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3435662222344 = 2311231671708829
BaseRepresentation
bin110001111111101101011…
…011010010010000001000
3110011110001012121020122201
4301333231123102100020
5422242214012103334
611150153232525544
7503134625021602
oct61775533222010
913143035536581
103435662222344
111105068836600
12475a303b08b4
131bbc9b635151
14bc403508172
155e581dcbc14
hex31fed6d2408

3435662222344 has 96 divisors (see below), whose sum is σ = 7418236089600. Its totient is φ = 1488730953600.

The previous prime is 3435662222327. The next prime is 3435662222359. The reversal of 3435662222344 is 4432222665343.

It is a happy number.

3435662222344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×34356622223443 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3435662222294 and 3435662222303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1156122 + ... + 2864950.

It is an arithmetic number, because the mean of its divisors is an integer number (77273292600).

Almost surely, 23435662222344 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 3435662222344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709118044800).

3435662222344 is an abundant number, since it is smaller than the sum of its proper divisors (3982573867256).

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

3435662222344 is a wasteful number, since it uses less digits than its factorization.

3435662222344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708955 (or 1708940 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 46.

Adding to 3435662222344 its reverse (4432222665343), we get a palindrome (7867884887687).

The spelling of 3435662222344 in words is "three trillion, four hundred thirty-five billion, six hundred sixty-two million, two hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 31 44 62 67 88 121 124 134 242 248 268 341 484 536 682 737 968 1364 1474 2077 2728 2948 3751 4154 5896 7502 8107 8308 15004 16214 16616 22847 30008 32428 45694 64856 91388 182776 251317 502634 1005268 1708829 2010536 3417658 6835316 13670632 18797119 37594238 52973699 75188476 105947398 114491543 150376952 206768309 211894796 228983086 413536618 423789592 457966172 582710689 827073236 915932344 1165421378 1259406973 1654146472 2330842756 2518813946 3549237833 4661685512 5037627892 6409817579 7098475666 10075255784 12819635158 13853476703 14196951332 25639270316 27706953406 28393902664 39041616163 51278540632 55413906812 78083232326 110827813624 156166464652 312332929304 429457777793 858915555586 1717831111172 3435662222344