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343242242343 = 32711131012331619
BaseRepresentation
bin1001111111010101101…
…01001111100100100111
31012210222010211112121100
410333222311033210213
521110430003223333
6421403332251143
733540601630620
oct4775265174447
91183863745540
10343242242343
1112262832aa70
1256633170ab3
13264a1820060
1412882172a47
158dddb3a213
hex4fead4f927

343242242343 has 192 divisors, whose sum is σ = 675575147520. Its totient is φ = 162162432000.

The previous prime is 343242242327. The next prime is 343242242377.

343242242343 is a `hidden beast` number, since 3 + 4 + 32 + 42 + 242 + 343 = 666.

343242242343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343242242343 - 24 = 343242242327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343242242298 and 343242242307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343242242143) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 212007988 + ... + 212009606.

It is an arithmetic number, because the mean of its divisors is an integer number (3518620560).

Almost surely, 2343242242343 is an apocalyptic number.

343242242343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

343242242343 is a deficient number, since it is larger than the sum of its proper divisors (332332905177).

343242242343 is a wasteful number, since it uses less digits than its factorization.

343242242343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1987 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

It can be divided in two parts, 343242 and 242343, that added together give a palindrome (585585).

The spelling of 343242242343 in words is "three hundred forty-three billion, two hundred forty-two million, two hundred forty-two thousand, three hundred forty-three".