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340307776 = 266121429
BaseRepresentation
bin10100010010001…
…010111101000000
3212201100102111201
4110102022331000
51144104322101
653433550544
711301365644
oct2422127500
9781312451
10340307776
111651052a6
1295b75454
1355671763
14332a6c24
151ed21e01
hex1448af40

340307776 has 42 divisors (see below), whose sum is σ = 687030630. Its totient is φ = 167247360.

The previous prime is 340307771. The next prime is 340307791. The reversal of 340307776 is 677703043.

It can be written as a sum of positive squares in 3 ways, for example, as 70560000 + 269747776 = 8400^2 + 16424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340307771) 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 5 ways as a sum of consecutive naturals, for example, 237430 + ... + 238858.

Almost surely, 2340307776 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 340307776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343515315).

340307776 is an abundant number, since it is smaller than the sum of its proper divisors (346722854).

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

340307776 is an equidigital number, since it uses as much as digits as its factorization.

340307776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 37.

The square root of 340307776 is about 18447.4327753213. The cubic root of 340307776 is about 698.1637423969.

The spelling of 340307776 in words is "three hundred forty million, three hundred seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1429 1952 2858 3721 3904 5716 7442 11432 14884 22864 29768 45728 59536 87169 91456 119072 174338 238144 348676 697352 1394704 2789408 5317309 5578816 10634618 21269236 42538472 85076944 170153888 340307776