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343400 = 235217101
BaseRepresentation
bin1010011110101101000
3122110001112
41103311220
541442100
611205452
72630111
oct1236550
9573045
10343400
11215002
12146888
13c03c5
148d208
156bb35
hex53d68

343400 has 48 divisors (see below), whose sum is σ = 853740. Its totient is φ = 128000.

The previous prime is 343393. The next prime is 343411. The reversal of 343400 is 4343.

It can be written as a sum of positive squares in 6 ways, for example, as 268324 + 75076 = 518^2 + 274^2 .

It is a plaindrome in base 12.

It is a congruent number.

It is an unprimeable number.

343400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3350 + ... + 3450.

2343400 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 343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426870).

343400 is an abundant number, since it is smaller than the sum of its proper divisors (510340).

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

343400 is a wasteful number, since it uses less digits than its factorization.

343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 343400 is about 586.0034129593. The cubic root of 343400 is about 70.0272003136.

Adding to 343400 its reverse (4343), we get a palindrome (347743).

It can be divided in two parts, 34 and 3400, that multiplied together give a square (115600 = 3402).

The spelling of 343400 in words is "three hundred forty-three thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 101 136 170 200 202 340 404 425 505 680 808 850 1010 1700 1717 2020 2525 3400 3434 4040 5050 6868 8585 10100 13736 17170 20200 34340 42925 68680 85850 171700 343400