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340261056 = 26324871213
BaseRepresentation
bin10100010001111…
…111100011000000
3212201021001102100
4110101333203000
51144101323211
653432550400
711301112512
oct2421774300
9781231370
10340261056
11165083193
1295b52400
1355656405
1433293bb2
151ed13156
hex1447f8c0

340261056 has 84 divisors (see below), whose sum is σ = 978105232. Its totient is φ = 113094144.

The previous prime is 340261043. The next prime is 340261079. The reversal of 340261056 is 650162043.

340261056 is a `hidden beast` number, since 3 + 40 + 2 + 610 + 5 + 6 = 666.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 279906 + ... + 281118.

Almost surely, 2340261056 is an apocalyptic number.

340261056 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 340261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489052616).

340261056 is an abundant number, since it is smaller than the sum of its proper divisors (637844176).

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

340261056 is a wasteful number, since it uses less digits than its factorization.

340261056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 340261056 is about 18446.1664309959. The cubic root of 340261056 is about 698.1317912190.

The spelling of 340261056 in words is "three hundred forty million, two hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 487 576 974 1213 1461 1948 2426 2922 3639 3896 4383 4852 5844 7278 7792 8766 9704 10917 11688 14556 15584 17532 19408 21834 23376 29112 31168 35064 38816 43668 46752 58224 70128 77632 87336 93504 116448 140256 174672 232896 280512 349344 590731 698688 1181462 1772193 2362924 3544386 4725848 5316579 7088772 9451696 10633158 14177544 18903392 21266316 28355088 37806784 42532632 56710176 85065264 113420352 170130528 340261056