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334305012912 = 2431343137199457
BaseRepresentation
bin1001101110101100010…
…00011010110010110000
31011221220021212020121220
410313112020122302300
520434124040403122
6413324432345040
733103250503263
oct4672610326260
91157807766556
10334305012912
11119861512242
125495a0a5180
13256a9079b10
141227521acda
158a6920c25c
hex4dd621acb0

334305012912 has 320 divisors, whose sum is σ = 965554867200. Its totient is φ = 99019210752.

The previous prime is 334305012893. The next prime is 334305012919. The reversal of 334305012912 is 219210503433.

It is a super-2 number, since 2×3343050129122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334305012919) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 731520588 + ... + 731521044.

It is an arithmetic number, because the mean of its divisors is an integer number (3017358960).

Almost surely, 2334305012912 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 334305012912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482777433600).

334305012912 is an abundant number, since it is smaller than the sum of its proper divisors (631249854288).

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

334305012912 is a wasteful number, since it uses less digits than its factorization.

334305012912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 334305012912 in words is "three hundred thirty-four billion, three hundred five million, twelve thousand, nine hundred twelve".