Search a number
-
+
304149720 = 233571719259
BaseRepresentation
bin10010001000001…
…111010011011000
3210012022101222110
4102020033103120
51110330242340
650102552320
710352141610
oct2210172330
9705271873
10304149720
11146759206
1285a386a0
134b021864
142c573a40
151ba7d680
hex1220f4d8

304149720 has 384 divisors, whose sum is σ = 1185062400. Its totient is φ = 60936192.

The previous prime is 304149719. The next prime is 304149733. The reversal of 304149720 is 27941403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5155051 + ... + 5155109.

It is an arithmetic number, because the mean of its divisors is an integer number (3086100).

Almost surely, 2304149720 is an apocalyptic number.

304149720 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 304149720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592531200).

304149720 is an abundant number, since it is smaller than the sum of its proper divisors (880912680).

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

304149720 is a wasteful number, since it uses less digits than its factorization.

304149720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 304149720 is about 17439.8887611131. Note that the first 3 decimals coincide. The cubic root of 304149720 is about 672.5054481024.

The spelling of 304149720 in words is "three hundred four million, one hundred forty-nine thousand, seven hundred twenty".