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823842324 = 223229789121
BaseRepresentation
bin110001000110101…
…101011000010100
32010102012112012200
4301012231120110
53141400423244
6213425444500
726262354444
oct6106553024
92112175180
10823842324
11393045a28
121abaa0730
131018b0186
147b5b4124
154c4d6669
hex311ad614

823842324 has 36 divisors (see below), whose sum is σ = 2154303060. Its totient is φ = 265144320.

The previous prime is 823842317. The next prime is 823842427. The reversal of 823842324 is 423248328.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 472279824 + 351562500 = 21732^2 + 18750^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393517 + ... + 395604.

Almost surely, 2823842324 is an apocalyptic number.

It is an amenable number.

823842324 is an abundant number, since it is smaller than the sum of its proper divisors (1330460736).

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

823842324 is a wasteful number, since it uses less digits than its factorization.

823842324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789160 (or 789155 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 823842324 is about 28702.6536055466. The cubic root of 823842324 is about 937.4498268615.

The spelling of 823842324 in words is "eight hundred twenty-three million, eight hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 789121 1578242 2367363 3156484 4734726 7102089 9469452 14204178 22884509 28408356 45769018 68653527 91538036 137307054 205960581 274614108 411921162 823842324