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299440 = 24519197
BaseRepresentation
bin1001001000110110000
3120012202101
41021012300
534040230
610230144
72355001
oct1110660
9505671
10299440
11194a79
12125354
13a63ab
147b1a8
155daca
hex491b0

299440 has 40 divisors (see below), whose sum is σ = 736560. Its totient is φ = 112896.

The previous prime is 299419. The next prime is 299447. The reversal of 299440 is 44992.

299440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 299399 and 299408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299447) 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, 1422 + ... + 1618.

It is an arithmetic number, because the mean of its divisors is an integer number (18414).

2299440 is an apocalyptic number.

299440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 299440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368280).

299440 is an abundant number, since it is smaller than the sum of its proper divisors (437120).

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

299440 is a wasteful number, since it uses less digits than its factorization.

299440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 299440 is about 547.2111109983. The cubic root of 299440 is about 66.9016154577.

The spelling of 299440 in words is "two hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 197 304 380 394 760 788 985 1520 1576 1970 3152 3743 3940 7486 7880 14972 15760 18715 29944 37430 59888 74860 149720 299440