Search a number
-
+
305343104 = 2711229947
BaseRepresentation
bin10010001100110…
…010101010000000
3210021120000222212
4102030302222000
51111131434404
650144321252
710365242063
oct2214625200
9707500885
10305343104
111473a3880
1286313228
134b34bac1
142c7a48da
151bc1706e
hex12332a80

305343104 has 64 divisors (see below), whose sum is σ = 667202400. Its totient is φ = 138040320.

The previous prime is 305343079. The next prime is 305343163. The reversal of 305343104 is 401343503.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3053431042 = 186468822320709632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 305343104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321959 + ... + 322905.

Almost surely, 2305343104 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 305343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333601200).

305343104 is an abundant number, since it is smaller than the sum of its proper divisors (361859296).

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

305343104 is a wasteful number, since it uses less digits than its factorization.

305343104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 305343104 is about 17474.0694745099. The cubic root of 305343104 is about 673.3838640203.

Adding to 305343104 its reverse (401343503), we get a palindrome (706686607).

The spelling of 305343104 in words is "three hundred five million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 229 352 458 704 916 947 1408 1832 1894 2519 3664 3788 5038 7328 7576 10076 10417 14656 15152 20152 20834 29312 30304 40304 41668 60608 80608 83336 121216 161216 166672 216863 322432 333344 433726 666688 867452 1333376 1734904 2385493 3469808 4770986 6939616 9541972 13879232 19083944 27758464 38167888 76335776 152671552 305343104