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334152 = 233371317
BaseRepresentation
bin1010001100101001000
3121222101000
41101211020
541143102
611055000
72561130
oct1214510
9558330
10334152
11209065
12141460
13b9130
1489ac0
156901c
hex51948

334152 has 128 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 82944.

The previous prime is 334133. The next prime is 334157. The reversal of 334152 is 251433.

334152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3341522 = 223315118208, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 334152.

It is not an unprimeable number, because it can be changed into a prime (334157) by changing a digit.

334152 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 31 ways as a sum of consecutive naturals, for example, 19648 + ... + 19664.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2334152 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 334152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

334152 is an abundant number, since it is smaller than the sum of its proper divisors (875448).

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

334152 is a wasteful number, since it uses less digits than its factorization.

334152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 42 counting only the distinct ones).

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

The square root of 334152 is about 578.0588205365. The cubic root of 334152 is about 69.3928442046.

Adding to 334152 its reverse (251433), we get a palindrome (585585).

The spelling of 334152 in words is "three hundred thirty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 17 18 21 24 26 27 28 34 36 39 42 51 52 54 56 63 68 72 78 84 91 102 104 108 117 119 126 136 153 156 168 182 189 204 216 221 234 238 252 273 306 312 351 357 364 378 408 442 459 468 476 504 546 612 663 702 714 728 756 819 884 918 936 952 1071 1092 1224 1326 1404 1428 1512 1547 1638 1768 1836 1989 2142 2184 2457 2652 2808 2856 3094 3213 3276 3672 3978 4284 4641 4914 5304 5967 6188 6426 6552 7956 8568 9282 9828 11934 12376 12852 13923 15912 18564 19656 23868 25704 27846 37128 41769 47736 55692 83538 111384 167076 334152