Search a number
-
+
305341290 = 232529116989
BaseRepresentation
bin10010001100110…
…010001101101010
3210021112221111200
4102030302031222
51111131410130
650144305030
710365233562
oct2214621552
9707487450
10305341290
111473a2481
1286312176
134b34b027
142c7a3da2
151bc16760
hex1233236a

305341290 has 48 divisors (see below), whose sum is σ = 821269800. Its totient is φ = 78615936.

The previous prime is 305341277. The next prime is 305341291. The reversal of 305341290 is 92143503.

305341290 is a `hidden beast` number, since 3 + 0 + 534 + 129 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 303700329 + 1640961 = 17427^2 + 1281^2 .

It is not an unprimeable number, because it can be changed into a prime (305341291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55885 + ... + 61104.

Almost surely, 2305341290 is an apocalyptic number.

305341290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

305341290 is an abundant number, since it is smaller than the sum of its proper divisors (515928510).

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

305341290 is a wasteful number, since it uses less digits than its factorization.

305341290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117031 (or 117028 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 305341290 is about 17474.0175689508. The cubic root of 305341290 is about 673.3825305251.

Adding to 305341290 its reverse (92143503), we get a palindrome (397484793).

The spelling of 305341290 in words is "three hundred five million, three hundred forty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 116989 233978 350967 584945 701934 1052901 1169890 1754835 2105802 3392681 3509670 5264505 6785362 10178043 10529010 16963405 20356086 30534129 33926810 50890215 61068258 101780430 152670645 305341290