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68322432 = 273181983
BaseRepresentation
bin1000001001010…
…00010010000000
311202120010202110
410010220102000
5114442304212
610440215320
71456505523
oct404502200
9152503673
1068322432
1135625722
121aa6a540
1311202099
149106bba
155ee8a3c
hex4128480

68322432 has 64 divisors (see below), whose sum is σ = 182669760. Its totient is φ = 22625280.

The previous prime is 68322427. The next prime is 68322437. The reversal of 68322432 is 23422386.

It is an interprime number because it is at equal distance from previous prime (68322427) and next prime (68322437).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 68322432.

It is not an unprimeable number, because it can be changed into a prime (68322437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69013 + ... + 69995.

It is an arithmetic number, because the mean of its divisors is an integer number (2854215).

Almost surely, 268322432 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 68322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91334880).

68322432 is an abundant number, since it is smaller than the sum of its proper divisors (114347328).

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

68322432 is a wasteful number, since it uses less digits than its factorization.

68322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1169 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 68322432 is about 8265.7384425107. The cubic root of 68322432 is about 408.8096188136.

The spelling of 68322432 in words is "sixty-eight million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 362 384 543 724 983 1086 1448 1966 2172 2896 2949 3932 4344 5792 5898 7864 8688 11584 11796 15728 17376 23168 23592 31456 34752 47184 62912 69504 94368 125824 177923 188736 355846 377472 533769 711692 1067538 1423384 2135076 2846768 4270152 5693536 8540304 11387072 17080608 22774144 34161216 68322432