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423040032 = 25321468889
BaseRepresentation
bin11001001101110…
…001010000100000
31002111000122211100
4121031301100200
51331244240112
6105551114400
713324531602
oct3115612040
91074018740
10423040032
111a7882268
12b9812a00
136984a65c
1440281172
15272152dc
hex19371420

423040032 has 36 divisors (see below), whose sum is σ = 1203020910. Its totient is φ = 141013248.

The previous prime is 423040031. The next prime is 423040067. The reversal of 423040032 is 230040324.

423040032 is a `hidden beast` number, since 4 + 230 + 400 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 409819536 + 13220496 = 20244^2 + 3636^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4230400322 = 357925737349122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 423039987 and 423040014.

It is not an unprimeable number, because it can be changed into a prime (423040031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 734157 + ... + 734732.

Almost surely, 2423040032 is an apocalyptic number.

It is an amenable number.

423040032 is an abundant number, since it is smaller than the sum of its proper divisors (779980878).

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

423040032 is a wasteful number, since it uses less digits than its factorization.

423040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468905 (or 1468894 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 423040032 is about 20567.9369894017. The cubic root of 423040032 is about 750.6897547900.

Adding to 423040032 its reverse (230040324), we get a palindrome (653080356).

The spelling of 423040032 in words is "four hundred twenty-three million, forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1468889 2937778 4406667 5875556 8813334 11751112 13220001 17626668 23502224 26440002 35253336 47004448 52880004 70506672 105760008 141013344 211520016 423040032