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648336 = 243131039
BaseRepresentation
bin10011110010010010000
31012221100110
42132102100
5131221321
621521320
75340123
oct2362220
91187313
10648336
11403117
12273240
13199140
1412c3ba
15cc176
hex9e490

648336 has 40 divisors (see below), whose sum is σ = 1805440. Its totient is φ = 199296.

The previous prime is 648331. The next prime is 648341. The reversal of 648336 is 633846.

It is an interprime number because it is at equal distance from previous prime (648331) and next prime (648341).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (648331) by changing a digit.

648336 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105 + ... + 1143.

It is an arithmetic number, because the mean of its divisors is an integer number (45136).

2648336 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 648336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902720).

648336 is an abundant number, since it is smaller than the sum of its proper divisors (1157104).

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

648336 is a wasteful number, since it uses less digits than its factorization.

648336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1057 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 648336 is about 805.1931445312. The cubic root of 648336 is about 86.5499282963.

The spelling of 648336 in words is "six hundred forty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1039 2078 3117 4156 6234 8312 12468 13507 16624 24936 27014 40521 49872 54028 81042 108056 162084 216112 324168 648336