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68352354 = 2327311071
BaseRepresentation
bin1000001001011…
…11100101100010
311202121122210200
410010233211202
5114444233404
610441010030
71456662000
oct404574542
9152548720
1068352354
1135646154
121aa83916
13112128a5
149113a70
156002839
hex412f962

68352354 has 48 divisors (see below), whose sum is σ = 172723200. Its totient is φ = 19527480.

The previous prime is 68352353. The next prime is 68352421. The reversal of 68352354 is 45325386.

68352354 = T452 + T453 + ... + T794.

It is a happy number.

68352354 is a `hidden beast` number, since 6 + 83 + 523 + 54 = 666.

It is not an unprimeable number, because it can be changed into a prime (68352353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639 + ... + 11709.

It is an arithmetic number, because the mean of its divisors is an integer number (3598400).

Almost surely, 268352354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68352354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86361600).

68352354 is an abundant number, since it is smaller than the sum of its proper divisors (104370846).

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

68352354 is a wasteful number, since it uses less digits than its factorization.

68352354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11100 (or 11083 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 68352354 is about 8267.5482460038. The cubic root of 68352354 is about 408.8692898751.

The spelling of 68352354 in words is "sixty-eight million, three hundred fifty-two thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 11071 22142 33213 66426 77497 99639 154994 199278 232491 464982 542479 697473 1084958 1394946 1627437 3254874 3797353 4882311 7594706 9764622 11392059 22784118 34176177 68352354