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973668033 = 3413924661
BaseRepresentation
bin111010000010001…
…111111011000001
32111212010110110000
4322002033323001
53443224334113
6240341030213
733062020212
oct7202177301
92455113400
10973668033
1145a679228
122320b5369
1312694a940
1493455409
155a72e373
hex3a08fec1

973668033 has 20 divisors (see below), whose sum is σ = 1566377428. Its totient is φ = 599179680.

The previous prime is 973668023. The next prime is 973668037. The reversal of 973668033 is 330866379.

It is a happy number.

973668033 is digitally balanced in base 2, 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 179104689 + 794563344 = 13383^2 + 28188^2 .

It is not a de Polignac number, because 973668033 - 25 = 973668001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 973668033.

It is not an unprimeable number, because it can be changed into a prime (973668037) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 461278 + ... + 463383.

Almost surely, 2973668033 is an apocalyptic number.

It is an amenable number.

973668033 is a deficient number, since it is larger than the sum of its proper divisors (592709395).

973668033 is a wasteful number, since it uses less digits than its factorization.

973668033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924686 (or 924677 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 973668033 is about 31203.6541610113. The cubic root of 973668033 is about 991.1444890762.

The spelling of 973668033 in words is "nine hundred seventy-three million, six hundred sixty-eight thousand, thirty-three".

Divisors: 1 3 9 13 27 39 81 117 351 1053 924661 2773983 8321949 12020593 24965847 36061779 74897541 108185337 324556011 973668033