Search a number
-
+
365260226034 = 2311353862973
BaseRepresentation
bin1010101000010110011…
…01001011110111110010
31021220210121120000001210
411110023031023313302
521441023104213114
6435444230140550
735250326460114
oct5241315136762
91256717500053
10365260226034
111309a696a000
125a958ab1756
13285a02ca782
14139704753b4
15977bb1c259
hex550b34bdf2

365260226034 has 64 divisors (see below), whose sum is σ = 818679270528. Its totient is φ = 108596396480.

The previous prime is 365260226029. The next prime is 365260226063. The reversal of 365260226034 is 430622062563.

365260226034 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 365260225983 and 365260226001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8229 + ... + 854744.

It is an arithmetic number, because the mean of its divisors is an integer number (12791863602).

Almost surely, 2365260226034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365260226034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409339635264).

365260226034 is an abundant number, since it is smaller than the sum of its proper divisors (453419044494).

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

365260226034 is a wasteful number, since it uses less digits than its factorization.

365260226034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863064 (or 863042 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

Adding to 365260226034 its reverse (430622062563), we get a palindrome (795882288597).

The spelling of 365260226034 in words is "three hundred sixty-five billion, two hundred sixty million, two hundred twenty-six thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 53 66 106 121 159 242 318 363 583 726 1166 1331 1749 2662 3498 3993 6413 7986 12826 19239 38478 70543 141086 211629 423258 862973 1725946 2588919 5177838 9492703 18985406 28478109 45737569 56956218 91475138 104419733 137212707 208839466 274425414 313259199 503113259 626518398 1006226518 1148617063 1509339777 2297234126 3018679554 3445851189 5534245849 6891702378 11068491698 16602737547 33205475094 60876704339 121753408678 182630113017 365260226034