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3340500240564 = 2233733671154513
BaseRepresentation
bin110000100111000101010…
…101001000100010110100
3102211100102012112200202000
4300213011111020202310
5414212321030144224
611034334333215300
7463225465355514
oct60470525104264
912740365480660
103340500240564
111078775332173
1245b4b2931530
131b301424b7a6
14b7976c21844
155bd6279e0c9
hex309c55488b4

3340500240564 has 96 divisors (see below), whose sum is σ = 8803123069440. Its totient is φ = 1095253208064.

The previous prime is 3340500240559. The next prime is 3340500240577. The reversal of 3340500240564 is 4650420050433.

3340500240564 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 50 + 0 + 2 + 40 + 564 = 666.

It is a super-2 number, since 2×33405002405642 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2316172 + ... + 3470684.

It is an arithmetic number, because the mean of its divisors is an integer number (91699198640).

Almost surely, 23340500240564 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 3340500240564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401561534720).

3340500240564 is an abundant number, since it is smaller than the sum of its proper divisors (5462622828876).

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

3340500240564 is a wasteful number, since it uses less digits than its factorization.

3340500240564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154966 (or 1154958 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 3340500240564 its reverse (4650420050433), we get a palindrome (7990920290997).

The spelling of 3340500240564 in words is "three trillion, three hundred forty billion, five hundred million, two hundred forty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 367 438 657 734 876 1101 1314 1468 1971 2202 2628 3303 3942 4404 6606 7884 9909 13212 19818 26791 39636 53582 80373 107164 160746 241119 321492 482238 723357 964476 1154513 1446714 2309026 2893428 3463539 4618052 6927078 10390617 13854156 20781234 31171851 41562468 62343702 84279449 124687404 168558898 252838347 337117796 423706271 505676694 758515041 847412542 1011353388 1271118813 1517030082 1694825084 2275545123 2542237626 3034060164 3813356439 4551090246 5084475252 7626712878 9102180492 11440069317 15253425756 22880138634 30930557783 45760277268 61861115566 92791673349 123722231132 185583346698 278375020047 371166693396 556750040094 835125060141 1113500080188 1670250120282 3340500240564