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244444240 = 24510130253
BaseRepresentation
bin11101001000111…
…10110001010000
3122000222001110101
432210132301100
51000034203430
640131142144
76025512265
oct1644366120
9560861411
10244444240
11115a89637
1269a44954
133b848981
142467126c
15166d7dca
hexe91ec50

244444240 has 40 divisors (see below), whose sum is σ = 573978888. Its totient is φ = 96806400.

The previous prime is 244444231. The next prime is 244444259. The reversal of 244444240 is 42444442.

It can be written as a sum of positive squares in 4 ways, for example, as 150896656 + 93547584 = 12284^2 + 9672^2 .

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

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 244444199 and 244444208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7047 + ... + 23206.

Almost surely, 2244444240 is an apocalyptic number.

244444240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244444240 is an abundant number, since it is smaller than the sum of its proper divisors (329534648).

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

244444240 is a wasteful number, since it uses less digits than its factorization.

244444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30367 (or 30361 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 244444240 is about 15634.7126612548. The cubic root of 244444240 is about 625.2589774742.

Adding to 244444240 its reverse (42444442), we get a palindrome (286888682).

The spelling of 244444240 in words is "two hundred forty-four million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 30253 60506 121012 151265 242024 302530 484048 605060 1210120 2420240 3055553 6111106 12222212 15277765 24444424 30555530 48888848 61111060 122222120 244444240