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930013441 = 717232911717
BaseRepresentation
bin110111011011101…
…110000100000001
32101210222120121021
4313123232010001
53401040412231
6232141225441
732021661310
oct6733560401
92353876537
10930013441
11437a71955
1221b562281
1311a8a4816
148b730277
15569a9811
hex376ee101

930013441 has 32 divisors (see below), whose sum is σ = 1214922240. Its totient is φ = 692837376.

The previous prime is 930013429. The next prime is 930013453. The reversal of 930013441 is 144310039.

It is a happy number.

930013441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (930013429) and next prime (930013453).

It is not a de Polignac number, because 930013441 - 211 = 930011393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (930013741) 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, 73515 + ... + 85231.

It is an arithmetic number, because the mean of its divisors is an integer number (37966320).

Almost surely, 2930013441 is an apocalyptic number.

It is an amenable number.

930013441 is a deficient number, since it is larger than the sum of its proper divisors (284908799).

930013441 is a wasteful number, since it uses less digits than its factorization.

930013441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11793.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 930013441 is about 30496.1217370340. The cubic root of 930013441 is about 976.1047100689.

The spelling of 930013441 in words is "nine hundred thirty million, thirteen thousand, four hundred forty-one".

Divisors: 1 7 17 23 29 119 161 203 391 493 667 2737 3451 4669 11339 11717 79373 82019 199189 269491 339793 1394323 1886437 2378551 4581347 5776481 7815239 32069429 40435367 54706673 132859063 930013441