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304214424 = 233411013061
BaseRepresentation
bin10010001000011…
…111000110011000
3210012102200201220
4102020133012120
51110334330144
650104212040
710352531343
oct2210370630
9705380656
10304214424
111467a2888
1285a6a020
134b045147
142c58d45a
151ba92919
hex1221f198

304214424 has 64 divisors (see below), whose sum is σ = 787056480. Its totient is φ = 97920000.

The previous prime is 304214423. The next prime is 304214429. The reversal of 304214424 is 424412403.

It is a happy number.

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 = 304214394 and 304214403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304214423) 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, 97854 + ... + 100914.

Almost surely, 2304214424 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 304214424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393528240).

304214424 is an abundant number, since it is smaller than the sum of its proper divisors (482842056).

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

304214424 is a wasteful number, since it uses less digits than its factorization.

304214424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 304214424 is about 17441.7437201674. The cubic root of 304214424 is about 672.5531337260.

Adding to 304214424 its reverse (424412403), we get a palindrome (728626827).

The spelling of 304214424 in words is "three hundred four million, two hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 101 123 164 202 246 303 328 404 492 606 808 984 1212 2424 3061 4141 6122 8282 9183 12244 12423 16564 18366 24488 24846 33128 36732 49692 73464 99384 125501 251002 309161 376503 502004 618322 753006 927483 1004008 1236644 1506012 1854966 2473288 3012024 3709932 7419864 12675601 25351202 38026803 50702404 76053606 101404808 152107212 304214424