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9923364 = 2233118353
BaseRepresentation
bin100101110110…
…101100100100
3200200011022000
4211312230210
510020021424
6552405300
7150230043
oct45665444
920604260
109923364
115668630
1233a6830
132095a19
14146455a
15d103c9
hex976b24

9923364 has 48 divisors (see below), whose sum is σ = 28069440. Its totient is φ = 3006720.

The previous prime is 9923341. The next prime is 9923369. The reversal of 9923364 is 4633299.

It is a happy number.

9923364 is digitally balanced in base 2, 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 9 + 95 + 211 + 314 + 314 + 67 + 47 .

It is not an unprimeable number, because it can be changed into a prime (9923369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2989 + ... + 5364.

It is an arithmetic number, because the mean of its divisors is an integer number (584780).

Almost surely, 29923364 is an apocalyptic number.

It is an amenable number.

9923364 is an abundant number, since it is smaller than the sum of its proper divisors (18146076).

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

9923364 is a wasteful number, since it uses less digits than its factorization.

9923364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8377 (or 8369 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 9923364 is about 3150.1371398719. The cubic root of 9923364 is about 214.8916995571.

It can be divided in two parts, 992 and 3364, that added together give a square (4356 = 662).

The spelling of 9923364 in words is "nine million, nine hundred twenty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 8353 16706 25059 33412 50118 75177 91883 100236 150354 183766 225531 275649 300708 367532 451062 551298 826947 902124 1102596 1653894 2480841 3307788 4961682 9923364