Search a number
-
+
333396 = 223573
BaseRepresentation
bin1010001011001010100
3121221100000
41101121110
541132041
611051300
72556000
oct1213124
9557300
10333396
11208538
12140b30
13b899b
1489700
1568bb6
hex51654

333396 has 72 divisors (see below), whose sum is σ = 1019200. Its totient is φ = 95256.

The previous prime is 333383. The next prime is 333397. The reversal of 333396 is 693333.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×3333962 = 222305785632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333397) by changing a digit.

333396 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, 47625 + ... + 47631.

333396 is a Friedman number, since it can be written as ((33+9)*3)^3/6, using all its digits and the basic arithmetic operations.

2333396 is an apocalyptic number.

333396 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 333396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509600).

333396 is an abundant number, since it is smaller than the sum of its proper divisors (685804).

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

333396 is an equidigital number, since it uses as much as digits as its factorization.

333396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 12 counting only the distinct ones).

The product of its digits is 4374, while the sum is 27.

The square root of 333396 is about 577.4045375644. The cubic root of 333396 is about 69.3404722268.

Multiplying 333396 by its product of digits (4374), we get a cube (1458274104 = 11343).

It can be divided in two parts, 333 and 396, that added together give a 6-th power (729 = 36).

The spelling of 333396 in words is "three hundred thirty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 343 378 441 486 567 588 686 756 882 972 1029 1134 1323 1372 1701 1764 2058 2268 2646 3087 3402 3969 4116 5292 6174 6804 7938 9261 11907 12348 15876 18522 23814 27783 37044 47628 55566 83349 111132 166698 333396