Search a number
-
+
304145560 = 235233111063
BaseRepresentation
bin10010001000001…
…110010010011000
3210012022012021101
4102020032102120
51110330124220
650102521144
710352123515
oct2210162230
9705265241
10304145560
11146756074
1285a361b4
134b01c9b4
142c57230c
151ba7c30a
hex1220e498

304145560 has 64 divisors (see below), whose sum is σ = 717050880. Its totient is φ = 115885440.

The previous prime is 304145509. The next prime is 304145563. The reversal of 304145560 is 65541403.

304145560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304145563) 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, 285589 + ... + 286651.

It is an arithmetic number, because the mean of its divisors is an integer number (11203920).

Almost surely, 2304145560 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 304145560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358525440).

304145560 is an abundant number, since it is smaller than the sum of its proper divisors (412905320).

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

304145560 is a wasteful number, since it uses less digits than its factorization.

304145560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 304145560 is about 17439.7694938895. The cubic root of 304145560 is about 672.5023820298.

Adding to 304145560 its reverse (65541403), we get a palindrome (369686963).

The spelling of 304145560 in words is "three hundred four million, one hundred forty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 311 460 622 920 1063 1244 1555 2126 2488 3110 4252 5315 6220 7153 8504 10630 12440 14306 21260 24449 28612 35765 42520 48898 57224 71530 97796 122245 143060 195592 244490 286120 330593 488980 661186 977960 1322372 1652965 2644744 3305930 6611860 7603639 13223720 15207278 30414556 38018195 60829112 76036390 152072780 304145560