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344064 = 21437
BaseRepresentation
bin1010100000000000000
3122110222010
41110000000
542002224
611212520
72632050
oct1240000
9573863
10344064
11215556
12147140
13c07b6
148d560
156be29
hex54000

344064 has 60 divisors (see below), whose sum is σ = 1048544. Its totient is φ = 98304.

The previous prime is 344053. The next prime is 344083. The reversal of 344064 is 460443.

Multipling 344064 by its sum of digits (21), we get a square (7225344 = 26882).

344064 divided by its sum of digits (21) gives a 14-th power (16384 = 214).

344064 = T272 + T273 + ... + T280.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 344064.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 344064.

It is an unprimeable number.

344064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49149 + ... + 49155.

2344064 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 344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524272).

344064 is an abundant number, since it is smaller than the sum of its proper divisors (704480).

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

344064 is an frugal number, since it uses more digits than its factorization.

344064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 344064 is about 586.5696889543. The cubic root of 344064 is about 70.0723062382.

The spelling of 344064 in words is "three hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 16384 21504 24576 28672 43008 49152 57344 86016 114688 172032 344064