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344608 = 2511289
BaseRepresentation
bin1010100001000100000
3122111201021
41110020200
542011413
611215224
72633455
oct1241040
9574637
10344608
11215a00
12147514
13c0b14
148d82c
156c18d
hex54220

344608 has 36 divisors (see below), whose sum is σ = 754110. Its totient is φ = 154880.

The previous prime is 344599. The next prime is 344611. The reversal of 344608 is 806443.

It can be written as a sum of positive squares in only one way, i.e., 327184 + 17424 = 572^2 + 132^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

344608 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3828 + ... + 3916.

2344608 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 344608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377055).

344608 is an abundant number, since it is smaller than the sum of its proper divisors (409502).

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

344608 is a wasteful number, since it uses less digits than its factorization.

344608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 344608 is about 587.0332188216. The cubic root of 344608 is about 70.1092172606.

The spelling of 344608 in words is "three hundred forty-four thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 89 121 176 178 242 352 356 484 712 968 979 1424 1936 1958 2848 3872 3916 7832 10769 15664 21538 31328 43076 86152 172304 344608