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346368 = 2831141
BaseRepresentation
bin1010100100100000000
3122121010110
41110210000
542040433
611231320
72641551
oct1244400
9577113
10346368
11217260
12148540
13c1869
1490328
156c963
hex54900

346368 has 72 divisors (see below), whose sum is σ = 1030176. Its totient is φ = 102400.

The previous prime is 346361. The next prime is 346369. The reversal of 346368 is 863643.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 34 + 4 + 39 + 66 + 67 + 8 .

It is not an unprimeable number, because it can be changed into a prime (346361) by changing a digit.

346368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8428 + ... + 8468.

It is an arithmetic number, because the mean of its divisors is an integer number (14308).

2346368 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 346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515088).

346368 is an abundant number, since it is smaller than the sum of its proper divisors (683808).

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

346368 is a wasteful number, since it uses less digits than its factorization.

346368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 57 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 346368 is about 588.5303730480. The cubic root of 346368 is about 70.2283697966.

The spelling of 346368 in words is "three hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 128 132 164 176 192 246 256 264 328 352 384 451 492 528 656 704 768 902 984 1056 1312 1353 1408 1804 1968 2112 2624 2706 2816 3608 3936 4224 5248 5412 7216 7872 8448 10496 10824 14432 15744 21648 28864 31488 43296 57728 86592 115456 173184 346368