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346282282643 = 11192960195063
BaseRepresentation
bin1010000101000000000…
…10000100111010010011
31020002211000012120220112
411002200002010322103
521133141231021033
6423025131031535
734006124560103
oct5024002047223
91202730176815
10346282282643
11123948359270
125714129b5ab
13268675b357b
1412a8dbdd203
15901a98cc48
hex50a0084e93

346282282643 has 32 divisors (see below), whose sum is σ = 412045401600. Its totient is φ = 287467488000.

The previous prime is 346282282631. The next prime is 346282282673.

346282282643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346282282643 - 26 = 346282282579 is a prime.

It is a super-2 number, since 2×3462822826432 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 346282282591 and 346282282600.

It is not an unprimeable number, because it can be changed into a prime (346282282613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3595130 + ... + 3690192.

It is an arithmetic number, because the mean of its divisors is an integer number (12876418800).

Almost surely, 2346282282643 is an apocalyptic number.

346282282643 is a deficient number, since it is larger than the sum of its proper divisors (65763118957).

346282282643 is a wasteful number, since it uses less digits than its factorization.

346282282643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95723.

The product of its digits is 5308416, while the sum is 50.

The spelling of 346282282643 in words is "three hundred forty-six billion, two hundred eighty-two million, two hundred eighty-two thousand, six hundred forty-three".

Divisors: 1 11 19 29 209 319 551 601 6061 6611 11419 17429 95063 125609 191719 331151 1045693 1806197 2756827 3642661 19868167 30325097 52379713 57132863 576176843 628461493 1085524397 1656853027 11940768367 18225383297 31480207513 346282282643