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304450224 = 243131925679
BaseRepresentation
bin10010001001011…
…000101010110000
3210012212200012020
4102021120222300
51110414401344
650113231440
710354532661
oct2211305260
9705780166
10304450224
11146943a61
1285b62580
134b0c8580
142c611368
151badc719
hex12258ab0

304450224 has 80 divisors (see below), whose sum is σ = 891609600. Its totient is φ = 88743168.

The previous prime is 304450219. The next prime is 304450249. The reversal of 304450224 is 422054403.

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 = 304450194 and 304450203.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 984 + ... + 24695.

It is an arithmetic number, because the mean of its divisors is an integer number (11145120).

Almost surely, 2304450224 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 304450224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445804800).

304450224 is an abundant number, since it is smaller than the sum of its proper divisors (587159376).

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

304450224 is a wasteful number, since it uses less digits than its factorization.

304450224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25722 (or 25716 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 304450224 is about 17448.5020560505. The cubic root of 304450224 is about 672.7268566657.

The spelling of 304450224 in words is "three hundred four million, four hundred fifty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 25679 51358 77037 102716 154074 205432 308148 333827 410864 487901 616296 667654 975802 1001481 1232592 1335308 1463703 1951604 2002962 2670616 2927406 3903208 4005924 5341232 5854812 6342713 7806416 8011848 11709624 12685426 16023696 19028139 23419248 25370852 38056278 50741704 76112556 101483408 152225112 304450224