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423332032 = 263126883
BaseRepresentation
bin11001001110111…
…000100011000000
31002111120111101011
4121032320203000
51331333111112
6110001250304
713330156114
oct3116704300
91074514334
10423332032
111a7a61692
12b9933994
1369920536
1440319744
1527271aa7
hex193b88c0

423332032 has 42 divisors (see below), whose sum is σ = 868148124. Its totient is φ = 204808320.

The previous prime is 423331999. The next prime is 423332051. The reversal of 423332032 is 230233324.

It is a junction number, because it is equal to n+sod(n) for n = 423331994 and 423332012.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58063 + ... + 64945.

Almost surely, 2423332032 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 423332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434074062).

423332032 is an abundant number, since it is smaller than the sum of its proper divisors (444816092).

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

423332032 is an equidigital number, since it uses as much as digits as its factorization.

423332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6957 (or 6916 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 423332032 is about 20575.0341919521. The cubic root of 423332032 is about 750.8624342664.

Adding to 423332032 its reverse (230233324), we get a palindrome (653565356).

The spelling of 423332032 in words is "four hundred twenty-three million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1922 1984 3844 6883 7688 13766 15376 27532 30752 55064 61504 110128 213373 220256 426746 440512 853492 1706984 3413968 6614563 6827936 13229126 13655872 26458252 52916504 105833008 211666016 423332032