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344034 = 23323277
BaseRepresentation
bin1010011111111100010
3122110221000
41103333202
542002114
611212430
72632005
oct1237742
9573830
10344034
11215529
12147116
13c0792
148d53c
156be09
hex53fe2

344034 has 32 divisors (see below), whose sum is σ = 800640. Its totient is φ = 109296.

The previous prime is 344021. The next prime is 344039. The reversal of 344034 is 430443.

344034 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 343998 and 344016.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 344034.

It is not an unprimeable number, because it can be changed into a prime (344039) by changing a digit.

344034 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 15 ways as a sum of consecutive naturals, for example, 1104 + ... + 1380.

It is an arithmetic number, because the mean of its divisors is an integer number (25020).

2344034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400320).

344034 is an abundant number, since it is smaller than the sum of its proper divisors (456606).

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

344034 is a wasteful number, since it uses less digits than its factorization.

344034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 344034 is about 586.5441159879. The cubic root of 344034 is about 70.0702695723.

Adding to 344034 its reverse (430443), we get a palindrome (774477).

The spelling of 344034 in words is "three hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 277 414 554 621 831 1242 1662 2493 4986 6371 7479 12742 14958 19113 38226 57339 114678 172017 344034