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343241505405 = 32566111539469
BaseRepresentation
bin1001111111010101100…
…10011011101001111101
31012210222002110002201100
410333222302123221331
521110424311133110
6421403304403313
733540562441251
oct4775262335175
91183862402640
10343241505405
11122627977327
1256632a76539
13264a16227b6
1412882020261
158ddda41bc0
hex4feac9ba7d

343241505405 has 24 divisors (see below), whose sum is σ = 595852072920. Its totient is φ = 182785173120.

The previous prime is 343241505371. The next prime is 343241505421. The reversal of 343241505405 is 504505142343.

343241505405 is a `hidden beast` number, since 3 + 4 + 3 + 241 + 5 + 0 + 5 + 405 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 144177405849 + 199064099556 = 379707^2 + 446166^2 .

It is not a de Polignac number, because 343241505405 - 222 = 343237311101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 343241505405.

It is a congruent number.

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, 5739990 + ... + 5799479.

It is an arithmetic number, because the mean of its divisors is an integer number (24827169705).

Almost surely, 2343241505405 is an apocalyptic number.

It is an amenable number.

343241505405 is a deficient number, since it is larger than the sum of its proper divisors (252610567515).

343241505405 is a wasteful number, since it uses less digits than its factorization.

343241505405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11540141 (or 11540138 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 343241505405 its reverse (504505142343), we get a palindrome (847746647748).

The spelling of 343241505405 in words is "three hundred forty-three billion, two hundred forty-one million, five hundred five thousand, four hundred five".

Divisors: 1 3 5 9 15 45 661 1983 3305 5949 9915 29745 11539469 34618407 57697345 103855221 173092035 519276105 7627589009 22882767027 38137945045 68648301081 114413835135 343241505405