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304312320 = 21232513127
BaseRepresentation
bin10010001000110…
…111000000000000
3210012121200000200
4102020313000000
51110400443240
650110245200
710353416634
oct2210670000
9705550020
10304312320
1114685a394
1285ab6800
134b07a880
142c5b6dc4
151bab1930
hex12237000

304312320 has 312 divisors, whose sum is σ = 1144905216. Its totient is φ = 74317824.

The previous prime is 304312313. The next prime is 304312331. The reversal of 304312320 is 23213403.

304312320 is a `hidden beast` number, since 3 + 0 + 431 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 304312293 and 304312302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2396097 + ... + 2396223.

It is an arithmetic number, because the mean of its divisors is an integer number (3669568).

Almost surely, 2304312320 is an apocalyptic number.

304312320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572452608).

304312320 is an abundant number, since it is smaller than the sum of its proper divisors (840592896).

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

304312320 is a wasteful number, since it uses less digits than its factorization.

304312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 304312320 is about 17444.5498652158. The cubic root of 304312320 is about 672.6252683732.

Adding to 304312320 its reverse (23213403), we get a palindrome (327525723).

The spelling of 304312320 in words is "three hundred four million, three hundred twelve thousand, three hundred twenty".