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340720256 = 2717315051
BaseRepresentation
bin10100010011101…
…111101010000000
3212202010101022202
4110103233222000
51144211022011
653450452332
711305034342
oct2423575200
9782111282
10340720256
11165367198
12961340a8
1355787426
1433373292
151eda423b
hex144efa80

340720256 has 64 divisors (see below), whose sum is σ = 742037760. Its totient is φ = 155136000.

The previous prime is 340720253. The next prime is 340720271. The reversal of 340720256 is 652027043.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (340720253) 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 7 ways as a sum of consecutive naturals, for example, 64931 + ... + 69981.

It is an arithmetic number, because the mean of its divisors is an integer number (11594340).

Almost surely, 2340720256 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 340720256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371018880).

340720256 is an abundant number, since it is smaller than the sum of its proper divisors (401317504).

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

340720256 is a wasteful number, since it uses less digits than its factorization.

340720256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113 (or 5101 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 340720256 is about 18458.6092650557. The cubic root of 340720256 is about 698.4457051064.

Adding to 340720256 its reverse (652027043), we get a palindrome (992747299).

The spelling of 340720256 in words is "three hundred forty million, seven hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 272 496 527 544 992 1054 1088 1984 2108 2176 3968 4216 5051 8432 10102 16864 20204 33728 40408 67456 80816 85867 156581 161632 171734 313162 323264 343468 626324 646528 686936 1252648 1373872 2505296 2661877 2747744 5010592 5323754 5495488 10021184 10647508 10990976 20042368 21295016 42590032 85180064 170360128 340720256