Search a number
-
+
303250048 = 2713717293
BaseRepresentation
bin10010000100110…
…011101010000000
3210010121200212021
4102010303222000
51110113000143
650031411224
710341403633
oct2204635200
9703550767
10303250048
111461a4282
1285683b14
134aa981ca
142c3bbc1a
151b951ced
hex12133a80

303250048 has 32 divisors (see below), whose sum is σ = 608575860. Its totient is φ = 150509568.

The previous prime is 303250043. The next prime is 303250067. The reversal of 303250048 is 840052303.

303250048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 285204544 + 18045504 = 16888^2 + 4248^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3032500482 = 183921183224004608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (303250043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8890 + ... + 26182.

Almost surely, 2303250048 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 303250048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304287930).

303250048 is an abundant number, since it is smaller than the sum of its proper divisors (305325812).

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

303250048 is a wasteful number, since it uses less digits than its factorization.

303250048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17444 (or 17432 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 303250048 is about 17414.0761454635. The cubic root of 303250048 is about 671.8417049677.

The spelling of 303250048 in words is "three hundred three million, two hundred fifty thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 128 137 274 548 1096 2192 4384 8768 17293 17536 34586 69172 138344 276688 553376 1106752 2213504 2369141 4738282 9476564 18953128 37906256 75812512 151625024 303250048