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68329664 = 2613174831
BaseRepresentation
bin1000001001010…
…10000011000000
311202120111200022
410010222003000
5114443022124
610440313012
71456535564
oct404520300
9152514608
1068329664
11356300a7
121aa72768
1311205470
1491096a4
155eeac5e
hex412a0c0

68329664 has 56 divisors (see below), whose sum is σ = 154643328. Its totient is φ = 29675520.

The previous prime is 68329627. The next prime is 68329721. The reversal of 68329664 is 46692386.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11729 + ... + 16559.

It is an arithmetic number, because the mean of its divisors is an integer number (2761488).

Almost surely, 268329664 is an apocalyptic number.

68329664 is a gapful number since it is divisible by the number (64) 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 68329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77321664).

68329664 is an abundant number, since it is smaller than the sum of its proper divisors (86313664).

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

68329664 is a wasteful number, since it uses less digits than its factorization.

68329664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4873 (or 4863 counting only the distinct ones).

The product of its digits is 373248, while the sum is 44.

The square root of 68329664 is about 8266.1758994108. The cubic root of 68329664 is about 408.8240426115.

The spelling of 68329664 in words is "sixty-eight million, three hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 4831 7072 9662 14144 19324 38648 62803 77296 82127 125606 154592 164254 251212 309184 328508 502424 657016 1004848 1067651 1314032 2009696 2135302 2628064 4019392 4270604 5256128 8541208 17082416 34164832 68329664