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340217856 = 2123211839
BaseRepresentation
bin10100010001110…
…101000000000000
3212201011212011100
4110101311000000
51144043432411
653432014400
711300542536
oct2421650000
9781155140
10340217856
11165053790
1295b31400
135563c854
1433282156
151ed05456
hex14475000

340217856 has 156 divisors (see below), whose sum is σ = 1073348640. Its totient is φ = 102973440.

The previous prime is 340217807. The next prime is 340217861. The reversal of 340217856 is 658712043.

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 340217856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405085 + ... + 405923.

It is an arithmetic number, because the mean of its divisors is an integer number (6880440).

Almost surely, 2340217856 is an apocalyptic number.

340217856 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 340217856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536674320).

340217856 is an abundant number, since it is smaller than the sum of its proper divisors (733130784).

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

340217856 is a wasteful number, since it uses less digits than its factorization.

340217856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 340217856 is about 18444.9954188121. The cubic root of 340217856 is about 698.1022447190.

Adding to 340217856 its reverse (658712043), we get a palindrome (998929899).

The spelling of 340217856 in words is "three hundred forty million, two hundred seventeen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 839 1024 1056 1152 1408 1536 1584 1678 2048 2112 2304 2517 2816 3072 3168 3356 4096 4224 4608 5034 5632 6144 6336 6712 7551 8448 9216 9229 10068 11264 12288 12672 13424 15102 16896 18432 18458 20136 22528 25344 26848 27687 30204 33792 36864 36916 40272 45056 50688 53696 55374 60408 67584 73832 80544 83061 101376 107392 110748 120816 135168 147664 161088 166122 202752 214784 221496 241632 295328 322176 332244 405504 429568 442992 483264 590656 644352 664488 859136 885984 966528 1181312 1288704 1328976 1718272 1771968 1933056 2362624 2577408 2657952 3436544 3543936 3866112 4725248 5154816 5315904 7087872 7732224 9450496 10309632 10631808 14175744 15464448 18900992 21263616 28351488 30928896 37801984 42527232 56702976 85054464 113405952 170108928 340217856