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68320368 = 2433167947
BaseRepresentation
bin1000001001001…
…11110001110000
311202120000221000
410010213301300
5114442222433
610440202000
71456466514
oct404476160
9152500830
1068320368
1135624116
121aa69300
131120116c
149106144
155ee8113
hex4127c70

68320368 has 80 divisors (see below), whose sum is σ = 197487360. Its totient is φ = 22613184.

The previous prime is 68320363. The next prime is 68320381. The reversal of 68320368 is 86302386.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68320363) by changing a digit.

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, 71671 + ... + 72617.

It is an arithmetic number, because the mean of its divisors is an integer number (2468592).

Almost surely, 268320368 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 68320368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98743680).

68320368 is an abundant number, since it is smaller than the sum of its proper divisors (129166992).

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

68320368 is a wasteful number, since it uses less digits than its factorization.

68320368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 68320368 is about 8265.6135888390. The cubic root of 68320368 is about 408.8055021005.

The spelling of 68320368 in words is "sixty-eight million, three hundred twenty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 167 216 334 432 501 668 947 1002 1336 1503 1894 2004 2672 2841 3006 3788 4008 4509 5682 6012 7576 8016 8523 9018 11364 12024 15152 17046 18036 22728 24048 25569 34092 36072 45456 51138 68184 72144 102276 136368 158149 204552 316298 409104 474447 632596 948894 1265192 1423341 1897788 2530384 2846682 3795576 4270023 5693364 7591152 8540046 11386728 17080092 22773456 34160184 68320368