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343112 = 23711557
BaseRepresentation
bin1010011110001001000
3122102122212
41103301020
541434422
611204252
72626220
oct1236110
9572585
10343112
11214870
12146688
13c0233
148d080
156b9e2
hex53c48

343112 has 32 divisors (see below), whose sum is σ = 803520. Its totient is φ = 133440.

The previous prime is 343087. The next prime is 343127. The reversal of 343112 is 211343.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a plaindrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338 + ... + 894.

It is an arithmetic number, because the mean of its divisors is an integer number (25110).

2343112 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 343112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760).

343112 is an abundant number, since it is smaller than the sum of its proper divisors (460408).

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

343112 is a wasteful number, since it uses less digits than its factorization.

343112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 577 counting only the distinct ones).

The product of its digits is 72, while the sum is 14.

The square root of 343112 is about 585.7576290583. The cubic root of 343112 is about 70.0076182185.

Adding to 343112 its reverse (211343), we get a palindrome (554455).

Subtracting from 343112 its reverse (211343), we obtain a square (131769 = 3632).

It can be divided in two parts, 3431 and 12, that added together give a palindrome (3443).

The spelling of 343112 in words is "three hundred forty-three thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 557 616 1114 2228 3899 4456 6127 7798 12254 15596 24508 31192 42889 49016 85778 171556 343112