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344300322042 = 23229222744109
BaseRepresentation
bin1010000001010011110…
…01011111110011111010
31012220200212210120002100
411000221321133303322
521120111340301132
6422100330444230
733606040310235
oct5005171376372
91186625716070
10344300322042
111230206129a6
1256889593676
132660cab4111
14129428bc41c
158e5199037c
hex5029e5fcfa

344300322042 has 36 divisors (see below), whose sum is σ = 772594672590. Its totient is φ = 110809294176.

The previous prime is 344300322029. The next prime is 344300322053. The reversal of 344300322042 is 240223003443.

344300322042 is a `hidden beast` number, since 3 + 4 + 430 + 0 + 3 + 220 + 4 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 218190817881 + 126109504161 = 467109^2 + 355119^2 .

It is a super-2 number, since 2×3443003220422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344300321997 and 344300322015.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11356917 + ... + 11387192.

Almost surely, 2344300322042 is an apocalyptic number.

344300322042 is an abundant number, since it is smaller than the sum of its proper divisors (428294350548).

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

344300322042 is a wasteful number, since it uses less digits than its factorization.

344300322042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22744175 (or 22744143 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 344300322042 its reverse (240223003443), we get a palindrome (584523325485).

The spelling of 344300322042 in words is "three hundred forty-four billion, three hundred million, three hundred twenty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 841 1682 2523 5046 7569 15138 22744109 45488218 68232327 136464654 204696981 409393962 659579161 1319158322 1978737483 3957474966 5936212449 11872424898 19127795669 38255591338 57383387007 114766774014 172150161021 344300322042