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326733568 = 2873612
BaseRepresentation
bin10011011110011…
…000111100000000
3211202210210012021
4103132120330000
51132120433233
652231011224
711045122000
oct2336307400
9752723167
10326733568
11158483847
1291509b14
13528cb095
1431572000
151da3ee2d
hex13798f00

326733568 has 108 divisors (see below), whose sum is σ = 773245200. Its totient is φ = 137733120.

The previous prime is 326733559. The next prime is 326733599. The reversal of 326733568 is 865337623.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

Its product of digits (544320) is a multiple of the sum of its prime divisors (70).

It is a congruent number.

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, 5356258 + ... + 5356318.

Almost surely, 2326733568 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 326733568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386622600).

326733568 is an abundant number, since it is smaller than the sum of its proper divisors (446511632).

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

326733568 is an frugal number, since it uses more digits than its factorization.

326733568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 70 counting only the distinct ones).

The product of its digits is 544320, while the sum is 43.

The square root of 326733568 is about 18075.7729571933. The cubic root of 326733568 is about 688.7547153343.

The spelling of 326733568 in words is "three hundred twenty-six million, seven hundred thirty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 128 196 224 244 256 343 392 427 448 488 686 784 854 896 976 1372 1568 1708 1792 1952 2744 2989 3136 3416 3721 3904 5488 5978 6272 6832 7442 7808 10976 11956 12544 13664 14884 15616 20923 21952 23912 26047 27328 29768 41846 43904 47824 52094 54656 59536 83692 87808 95648 104188 109312 119072 167384 182329 191296 208376 238144 334768 364658 382592 416752 476288 669536 729316 765184 833504 952576 1276303 1339072 1458632 1667008 2552606 2678144 2917264 3334016 5105212 5356288 5834528 6668032 10210424 11669056 20420848 23338112 40841696 46676224 81683392 163366784 326733568