Search a number
-
+
608634 = 23413172
BaseRepresentation
bin10010100100101111010
31010220220000
42110211322
5123434014
621013430
75113305
oct2244572
91126800
10608634
11386304
12254276
13184050
1411bb3c
15c0509
hex9497a

608634 has 60 divisors (see below), whose sum is σ = 1560174. Its totient is φ = 176256.

The previous prime is 608633. The next prime is 608653. The reversal of 608634 is 436806.

608634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 558009 + 50625 = 747^2 + 225^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 608598 and 608607.

It is not an unprimeable number, because it can be changed into a prime (608633) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 35794 + ... + 35810.

2608634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 608634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780087).

608634 is an abundant number, since it is smaller than the sum of its proper divisors (951540).

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

608634 is a wasteful number, since it uses less digits than its factorization.

608634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 35 counting only the distinct ones).

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

The square root of 608634 is about 780.1499855797. The cubic root of 608634 is about 84.7459078610.

The spelling of 608634 in words is "six hundred eight thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 289 306 351 442 459 578 663 702 867 918 1053 1326 1377 1734 1989 2106 2601 2754 3757 3978 5202 5967 7514 7803 11271 11934 15606 17901 22542 23409 33813 35802 46818 67626 101439 202878 304317 608634