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422834432 = 286127077
BaseRepresentation
bin11001001100111…
…111000100000000
31002110122012210112
4121030333010000
51331221200212
6105542450452
713323014306
oct3114770400
91073565715
10422834432
111a7751849
12b9733a28
13697a7bb7
144022a276
15271c4422
hex1933f100

422834432 has 36 divisors (see below), whose sum is σ = 857885196. Its totient is φ = 207943680.

The previous prime is 422834431. The next prime is 422834479. The reversal of 422834432 is 234438224.

It can be written as a sum of positive squares in 2 ways, for example, as 162205696 + 260628736 = 12736^2 + 16144^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (422834431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2078 + ... + 29154.

Almost surely, 2422834432 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 422834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428942598).

422834432 is an abundant number, since it is smaller than the sum of its proper divisors (435050764).

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

422834432 is an equidigital number, since it uses as much as digits as its factorization.

422834432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27154 (or 27140 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 422834432 is about 20562.9383114379. The cubic root of 422834432 is about 750.5681218377.

The spelling of 422834432 in words is "four hundred twenty-two million, eight hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1952 3904 7808 15616 27077 54154 108308 216616 433232 866464 1651697 1732928 3303394 3465856 6606788 6931712 13213576 26427152 52854304 105708608 211417216 422834432