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340686528 = 263713173137
BaseRepresentation
bin10100010011100…
…111011011000000
3212202001200001120
4110103213123000
51144203432103
653450032240
711304534120
oct2423473300
9782050046
10340686528
11165343916
1296118680
1355774c80
1433364c80
151ed99253
hex144e76c0

340686528 has 448 divisors, whose sum is σ = 1245339648. Its totient is φ = 79626240.

The previous prime is 340686527. The next prime is 340686529. The reversal of 340686528 is 825686043.

It is an interprime number because it is at equal distance from previous prime (340686527) and next prime (340686529).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 340686528.

It is not an unprimeable number, because it can be changed into a prime (340686527) 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 63 ways as a sum of consecutive naturals, for example, 9207726 + ... + 9207762.

It is an arithmetic number, because the mean of its divisors is an integer number (2779776).

Almost surely, 2340686528 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 340686528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622669824).

340686528 is an abundant number, since it is smaller than the sum of its proper divisors (904653120).

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

340686528 is a wasteful number, since it uses less digits than its factorization.

340686528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 340686528 is about 18457.6956308202. The cubic root of 340686528 is about 698.4226578962.

The spelling of 340686528 in words is "three hundred forty million, six hundred eighty-six thousand, five hundred twenty-eight".