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299268 = 223317163
BaseRepresentation
bin1001001000100000100
3120012112000
41021010010
534034033
610225300
72354334
oct1110404
9505460
10299268
11194932
12125230
13a62a8
147b0c4
155da13
hex49104

299268 has 48 divisors (see below), whose sum is σ = 826560. Its totient is φ = 93312.

The previous prime is 299261. The next prime is 299281. The reversal of 299268 is 862992.

It is a super-2 number, since 2×2992682 = 179122671648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299261) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1755 + ... + 1917.

It is an arithmetic number, because the mean of its divisors is an integer number (17220).

2299268 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 299268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413280).

299268 is an abundant number, since it is smaller than the sum of its proper divisors (527292).

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

299268 is a wasteful number, since it uses less digits than its factorization.

299268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 299268 is about 547.0539278718. The cubic root of 299268 is about 66.8888034511. Note that the first 4 decimals are identical.

The spelling of 299268 in words is "two hundred ninety-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 163 204 306 326 459 489 612 652 918 978 1467 1836 1956 2771 2934 4401 5542 5868 8313 8802 11084 16626 17604 24939 33252 49878 74817 99756 149634 299268