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346434 = 231129181
BaseRepresentation
bin1010100100101000010
3122121012220
41110211002
542041214
611231510
72642004
oct1244502
9577186
10346434
11217310
12148596
13c18ba
1490374
156c9a9
hex54942

346434 has 32 divisors (see below), whose sum is σ = 786240. Its totient is φ = 100800.

The previous prime is 346433. The next prime is 346439. The reversal of 346434 is 434643.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 346434.

It is not an unprimeable number, because it can be changed into a prime (346433) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1824 + ... + 2004.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2346434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120).

346434 is an abundant number, since it is smaller than the sum of its proper divisors (439806).

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

346434 is a wasteful number, since it uses less digits than its factorization.

346434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226.

The product of its digits is 3456, while the sum is 24.

The square root of 346434 is about 588.5864422496. The cubic root of 346434 is about 70.2328301567.

Subtracting 346434 from its reverse (434643), we obtain a square (88209 = 2972).

It can be divided in two parts, 346 and 434, that added together give a triangular number (780 = T39).

The spelling of 346434 in words is "three hundred forty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 181 319 362 543 638 957 1086 1914 1991 3982 5249 5973 10498 11946 15747 31494 57739 115478 173217 346434