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34224440103 = 32717291101917
BaseRepresentation
bin11111110111111011…
…111000001100100111
310021100011022200202200
4133313323320030213
51030042424040403
623420020305543
72321053640520
oct376773701447
9107304280680
1034224440103
1113572893447
1267718422b3
1332c564a1b9
141929503847
15d54934ca3
hex7f7ef8327

34224440103 has 48 divisors (see below), whose sum is σ = 61883714880. Its totient is φ = 17771701248.

The previous prime is 34224440093. The next prime is 34224440111. The reversal of 34224440103 is 30104442243.

It is a happy number.

34224440103 is a `hidden beast` number, since 34 + 224 + 4 + 401 + 0 + 3 = 666.

It is not a de Polignac number, because 34224440103 - 26 = 34224440039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34224440123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519900 + ... + 582017.

It is an arithmetic number, because the mean of its divisors is an integer number (1289244060).

Almost surely, 234224440103 is an apocalyptic number.

34224440103 is a deficient number, since it is larger than the sum of its proper divisors (27659274777).

34224440103 is a wasteful number, since it uses less digits than its factorization.

34224440103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101976 (or 1101973 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34224440103 its reverse (30104442243), we get a palindrome (64328882346).

The spelling of 34224440103 in words is "thirty-four billion, two hundred twenty-four million, four hundred forty thousand, one hundred three".

Divisors: 1 3 7 9 17 21 29 51 63 87 119 153 203 261 357 493 609 1071 1479 1827 3451 4437 10353 31059 1101917 3305751 7713419 9917253 18732589 23140257 31955593 56197767 69420771 95866779 131128123 168593301 223689151 287600337 393384369 543245081 671067453 1180153107 1629735243 2013202359 3802715567 4889205729 11408146701 34224440103