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420144432 = 24340921401
BaseRepresentation
bin11001000010101…
…110010100110000
31002021120112210220
4121002232110300
51330024110212
6105405053040
713261111611
oct3102562460
91067515726
10420144432
111a6184804
12b8857180
1369075696
143db29c08
1526d4238c
hex190ae530

420144432 has 40 divisors (see below), whose sum is σ = 1088077680. Its totient is φ = 139699200.

The previous prime is 420144407. The next prime is 420144433. The reversal of 420144432 is 234441024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (420144433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8932 + ... + 30332.

It is an arithmetic number, because the mean of its divisors is an integer number (27201942).

Almost surely, 2420144432 is an apocalyptic number.

It is an amenable number.

420144432 is an abundant number, since it is smaller than the sum of its proper divisors (667933248).

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

420144432 is a wasteful number, since it uses less digits than its factorization.

420144432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21821 (or 21815 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 420144432 is about 20497.4250090103. The cubic root of 420144432 is about 748.9730727579.

Adding to 420144432 its reverse (234441024), we get a palindrome (654585456).

The spelling of 420144432 in words is "four hundred twenty million, one hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 409 818 1227 1636 2454 3272 4908 6544 9816 19632 21401 42802 64203 85604 128406 171208 256812 342416 513624 1027248 8753009 17506018 26259027 35012036 52518054 70024072 105036108 140048144 210072216 420144432