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34364460660060 = 223523106273234319
BaseRepresentation
bin1111101000001000110010…
…11110000111010101011100
311111200012200100102022011110
413310010121132013111130
514001011403412110220
6201030452034022020
710144515241034346
oct764043136072534
9144605610368143
1034364460660060
11aa499821879a3
123a30090417910
1316237299a4c8b
1486b36a8aa296
153e8d725b2be0
hex1f411978755c

34364460660060 has 96 divisors (see below), whose sum is σ = 100405362677760. Its totient is φ = 8765307758592.

The previous prime is 34364460660007. The next prime is 34364460660071. The reversal of 34364460660060 is 6006606446343.

It is a super-2 number, since 2×343644606600602 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34364460659991 and 34364460660009.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 146539581 + ... + 146773899.

It is an arithmetic number, because the mean of its divisors is an integer number (1045889194560).

Almost surely, 234364460660060 is an apocalyptic number.

34364460660060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34364460660060 is an abundant number, since it is smaller than the sum of its proper divisors (66040902017700).

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

34364460660060 is a wasteful number, since it uses less digits than its factorization.

34364460660060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340627 (or 340625 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 48.

The spelling of 34364460660060 in words is "thirty-four trillion, three hundred sixty-four billion, four hundred sixty million, six hundred sixty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 106273 212546 234319 318819 425092 468638 531365 637638 702957 937276 1062730 1171595 1275276 1405914 1594095 2125460 2343190 2444279 2811828 3188190 3514785 4686380 4888558 5389337 6376380 7029570 7332837 9777116 10778674 12221395 14059140 14665674 16168011 21557348 24442790 26946685 29331348 32336022 36664185 48885580 53893370 64672044 73328370 80840055 107786740 146656740 161680110 323360220 24901783087 49803566174 74705349261 99607132348 124508915435 149410698522 249017830870 298821397044 373526746305 498035661740 572741011001 747053492610 1145482022002 1494106985220 1718223033003 2290964044004 2863705055005 3436446066006 5727410110010 6872892132012 8591115165015 11454820220020 17182230330030 34364460660060