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68214384 = 24327313759
BaseRepresentation
bin1000001000011…
…01111001110000
311202100122112200
410010031321300
5114430330014
610434023200
71455545520
oct404157160
9152318480
1068214384
1135561527
121aa17b00
1311194b54
1490b9680
155ec6a09
hex410de70

68214384 has 240 divisors, whose sum is σ = 235223040. Its totient is φ = 18040320.

The previous prime is 68214373. The next prime is 68214397. The reversal of 68214384 is 48341286.

68214384 is a `hidden beast` number, since 68 + 214 + 384 = 666.

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

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

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 47 ways as a sum of consecutive naturals, for example, 1156147 + ... + 1156205.

It is an arithmetic number, because the mean of its divisors is an integer number (980096).

Almost surely, 268214384 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 68214384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117611520).

68214384 is an abundant number, since it is smaller than the sum of its proper divisors (167008656).

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

68214384 is a wasteful number, since it uses less digits than its factorization.

68214384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 68214384 is about 8259.1999612553. The cubic root of 68214384 is about 408.5940021387.

The spelling of 68214384 in words is "sixty-eight million, two hundred fourteen thousand, three hundred eighty-four".