593 107864 151896 161796 215186 229211 322779 323592 430372 458422 613913 645558 687633 860744 879731 916844 1227826 1291116 1375266 1759462 1833688 1841739 2455652 2582232 2639193 2750532 3518924 3683478 4911304 5278386 5501064 7037848 7366956 10436521 10556772 14733912 14955427 20873042 21113544 29910854 31309563 41746084 44866281 59821708 62619126 83492168 85333907 89732562 119643416 125238252 170667814 179465124 250476504 256001721 341335628 358930248 512003442 682671256 1024006884 1450676419 2048013768 2901352838 4352029257 5802705676 8704058514 11605411352 17408117028 34816234056