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996336 = 2432111737
BaseRepresentation
bin11110011001111110000
31212121201100
43303033300
5223340321
633204400
711316525
oct3631760
91777640
10996336
11620620
12400700
1328b663
141bd14c
1514a326
hexf33f0

996336 has 120 divisors (see below), whose sum is σ = 3307824. Its totient is φ = 276480.

The previous prime is 996329. The next prime is 996361. The reversal of 996336 is 633699.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 9 + 96 + 33 + 65 + 311 + 67 .

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 996336.

It is a congruent number.

It is an unprimeable number.

996336 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 23 ways as a sum of consecutive naturals, for example, 26910 + ... + 26946.

2996336 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 996336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653912).

996336 is an abundant number, since it is smaller than the sum of its proper divisors (2311488).

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

996336 is a wasteful number, since it uses less digits than its factorization.

996336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 70 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 996336 is about 998.1663188066. The cubic root of 996336 is about 99.8777171968.

It can be divided in two parts, 9963 and 36, that added together give a palindrome (9999).

The spelling of 996336 in words is "nine hundred ninety-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 37 44 48 51 66 68 72 74 88 99 102 111 132 136 144 148 153 176 187 198 204 222 264 272 296 306 333 374 396 407 408 444 528 561 592 612 629 666 748 792 814 816 888 1122 1221 1224 1258 1332 1496 1584 1628 1683 1776 1887 2244 2442 2448 2516 2664 2992 3256 3366 3663 3774 4488 4884 5032 5328 5661 6512 6732 6919 7326 7548 8976 9768 10064 11322 13464 13838 14652 15096 19536 20757 22644 26928 27676 29304 30192 41514 45288 55352 58608 62271 83028 90576 110704 124542 166056 249084 332112 498168 996336