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340070329344 = 21033127113177
BaseRepresentation
bin1001111001011011100…
…01010110110000000000
31012111210002022122222010
410330231301112300000
521032431001014334
6420120503212520
733366155051064
oct4745561266000
91174702278863
10340070329344
1112124a920869
1255aa8a47140
13260b7636865
1412660bb9aa4
158ca54390e9
hex4f2dc56c00

340070329344 has 176 divisors, whose sum is σ = 939174342656. Its totient is φ = 109287014400.

The previous prime is 340070329343. The next prime is 340070329351. The reversal of 340070329344 is 443923070043.

It is a super-3 number, since 3×3400703293443 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (340070329343) 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 15 ways as a sum of consecutive naturals, for example, 25801284 + ... + 25814460.

It is an arithmetic number, because the mean of its divisors is an integer number (5336217856).

Almost surely, 2340070329344 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 340070329344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469587171328).

340070329344 is an abundant number, since it is smaller than the sum of its proper divisors (599104013312).

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

340070329344 is a wasteful number, since it uses less digits than its factorization.

340070329344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13502 (or 13484 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

Adding to 340070329344 its reverse (443923070043), we get a palindrome (783993399387).

The spelling of 340070329344 in words is "three hundred forty billion, seventy million, three hundred twenty-nine thousand, three hundred forty-four".