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423012432 = 243109233347
BaseRepresentation
bin11001001101101…
…010100001010000
31002110222020222010
4121031222201100
51331242344212
6105550342520
713324355253
oct3115524120
91073866863
10423012432
111a7863557
12b97baa40
136983ac1b
144027509a
152720c03c
hex1936a850

423012432 has 80 divisors (see below), whose sum is σ = 1110732480. Its totient is φ = 138710016.

The previous prime is 423012431. The next prime is 423012439. The reversal of 423012432 is 234210324.

It is a junction number, because it is equal to n+sod(n) for n = 423012399 and 423012408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423012431) 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, 1218883 + ... + 1219229.

It is an arithmetic number, because the mean of its divisors is an integer number (13884156).

Almost surely, 2423012432 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 423012432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555366240).

423012432 is an abundant number, since it is smaller than the sum of its proper divisors (687720048).

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

423012432 is a wasteful number, since it uses less digits than its factorization.

423012432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 423012432 is about 20567.2660312449. The cubic root of 423012432 is about 750.6734289214.

Adding to 423012432 its reverse (234210324), we get a palindrome (657222756).

The spelling of 423012432 in words is "four hundred twenty-three million, twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 233 327 347 436 466 654 694 699 872 932 1041 1308 1388 1398 1744 1864 2082 2616 2776 2796 3728 4164 5232 5552 5592 8328 11184 16656 25397 37823 50794 75646 76191 80851 101588 113469 151292 152382 161702 203176 226938 242553 302584 304764 323404 406352 453876 485106 605168 609528 646808 907752 970212 1219056 1293616 1815504 1940424 3880848 8812759 17625518 26438277 35251036 52876554 70502072 105753108 141004144 211506216 423012432