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340736256 = 2832737571
BaseRepresentation
bin10100010011110…
…011100100000000
3212202011012021100
4110103303210000
51144212030011
653451054400
711305132110
oct2423634400
9782135240
10340736256
11165378213
1296141400
13557917b3
1433379040
151eda8d56
hex144f3900

340736256 has 216 divisors, whose sum is σ = 1155137984. Its totient is φ = 94556160.

The previous prime is 340736251. The next prime is 340736299. The reversal of 340736256 is 652637043.

340736256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3407362562 = 232202392305795072, which contains 22 as substring.

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 340736256.

It is not an unprimeable number, because it can be changed into a prime (340736251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596451 + ... + 597021.

Almost surely, 2340736256 is an apocalyptic number.

340736256 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 340736256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577568992).

340736256 is an abundant number, since it is smaller than the sum of its proper divisors (814401728).

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

340736256 is a wasteful number, since it uses less digits than its factorization.

340736256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 340736256 is about 18459.0426620667. The cubic root of 340736256 is about 698.4566377862.

The spelling of 340736256 in words is "three hundred forty million, seven hundred thirty-six thousand, two hundred fifty-six".