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340642512 = 243272232099
BaseRepresentation
bin10100010011011…
…100101011010000
3212201222102200100
4110103130223100
51144201030022
653445052400
711304261600
oct2423345320
9781872610
10340642512
11165313841
12960b7100
135575ac22
1433352c00
151ed8b1ac
hex144dcad0

340642512 has 180 divisors, whose sum is σ = 1157738400. Its totient is φ = 93050496.

The previous prime is 340642499. The next prime is 340642513. The reversal of 340642512 is 215246043.

340642512 is a `hidden beast` number, since 3 + 4 + 0 + 642 + 5 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340642513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 161239 + ... + 163337.

It is an arithmetic number, because the mean of its divisors is an integer number (6431880).

Almost surely, 2340642512 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 340642512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578869200).

340642512 is an abundant number, since it is smaller than the sum of its proper divisors (817095888).

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

340642512 is a wasteful number, since it uses less digits than its factorization.

340642512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 340642512 is about 18456.5032441143. The cubic root of 340642512 is about 698.3925783429.

Adding to 340642512 its reverse (215246043), we get a palindrome (555888555).

The spelling of 340642512 in words is "three hundred forty million, six hundred forty-two thousand, five hundred twelve".