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5834634 = 23131931127
BaseRepresentation
bin10110010000011110001010
3101222102121120
4112100132022
52443202014
6325020110
7100410411
oct26203612
911872546
105834634
113325713
121b54636
131293960
14abc478
157a3ba9
hex59078a

5834634 has 64 divisors (see below), whose sum is σ = 13762560. Its totient is φ = 1632960.

The previous prime is 5834629. The next prime is 5834657. The reversal of 5834634 is 4364385.

5834634 = 932 + 942 + ... + 2632.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 5834595 and 5834604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45879 + ... + 46005.

It is an arithmetic number, because the mean of its divisors is an integer number (215040).

Almost surely, 25834634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5834634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881280).

5834634 is an abundant number, since it is smaller than the sum of its proper divisors (7927926).

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

5834634 is a wasteful number, since it uses less digits than its factorization.

5834634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195.

The product of its digits is 34560, while the sum is 33.

The square root of 5834634 is about 2415.4987062716. The cubic root of 5834634 is about 180.0270946868.

The spelling of 5834634 in words is "five million, eight hundred thirty-four thousand, six hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 31 38 39 57 62 78 93 114 127 186 247 254 381 403 494 589 741 762 806 1178 1209 1482 1651 1767 2413 2418 3302 3534 3937 4826 4953 7239 7657 7874 9906 11811 14478 15314 22971 23622 31369 45942 51181 62738 74803 94107 102362 149606 153543 188214 224409 307086 448818 972439 1944878 2917317 5834634