Search a number
-
+
648340336 = 24717333461
BaseRepresentation
bin100110101001001…
…110001101110000
31200011222002202001
4212221032031300
52311433342321
6144200103344
722031542030
oct4651161560
91604862661
10648340336
11302a75766
12161164b54
13a4422747
146216b8c0
153bdbac91
hex26a4e370

648340336 has 40 divisors (see below), whose sum is σ = 1443952224. Its totient is φ = 276245760.

The previous prime is 648340331. The next prime is 648340349. The reversal of 648340336 is 633043846.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 648340295 and 648340304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648340331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2646 + ... + 36106.

Almost surely, 2648340336 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 648340336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721976112).

648340336 is an abundant number, since it is smaller than the sum of its proper divisors (795611888).

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

648340336 is a wasteful number, since it uses less digits than its factorization.

648340336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33649 (or 33643 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The square root of 648340336 is about 25462.5280755859. The cubic root of 648340336 is about 865.5012124134.

The spelling of 648340336 in words is "six hundred forty-eight million, three hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 173 346 692 1211 1384 2422 2768 4844 9688 19376 33461 66922 133844 234227 267688 468454 535376 936908 1873816 3747632 5788753 11577506 23155012 40521271 46310024 81042542 92620048 162085084 324170168 648340336