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340249536 = 26321183647
BaseRepresentation
bin10100010001111…
…100101111000000
3212201020110121200
4110101330233000
51144100441121
653432421200
711301034104
oct2421745700
9781213550
10340249536
11165075570
1295b47800
13556510b3
143328d904
151ed0ea26
hex1447cbc0

340249536 has 168 divisors, whose sum is σ = 1078406784. Its totient is φ = 101706240.

The previous prime is 340249531. The next prime is 340249541. The reversal of 340249536 is 635942043.

340249536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (340249531) and next prime (340249541).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 340249536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340249531) 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 23 ways as a sum of consecutive naturals, for example, 525565 + ... + 526211.

It is an arithmetic number, because the mean of its divisors is an integer number (6419088).

Almost surely, 2340249536 is an apocalyptic number.

340249536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539203392).

340249536 is an abundant number, since it is smaller than the sum of its proper divisors (738157248).

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

340249536 is a wasteful number, since it uses less digits than its factorization.

340249536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 340249536 is about 18445.8541683490. The cubic root of 340249536 is about 698.1239123969.

The spelling of 340249536 in words is "three hundred forty million, two hundred forty-nine thousand, five hundred thirty-six".