Search a number
-
+
304834350 = 23522717499
BaseRepresentation
bin10010001010110…
…110011100101110
3210020121012010010
4102022312130232
51111014144400
650125354050
710361022612
oct2212663456
9706535103
10304834350
11147086617
1286108926
134b201372
142c6b1342
151bb66450
hex122b672e

304834350 has 48 divisors (see below), whose sum is σ = 758880000. Its totient is φ = 80978400.

The previous prime is 304834319. The next prime is 304834357. The reversal of 304834350 is 53438403.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304834357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36901 + ... + 44399.

It is an arithmetic number, because the mean of its divisors is an integer number (15810000).

Almost surely, 2304834350 is an apocalyptic number.

304834350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 304834350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379440000).

304834350 is an abundant number, since it is smaller than the sum of its proper divisors (454045650).

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

304834350 is a wasteful number, since it uses less digits than its factorization.

304834350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7785 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 304834350 is about 17459.5060067575. The cubic root of 304834350 is about 673.0096650994.

The spelling of 304834350 in words is "three hundred four million, eight hundred thirty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 271 542 813 1355 1626 2710 4065 6775 7499 8130 13550 14998 20325 22497 37495 40650 44994 74990 112485 187475 224970 374950 562425 1124850 2032229 4064458 6096687 10161145 12193374 20322290 30483435 50805725 60966870 101611450 152417175 304834350