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300031424 = 26711107569
BaseRepresentation
bin10001111000100…
…001110111000000
3202220120011201222
4101320201313000
51103302001144
645434414212
710302140120
oct2170416700
9686504658
10300031424
111443a6060
1284591368
134a20c1b4
142bbc0c80
151b5182ee
hex11e21dc0

300031424 has 112 divisors (see below), whose sum is σ = 750539520. Its totient is φ = 115599360.

The previous prime is 300031397. The next prime is 300031429. The reversal of 300031424 is 424130003.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300031429) 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, 527012 + ... + 527580.

Almost surely, 2300031424 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 300031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375269760).

300031424 is an abundant number, since it is smaller than the sum of its proper divisors (450508096).

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

300031424 is a wasteful number, since it uses less digits than its factorization.

300031424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 300031424 is about 17321.4151846782. The cubic root of 300031424 is about 669.4563228895.

Adding to 300031424 its reverse (424130003), we get a palindrome (724161427).

The spelling of 300031424 in words is "three hundred million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 107 112 154 176 214 224 308 352 428 448 569 616 704 749 856 1138 1177 1232 1498 1712 2276 2354 2464 2996 3424 3983 4552 4708 4928 5992 6259 6848 7966 8239 9104 9416 11984 12518 15932 16478 18208 18832 23968 25036 31864 32956 36416 37664 43813 47936 50072 60883 63728 65912 75328 87626 100144 121766 127456 131824 175252 200288 243532 254912 263648 350504 400576 426181 487064 527296 669713 701008 852362 974128 1339426 1402016 1704724 1948256 2678852 2804032 3409448 3896512 4687991 5357704 6818896 9375982 10715408 13637792 18751964 21430816 27275584 37503928 42861632 75007856 150015712 300031424