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463068 = 223219677
BaseRepresentation
bin1110001000011011100
3212112012200
41301003130
5104304233
613531500
73636024
oct1610334
9775180
10463068
11296a01
121a3b90
13132a08
14c0a84
1592313
hex710dc

463068 has 36 divisors (see below), whose sum is σ = 1233960. Its totient is φ = 146016.

The previous prime is 463033. The next prime is 463093. The reversal of 463068 is 860364.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346 + ... + 1022.

2463068 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 463068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616980).

463068 is an abundant number, since it is smaller than the sum of its proper divisors (770892).

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

463068 is a wasteful number, since it uses less digits than its factorization.

463068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 463068 is about 680.4909992057. The cubic root of 463068 is about 77.3656639160.

The spelling of 463068 in words is "four hundred sixty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 677 684 1354 2031 2708 4062 6093 8124 12186 12863 24372 25726 38589 51452 77178 115767 154356 231534 463068