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240545100345 = 351117239358811
BaseRepresentation
bin1110000000000110011…
…0101111001000111001
3211222220000001012002120
43200001212233020321
512420114021202340
6302301020151453
723243634421434
oct3400146571071
9758800035076
10240545100345
11930184901a0
123a752098589
13198b62b7a04
14b8dcc2481b
1563ccc324d0
hex38019af239

240545100345 has 64 divisors (see below), whose sum is σ = 446419537920. Its totient is φ = 109307878400.

The previous prime is 240545100319. The next prime is 240545100349. The reversal of 240545100345 is 543001545042.

It is not a de Polignac number, because 240545100345 - 26 = 240545100281 is a prime.

It is a super-2 number, since 2×2405451003452 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (240545100349) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 490990 + ... + 849800.

It is an arithmetic number, because the mean of its divisors is an integer number (6975305280).

Almost surely, 2240545100345 is an apocalyptic number.

It is an amenable number.

240545100345 is a deficient number, since it is larger than the sum of its proper divisors (205874437575).

240545100345 is a wasteful number, since it uses less digits than its factorization.

240545100345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359086.

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 240545100345 its reverse (543001545042), we get a palindrome (783546645387).

The spelling of 240545100345 in words is "two hundred forty billion, five hundred forty-five million, one hundred thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 165 187 239 255 561 717 935 1195 2629 2805 3585 4063 7887 12189 13145 20315 39435 44693 60945 134079 223465 358811 670395 1076433 1794055 3946921 5382165 6099787 11840763 18299361 19734605 30498935 59203815 67097657 85755829 91496805 201292971 257267487 335488285 428779145 943314119 1006464855 1286337435 1457849093 2829942357 4373547279 4716570595 7289245465 14149711785 16036340023 21867736395 48109020069 80181700115 240545100345