Search a number
-
+
303122328 = 23312630097
BaseRepresentation
bin10010000100010…
…100011110011000
3210010101012122220
4102010110132120
51110044403303
650024544040
710340332365
oct2204243630
9703335586
10303122328
11146117323
1285622020
134aa52032
142c38746c
151b929053
hex12114798

303122328 has 16 divisors (see below), whose sum is σ = 757805880. Its totient is φ = 101040768.

The previous prime is 303122321. The next prime is 303122357. The reversal of 303122328 is 823221303.

303122328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 12630097 = 303122328 / (3 + 0 + 3 + 1 + 2 + 2 + 3 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 303122298 and 303122307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303122321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6315025 + ... + 6315072.

Almost surely, 2303122328 is an apocalyptic number.

It is an amenable number.

303122328 is an abundant number, since it is smaller than the sum of its proper divisors (454683552).

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

303122328 is a wasteful number, since it uses less digits than its factorization.

303122328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12630106 (or 12630102 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 303122328 is about 17410.4086109431. The cubic root of 303122328 is about 671.7473717351.

It can be divided in two parts, 30312 and 2328, that added together give a triangular number (32640 = T255).

The spelling of 303122328 in words is "three hundred three million, one hundred twenty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 12630097 25260194 37890291 50520388 75780582 101040776 151561164 303122328