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623327432 = 2372132972
BaseRepresentation
bin100101001001110…
…011100011001000
31121102220022111012
4211021303203020
52234032434212
6141504023052
721306124100
oct4511634310
91542808435
10623327432
1129a941142
12154901a88
139c1a5700
145cada200
1539ac9922
hex252738c8

623327432 has 108 divisors (see below), whose sum is σ = 1487512755. Its totient is φ = 244048896.

The previous prime is 623327413. The next prime is 623327437. The reversal of 623327432 is 234723326.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 70795396 + 552532036 = 8414^2 + 23506^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=17654.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (623327437) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 6426008 + ... + 6426104.

Almost surely, 2623327432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 623327432

623327432 is an abundant number, since it is smaller than the sum of its proper divisors (864185323).

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

623327432 is a wasteful number, since it uses less digits than its factorization.

623327432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 119 counting only the distinct ones).

The product of its digits is 36288, while the sum is 32.

The square root of 623327432 is about 24966.5262301346. The cubic root of 623327432 is about 854.2246117068.

Multiplying 623327432 by its sum of digits (32), we get a square (19946477824 = 1412322).

The spelling of 623327432 in words is "six hundred twenty-three million, three hundred twenty-seven thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 97 98 104 169 182 194 196 338 364 388 392 637 676 679 728 776 1183 1261 1274 1352 1358 2366 2522 2548 2716 4732 4753 5044 5096 5432 8281 8827 9409 9464 9506 10088 16393 16562 17654 18818 19012 32786 33124 35308 37636 38024 61789 65572 65863 66248 70616 75272 114751 122317 123578 131144 131726 229502 244634 247156 263452 459004 461041 489268 494312 526904 803257 856219 918008 922082 978536 1590121 1606514 1712438 1844164 3180242 3213028 3424876 3688328 5993533 6360484 6426056 6849752 11130847 11987066 12720968 22261694 23974132 44523388 47948264 77915929 89046776 155831858 311663716 623327432