Search a number
-
+
68346016 = 2541113461
BaseRepresentation
bin1000001001011…
…10000010100000
311202121100002221
410010232002200
5114444033031
610440520424
71456634344
oct404560240
9152540087
1068346016
1135641412
121aa80114
131120ca3b
149111624
156000a11
hex412e0a0

68346016 has 48 divisors (see below), whose sum is σ = 139359528. Its totient is φ = 32972800.

The previous prime is 68346007. The next prime is 68346017. The reversal of 68346016 is 61064386.

It can be written as a sum of positive squares in 4 ways, for example, as 14470416 + 53875600 = 3804^2 + 7340^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68346017) 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, 148026 + ... + 148486.

Almost surely, 268346016 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 68346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69679764).

68346016 is an abundant number, since it is smaller than the sum of its proper divisors (71013512).

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

68346016 is a wasteful number, since it uses less digits than its factorization.

68346016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 68346016 is about 8267.1649312204. The cubic root of 68346016 is about 408.8566519604.

The spelling of 68346016 in words is "sixty-eight million, three hundred forty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 41 82 113 164 226 328 452 461 656 904 922 1312 1808 1844 3616 3688 4633 7376 9266 14752 18532 18901 37064 37802 52093 74128 75604 104186 148256 151208 208372 302416 416744 604832 833488 1666976 2135813 4271626 8543252 17086504 34173008 68346016