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300468 = 2237373
BaseRepresentation
bin1001001010110110100
3120021011110
41021112310
534103333
610235020
72361000
oct1112664
9507143
10300468
11195823
12125a70
13a69bc
147b700
155e063
hex495b4

300468 has 48 divisors (see below), whose sum is σ = 828800. Its totient is φ = 84672.

The previous prime is 300463. The next prime is 300481. The reversal of 300468 is 864003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4080 + ... + 4152.

2300468 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 300468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414400).

300468 is an abundant number, since it is smaller than the sum of its proper divisors (528332).

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

300468 is a wasteful number, since it uses less digits than its factorization.

300468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 300468 is about 548.1496146127. The cubic root of 300468 is about 66.9780874358.

The spelling of 300468 in words is "three hundred thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 98 146 147 196 219 292 294 343 438 511 588 686 876 1022 1029 1372 1533 2044 2058 3066 3577 4116 6132 7154 10731 14308 21462 25039 42924 50078 75117 100156 150234 300468