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344124655940 = 2251317712115197
BaseRepresentation
bin1010000000111110110…
…11011000100101000100
31012220020122020210111102
411000133123120211010
521114231402442230
6422031053355232
733601505212202
oct5003733304504
91186218223442
10344124655940
11122a404403aa
125683a798b18
13265b2599a90
1412927432072
158e41341045
hex501f6d8944

344124655940 has 192 divisors, whose sum is σ = 839758606848. Its totient is φ = 117321523200.

The previous prime is 344124655939. The next prime is 344124655951. The reversal of 344124655940 is 49556421443.

It is an unprimeable number.

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, 66213422 + ... + 66218618.

It is an arithmetic number, because the mean of its divisors is an integer number (4373742744).

Almost surely, 2344124655940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344124655940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419879303424).

344124655940 is an abundant number, since it is smaller than the sum of its proper divisors (495633950908).

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

344124655940 is a wasteful number, since it uses less digits than its factorization.

344124655940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5518 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 47.

The spelling of 344124655940 in words is "three hundred forty-four billion, one hundred twenty-four million, six hundred fifty-five thousand, nine hundred forty".