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336996 = 2232112337
BaseRepresentation
bin1010010010001100100
3122010021100
41102101210
541240441
611120100
72602332
oct1222144
9563240
10336996
11210210
12143030
13ba50a
148ab52
1569cb6
hex52464

336996 has 72 divisors (see below), whose sum is σ = 995904. Its totient is φ = 95040.

The previous prime is 336989. The next prime is 336997. The reversal of 336996 is 699633.

It is a super-2 number, since 2×3369962 = 227132608032, which contains 22 as substring.

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.

Its product of digits (26244) is a multiple of the sum of its prime factors (81).

It is a self number, because there is not a number n which added to its sum of digits gives 336996.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 336996.

It is not an unprimeable number, because it can be changed into a prime (336997) by changing a digit.

336996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9090 + ... + 9126.

It is an arithmetic number, because the mean of its divisors is an integer number (13832).

2336996 is an apocalyptic number.

336996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497952).

336996 is an abundant number, since it is smaller than the sum of its proper divisors (658908).

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

336996 is a wasteful number, since it uses less digits than its factorization.

336996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 76 counting only the distinct ones).

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

The square root of 336996 is about 580.5135657330. The cubic root of 336996 is about 69.5891580417.

The spelling of 336996 in words is "three hundred thirty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 37 44 46 66 69 74 92 99 111 132 138 148 198 207 222 253 276 333 396 407 414 444 506 666 759 814 828 851 1012 1221 1332 1518 1628 1702 2277 2442 2553 3036 3404 3663 4554 4884 5106 7326 7659 9108 9361 10212 14652 15318 18722 28083 30636 37444 56166 84249 112332 168498 336996