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344968 = 231331107
BaseRepresentation
bin1010100001110001000
3122112012121
41110032020
542014333
611221024
72634511
oct1241610
9575177
10344968
112161a8
12147774
13c1030
148da08
156c32d
hex54388

344968 has 32 divisors (see below), whose sum is σ = 725760. Its totient is φ = 152640.

The previous prime is 344963. The next prime is 344969. The reversal of 344968 is 869443.

It is not an unprimeable number, because it can be changed into a prime (344963) 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 7 ways as a sum of consecutive naturals, for example, 3171 + ... + 3277.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2344968 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 344968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

344968 is an abundant number, since it is smaller than the sum of its proper divisors (380792).

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

344968 is a wasteful number, since it uses less digits than its factorization.

344968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 344968 is about 587.3397653829. The cubic root of 344968 is about 70.1336223184.

The spelling of 344968 in words is "three hundred forty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 31 52 62 104 107 124 214 248 403 428 806 856 1391 1612 2782 3224 3317 5564 6634 11128 13268 26536 43121 86242 172484 344968