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340034413212 = 2233132372332161
BaseRepresentation
bin1001111001010111010…
…00010110001010011100
31012111200120201221022000
410330223220112022130
521032342302210322
6420113141322300
733365240552244
oct4745350261234
91174616657260
10340034413212
1112123161a50a
1255a98a06390
13260b006cb00
141265a10ab24
158ca21e23ac
hex4f2ba1629c

340034413212 has 288 divisors, whose sum is σ = 985063584960. Its totient is φ = 101314437120.

The previous prime is 340034413211. The next prime is 340034413361. The reversal of 340034413212 is 212314430043.

340034413212 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 3 + 441 + 3 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340034413211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157349412 + ... + 157351572.

It is an arithmetic number, because the mean of its divisors is an integer number (3420359670).

Almost surely, 2340034413212 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 340034413212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492531792480).

340034413212 is an abundant number, since it is smaller than the sum of its proper divisors (645029171748).

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

340034413212 is a wasteful number, since it uses less digits than its factorization.

340034413212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 340034413212 its reverse (212314430043), we get a palindrome (552348843255).

The spelling of 340034413212 in words is "three hundred forty billion, thirty-four million, four hundred thirteen thousand, two hundred twelve".