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996384 = 25397107
BaseRepresentation
bin11110011010000100000
31212121210010
43303100200
5223341014
633204520
711316624
oct3632040
91777703
10996384
11620664
12400740
1328b69c
141bd184
1514a359
hexf3420

996384 has 48 divisors (see below), whose sum is σ = 2667168. Its totient is φ = 325632.

The previous prime is 996367. The next prime is 996403. The reversal of 996384 is 483699.

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 996384.

It is an unprimeable number.

996384 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, 9259 + ... + 9365.

It is an arithmetic number, because the mean of its divisors is an integer number (55566).

2996384 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 996384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333584).

996384 is an abundant number, since it is smaller than the sum of its proper divisors (1670784).

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

996384 is a wasteful number, since it uses less digits than its factorization.

996384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 996384 is about 998.1903626063. The cubic root of 996384 is about 99.8793210913.

The spelling of 996384 in words is "nine hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 107 194 214 291 321 388 428 582 642 776 856 1164 1284 1552 1712 2328 2568 3104 3424 4656 5136 9312 10272 10379 20758 31137 41516 62274 83032 124548 166064 249096 332128 498192 996384