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344344 = 237111343
BaseRepresentation
bin1010100000100011000
3122111100111
41110010120
542004334
611214104
72632630
oct1240430
9574314
10344344
11215790
12147334
13c0970
148d6c0
156c064
hex54118

344344 has 64 divisors (see below), whose sum is σ = 887040. Its totient is φ = 120960.

The previous prime is 344327. The next prime is 344347. The reversal of 344344 is 443443.

It is a happy number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344347) by changing a digit.

344344 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, 7987 + ... + 8029.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

2344344 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 344344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

344344 is an abundant number, since it is smaller than the sum of its proper divisors (542696).

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

344344 is a wasteful number, since it uses less digits than its factorization.

344344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 76 counting only the distinct ones).

The product of its digits is 2304, while the sum is 22.

The square root of 344344 is about 586.8083162328. The cubic root of 344344 is about 70.0913094138.

Adding to 344344 its reverse (443443), we get a palindrome (787787).

Subtracting 344344 from its reverse (443443), we obtain a palindrome (99099).

It can be divided in two parts, 34 and 4344, that multiplied together give a triangular number (147696 = T543).

The spelling of 344344 in words is "three hundred forty-four thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 7 8 11 13 14 22 26 28 43 44 52 56 77 86 88 91 104 143 154 172 182 286 301 308 344 364 473 559 572 602 616 728 946 1001 1118 1144 1204 1892 2002 2236 2408 3311 3784 3913 4004 4472 6149 6622 7826 8008 12298 13244 15652 24596 26488 31304 43043 49192 86086 172172 344344