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68341768 = 23112174153
BaseRepresentation
bin1000001001011…
…01000000001000
311202121010021121
410010231000020
5114443414033
610440445024
71456616065
oct404550010
9152533247
1068341768
1135639200
121aa79774
131120ab21
14910dc6c
155eee62d
hex412d008

68341768 has 48 divisors (see below), whose sum is σ = 149170140. Its totient is φ = 29230080.

The previous prime is 68341759. The next prime is 68341771. The reversal of 68341768 is 86714386.

It can be written as a sum of positive squares in 2 ways, for example, as 65901924 + 2439844 = 8118^2 + 1562^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14380 + ... + 18532.

Almost surely, 268341768 is an apocalyptic number.

68341768 is a gapful number since it is divisible by the number (68) 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 68341768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74585070).

68341768 is an abundant number, since it is smaller than the sum of its proper divisors (80828372).

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

68341768 is a wasteful number, since it uses less digits than its factorization.

68341768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4183 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 68341768 is about 8266.9080072298. The cubic root of 68341768 is about 408.8481810494.

The spelling of 68341768 in words is "sixty-eight million, three hundred forty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 968 1496 2057 4114 4153 8228 8306 16456 16612 33224 45683 70601 91366 141202 182732 282404 365464 502513 564808 776611 1005026 1553222 2010052 3106444 4020104 6212888 8542721 17085442 34170884 68341768