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300164424 = 233737431123
BaseRepresentation
bin10001111001000…
…010010101001000
3202220210221011220
4101321002111020
51103320230144
645441322040
710303232640
oct2171022510
9686727156
10300164424
11144486a7a
1284636320
134a2578b1
142bc17520
151b542919
hex11e42548

300164424 has 128 divisors (see below), whose sum is σ = 902077440. Its totient is φ = 81430272.

The previous prime is 300164411. The next prime is 300164429. The reversal of 300164424 is 424461003.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 300164394 and 300164403.

It is not an unprimeable number, because it can be changed into a prime (300164429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266727 + ... + 267849.

It is an arithmetic number, because the mean of its divisors is an integer number (7047480).

Almost surely, 2300164424 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 300164424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451038720).

300164424 is an abundant number, since it is smaller than the sum of its proper divisors (601913016).

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

300164424 is a wasteful number, since it uses less digits than its factorization.

300164424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 300164424 is about 17325.2539375329. The cubic root of 300164424 is about 669.5552286825. Note that the first 3 decimals are identical.

The spelling of 300164424 in words is "three hundred million, one hundred sixty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 43 56 74 84 86 111 129 148 168 172 222 258 259 296 301 344 444 516 518 602 777 888 903 1032 1036 1123 1204 1554 1591 1806 2072 2246 2408 3108 3182 3369 3612 4492 4773 6216 6364 6738 7224 7861 8984 9546 11137 12728 13476 15722 19092 22274 23583 26952 31444 33411 38184 41551 44548 47166 48289 62888 66822 83102 89096 94332 96578 124653 133644 144867 166204 188664 193156 249306 267288 289734 290857 332408 338023 386312 498612 579468 581714 676046 872571 997224 1014069 1158936 1163428 1352092 1745142 1786693 2028138 2326856 2704184 3490284 3573386 4056276 5360079 6980568 7146772 8112552 10720158 12506851 14293544 21440316 25013702 37520553 42880632 50027404 75041106 100054808 150082212 300164424