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340012002312 = 2332371099071291
BaseRepresentation
bin1001111001010100100…
…10110110110000001000
31012111122000120100022200
410330222102312300020
521032321033033222
6420111021120200
733364546222323
oct4745222666010
91174560510280
10340012002312
1112121aa02904
1255a913b9060
13260a8524218
14126571557ba
158ca0266eac
hex4f2a4b6c08

340012002312 has 192 divisors, whose sum is σ = 956223153600. Its totient is φ = 109057466880.

The previous prime is 340012002299. The next prime is 340012002313. The reversal of 340012002312 is 213200210043.

340012002312 is a `hidden beast` number, since 340 + 0 + 12 + 0 + 0 + 2 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (340012002313) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 263370387 + ... + 263371677.

It is an arithmetic number, because the mean of its divisors is an integer number (4980328925).

Almost surely, 2340012002312 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 340012002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478111576800).

340012002312 is an abundant number, since it is smaller than the sum of its proper divisors (616211151288).

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

340012002312 is a wasteful number, since it uses less digits than its factorization.

340012002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 340012002312 its reverse (213200210043), we get a palindrome (553212212355).

The spelling of 340012002312 in words is "three hundred forty billion, twelve million, two thousand, three hundred twelve".