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68890304 = 267367419
BaseRepresentation
bin1000001101100…
…10111011000000
311210121222201202
410012302323000
5120113442204
610500320332
71464362240
oct406627300
9153558652
1068890304
113598333a
121b0a30a8
13113706c2
149213b20
1560abe1e
hex41b2ec0

68890304 has 56 divisors (see below), whose sum is σ = 157032960. Its totient is φ = 29373696.

The previous prime is 68890279. The next prime is 68890331. The reversal of 68890304 is 40309886.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 164207 + ... + 164625.

It is an arithmetic number, because the mean of its divisors is an integer number (2804160).

Almost surely, 268890304 is an apocalyptic number.

68890304 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 68890304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78516480).

68890304 is an abundant number, since it is smaller than the sum of its proper divisors (88142656).

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

68890304 is a wasteful number, since it uses less digits than its factorization.

68890304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 68890304 is about 8300.0183132328. The cubic root of 68890304 is about 409.9391224306.

The spelling of 68890304 in words is "sixty-eight million, eight hundred ninety thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 367 419 448 734 838 1468 1676 2569 2933 2936 3352 5138 5866 5872 6704 10276 11732 11744 13408 20552 23464 23488 26816 41104 46928 82208 93856 153773 164416 187712 307546 615092 1076411 1230184 2152822 2460368 4305644 4920736 8611288 9841472 17222576 34445152 68890304