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68533344 = 2533117211
BaseRepresentation
bin1000001010110…
…11110001100000
311202221212002000
410011123301200
5120021031334
610444524000
71461344445
oct405336140
9152855060
1068533344
113575a130
121ab50600
1311277099
14915d9cc
15603b299
hex415bc60

68533344 has 96 divisors (see below), whose sum is σ = 218090880. Its totient is φ = 20764800.

The previous prime is 68533319. The next prime is 68533363. The reversal of 68533344 is 44333586.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68533299 and 68533308.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5899 + ... + 13109.

It is an arithmetic number, because the mean of its divisors is an integer number (2271780).

Almost surely, 268533344 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 68533344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109045440).

68533344 is an abundant number, since it is smaller than the sum of its proper divisors (149557536).

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

68533344 is a wasteful number, since it uses less digits than its factorization.

68533344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7241 (or 7227 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 68533344 is about 8278.4868182537. The cubic root of 68533344 is about 409.2298530864.

The spelling of 68533344 in words is "sixty-eight million, five hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 7211 9504 14422 21633 28844 43266 57688 64899 79321 86532 115376 129798 158642 173064 194697 230752 237963 259596 317284 346128 389394 475926 519192 634568 692256 713889 778788 951852 1038384 1269136 1427778 1557576 1903704 2076768 2141667 2538272 2855556 3115152 3807408 4283334 5711112 6230304 7614816 8566668 11422224 17133336 22844448 34266672 68533344