Search a number
-
+
304767540 = 2232571121999
BaseRepresentation
bin10010001010100…
…110001000110100
3210020110210110200
4102022212020310
51111010030130
650124120500
710360324050
oct2212461064
9706423420
10304767540
11147040400
1286096130
134b1a9b2c
142c694c60
151bb51760
hex122a6234

304767540 has 216 divisors, whose sum is σ = 1161888000. Its totient is φ = 63296640.

The previous prime is 304767539. The next prime is 304767569. The reversal of 304767540 is 45767403.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 304767495 and 304767504.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 151461 + ... + 153459.

Almost surely, 2304767540 is an apocalyptic number.

304767540 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 304767540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580944000).

304767540 is an abundant number, since it is smaller than the sum of its proper divisors (857120460).

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

304767540 is a wasteful number, since it uses less digits than its factorization.

304767540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 304767540 is about 17457.5926175404. The cubic root of 304767540 is about 672.9604940649.

The spelling of 304767540 in words is "three hundred four million, seven hundred sixty-seven thousand, five hundred forty".