Search a number
-
+
930296961 = 331110131013
BaseRepresentation
bin110111011100110…
…011010010000001
32101211111222112000
4313130303102001
53401124000321
6232151254213
732024252016
oct6734632201
92354458460
10930296961
11438145970
1221b67a369
1311a973899
148b7a570d
1556a13826
hex37733481

930296961 has 32 divisors (see below), whose sum is σ = 1518445440. Its totient is φ = 558216000.

The previous prime is 930296921. The next prime is 930296977. The reversal of 930296961 is 169692039.

It is a happy number.

930296961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 930296961 - 218 = 930034817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (930296911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14491 + ... + 45503.

It is an arithmetic number, because the mean of its divisors is an integer number (47451420).

Almost surely, 2930296961 is an apocalyptic number.

It is an amenable number.

930296961 is a deficient number, since it is larger than the sum of its proper divisors (588148479).

930296961 is a wasteful number, since it uses less digits than its factorization.

930296961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31134 (or 31128 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 930296961 is about 30500.7698427433. The cubic root of 930296961 is about 976.2038903880.

The spelling of 930296961 in words is "nine hundred thirty million, two hundred ninety-six thousand, nine hundred sixty-one".

Divisors: 1 3 9 11 27 33 99 101 297 303 909 1111 2727 3333 9999 29997 31013 93039 279117 341143 837351 1023429 3070287 3132313 9210861 9396939 28190817 34455443 84572451 103366329 310098987 930296961