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335412 = 22327113
BaseRepresentation
bin1010001111000110100
3122001002200
41101320310
541213122
611104500
72564610
oct1217064
9561080
10335412
1120a000
12142130
13b988c
148a340
15695ac
hex51e34

335412 has 72 divisors (see below), whose sum is σ = 1065792. Its totient is φ = 87120.

The previous prime is 335411. The next prime is 335417. The reversal of 335412 is 214533.

It is a super-2 number, since 2×3354122 = 225002419488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30487 + ... + 30497.

2335412 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 335412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532896).

335412 is an abundant number, since it is smaller than the sum of its proper divisors (730380).

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

335412 is a wasteful number, since it uses less digits than its factorization.

335412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 23 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 335412 is about 579.1476495679. The cubic root of 335412 is about 69.4799555742.

Adding to 335412 its reverse (214533), we get a palindrome (549945).

It can be divided in two parts, 335 and 412, that added together give a palindrome (747).

The spelling of 335412 in words is "three hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 121 126 132 154 198 231 242 252 308 363 396 462 484 693 726 847 924 1089 1331 1386 1452 1694 2178 2541 2662 2772 3388 3993 4356 5082 5324 7623 7986 9317 10164 11979 15246 15972 18634 23958 27951 30492 37268 47916 55902 83853 111804 167706 335412