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244949040 = 243257253131
BaseRepresentation
bin11101001100110…
…10000000110000
3122001220200220200
432212122000300
51000201332130
640150035200
76033014100
oct1646320060
9561820820
10244949040
111162a3926
126a048b00
133b99467b
1424763200
1516787760
hexe99a030

244949040 has 360 divisors, whose sum is σ = 982423728. Its totient is φ = 54512640.

The previous prime is 244949017. The next prime is 244949063. The reversal of 244949040 is 40949442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (244949017) and next prime (244949063).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 244948986 and 244949004.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1869775 + ... + 1869905.

Almost surely, 2244949040 is an apocalyptic number.

244949040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244949040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491211864).

244949040 is an abundant number, since it is smaller than the sum of its proper divisors (737474688).

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

244949040 is a wasteful number, since it uses less digits than its factorization.

244949040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 244949040 is about 15650.8479003535. The cubic root of 244949040 is about 625.6890874410.

The spelling of 244949040 in words is "two hundred forty-four million, nine hundred forty-nine thousand, forty".