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244270944 = 2533299749
BaseRepresentation
bin11101000111101…
…00011101100000
3122000122020202000
432203310131200
51000013132234
640123324000
76024161121
oct1643643540
9560566660
10244270944
11115980415
1269980600
133b7b7b28
1424628048
15166a1899
hexe8f4760

244270944 has 96 divisors (see below), whose sum is σ = 737100000. Its totient is φ = 78607872.

The previous prime is 244270933. The next prime is 244270967. The reversal of 244270944 is 449072442.

244270944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2442709442 = 119336588165302272, which contains 22 as substring.

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 = 244270899 and 244270908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20182 + ... + 29930.

It is an arithmetic number, because the mean of its divisors is an integer number (7678125).

Almost surely, 2244270944 is an apocalyptic number.

244270944 is a gapful number since it is divisible by the number (24) 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 244270944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368550000).

244270944 is an abundant number, since it is smaller than the sum of its proper divisors (492829056).

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

244270944 is a wasteful number, since it uses less digits than its factorization.

244270944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9797 (or 9783 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 244270944 is about 15629.1696516482. The cubic root of 244270944 is about 625.1111857659. Note that the first 4 decimals are identical.

The spelling of 244270944 in words is "two hundred forty-four million, two hundred seventy thousand, nine hundred forty-four".