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335124 = 223329107
BaseRepresentation
bin1010001110100010100
3122000201000
41101310110
541210444
611103300
72564016
oct1216424
9560630
10335124
11209869
12141b30
13b96ca
148a1b6
1569469
hex51d14

335124 has 48 divisors (see below), whose sum is σ = 907200. Its totient is φ = 106848.

The previous prime is 335123. The next prime is 335131. The reversal of 335124 is 421533.

It is a super-2 number, since 2×3351242 = 224616190752, which contains 22 as substring.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 39 + 311 + 1 + 55 + 217 + 46 .

It is a junction number, because it is equal to n+sod(n) for n = 335097 and 335106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3079 + ... + 3185.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2335124 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 335124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

335124 is an abundant number, since it is smaller than the sum of its proper divisors (572076).

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

335124 is a wasteful number, since it uses less digits than its factorization.

335124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

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

The square root of 335124 is about 578.8989549135. The cubic root of 335124 is about 69.4600636630.

Adding to 335124 its reverse (421533), we get a palindrome (756657).

It can be divided in two parts, 3351 and 24, that added together give a cube (3375 = 153).

The spelling of 335124 in words is "three hundred thirty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 107 108 116 174 214 261 321 348 428 522 642 783 963 1044 1284 1566 1926 2889 3103 3132 3852 5778 6206 9309 11556 12412 18618 27927 37236 55854 83781 111708 167562 335124