Search a number
-
+
631306336 = 2529739319
BaseRepresentation
bin100101101000001…
…111100001100000
31121222220200111011
4211220033201200
52243103300321
6142351030304
721434005153
oct4550174140
91558820434
10631306336
112a43a0881
1215750b394
13a0a3a35b
145dbb5c9a
153a653ae1
hex25a0f860

631306336 has 48 divisors (see below), whose sum is σ = 1303495200. Its totient is φ = 300561408.

The previous prime is 631306327. The next prime is 631306363. The reversal of 631306336 is 633603136.

It is a junction number, because it is equal to n+sod(n) for n = 631306298 and 631306307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63085 + ... + 72403.

It is an arithmetic number, because the mean of its divisors is an integer number (27156150).

Almost surely, 2631306336 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 631306336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651747600).

631306336 is an abundant number, since it is smaller than the sum of its proper divisors (672188864).

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

631306336 is a wasteful number, since it uses less digits than its factorization.

631306336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9431 (or 9423 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 31.

The square root of 631306336 is about 25125.8101560925. The cubic root of 631306336 is about 857.8540040619.

The spelling of 631306336 in words is "six hundred thirty-one million, three hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 73 116 146 232 292 464 584 928 1168 2117 2336 4234 8468 9319 16936 18638 33872 37276 67744 74552 149104 270251 298208 540502 680287 1081004 1360574 2162008 2721148 4324016 5442296 8648032 10884592 19728323 21769184 39456646 78913292 157826584 315653168 631306336