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440420240 = 24513423481
BaseRepresentation
bin11010010000000…
…100011110010000
31010200201122222202
4122100010132100
51400221421430
6111411422332
713625340011
oct3220043620
91120648882
10440420240
11206673277
121035b49a8
13703244c0
14426c7008
15289e9d45
hex1a404790

440420240 has 40 divisors (see below), whose sum is σ = 1102747128. Its totient is φ = 162616320.

The previous prime is 440420231. The next prime is 440420251. The reversal of 440420240 is 42024044.

It can be written as a sum of positive squares in 4 ways, for example, as 19678096 + 420742144 = 4436^2 + 20512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210701 + ... + 212780.

Almost surely, 2440420240 is an apocalyptic number.

440420240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440420240 is an abundant number, since it is smaller than the sum of its proper divisors (662326888).

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

440420240 is a wasteful number, since it uses less digits than its factorization.

440420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423507 (or 423501 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 440420240 is about 20986.1916507021. The cubic root of 440420240 is about 760.8325594581.

Adding to 440420240 its reverse (42024044), we get a palindrome (482444284).

The spelling of 440420240 in words is "four hundred forty million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 423481 846962 1693924 2117405 3387848 4234810 5505253 6775696 8469620 11010506 16939240 22021012 27526265 33878480 44042024 55052530 88084048 110105060 220210120 440420240