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423314432 = 2101014093
BaseRepresentation
bin11001001110110…
…100010000000000
31002111112121020022
4121032310100000
51331332030212
6110001033012
713330053602
oct3116642000
91074477208
10423314432
111a7a4a442
12b9925768
1369915518
1440313172
152726b772
hex193b4400

423314432 has 44 divisors (see below), whose sum is σ = 854802636. Its totient is φ = 209510400.

The previous prime is 423314429. The next prime is 423314449. The reversal of 423314432 is 234413324.

It can be written as a sum of positive squares in 2 ways, for example, as 313148416 + 110166016 = 17696^2 + 10496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101378 + ... + 105470.

Almost surely, 2423314432 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 423314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427401318).

423314432 is an abundant number, since it is smaller than the sum of its proper divisors (431488204).

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

423314432 is a wasteful number, since it uses less digits than its factorization.

423314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4196 counting only the distinct ones).

The product of its digits is 6912, while the sum is 26.

The square root of 423314432 is about 20574.6064846937. The cubic root of 423314432 is about 750.8520284376.

Adding to 423314432 its reverse (234413324), we get a palindrome (657727756).

The spelling of 423314432 in words is "four hundred twenty-three million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1024 1616 3232 4093 6464 8186 12928 16372 25856 32744 51712 65488 103424 130976 261952 413393 523904 826786 1047808 1653572 2095616 3307144 4191232 6614288 13228576 26457152 52914304 105828608 211657216 423314432