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68217344 = 291337277
BaseRepresentation
bin1000001000011…
…10101000000000
311202100210121022
410010032220000
5114430423334
610434045012
71455560246
oct404165000
9152323538
1068217344
1135563778
121aa19768
13111962c0
1490ba796
155ec782e
hex410ea00

68217344 has 80 divisors (see below), whose sum is σ = 151297608. Its totient is φ = 30523392.

The previous prime is 68217341. The next prime is 68217349. The reversal of 68217344 is 44371286.

It can be written as a sum of positive squares in 4 ways, for example, as 50239744 + 17977600 = 7088^2 + 4240^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68217341) by changing a digit.

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, 246134 + ... + 246410.

Almost surely, 268217344 is an apocalyptic number.

68217344 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 68217344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75648804).

68217344 is an abundant number, since it is smaller than the sum of its proper divisors (83080264).

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

68217344 is a wasteful number, since it uses less digits than its factorization.

68217344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 68217344 is about 8259.3791534231. The cubic root of 68217344 is about 408.5999120396.

The spelling of 68217344 in words is "sixty-eight million, two hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 256 277 296 416 481 512 554 592 832 962 1108 1184 1664 1924 2216 2368 3328 3601 3848 4432 4736 6656 7202 7696 8864 9472 10249 14404 15392 17728 18944 20498 28808 30784 35456 40996 57616 61568 70912 81992 115232 123136 133237 141824 163984 230464 246272 266474 327968 460928 532948 655936 921856 1065896 1311872 1843712 2131792 2623744 4263584 5247488 8527168 17054336 34108672 68217344