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343356 = 223133171
BaseRepresentation
bin1010011110100111100
3122102222220
41103310330
541441411
611205340
72630016
oct1236474
9572886
10343356
11214a72
12146850
13c0390
148d1b6
156bb06
hex53d3c

343356 has 48 divisors (see below), whose sum is σ = 903168. Its totient is φ = 100800.

The previous prime is 343337. The next prime is 343373. The reversal of 343356 is 653343.

It is a d-powerful number, because it can be written as 33 + 46 + 35 + 310 + 5 + 67 .

Its product of digits (3240) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

343356 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4801 + ... + 4871.

It is an arithmetic number, because the mean of its divisors is an integer number (18816).

2343356 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 343356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451584).

343356 is an abundant number, since it is smaller than the sum of its proper divisors (559812).

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

343356 is a wasteful number, since it uses less digits than its factorization.

343356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 120 counting only the distinct ones).

The product of its digits is 3240, while the sum is 24.

The square root of 343356 is about 585.9658693132. The cubic root of 343356 is about 70.0242093134.

Adding to 343356 its reverse (653343), we get a palindrome (996699).

The spelling of 343356 in words is "three hundred forty-three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 71 78 93 124 142 156 186 213 284 372 403 426 806 852 923 1209 1612 1846 2201 2418 2769 3692 4402 4836 5538 6603 8804 11076 13206 26412 28613 57226 85839 114452 171678 343356