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4244310240 = 25358842313
BaseRepresentation
bin1111110011111011…
…0000100011100000
3101221210102022002120
43330332300203200
532143020411430
61541054144240
7210115020222
oct37476604340
911853368076
104244310240
111888891115
129a54b2080
135284213a1
142c398c412
1519c933610
hexfcfb08e0

4244310240 has 48 divisors (see below), whose sum is σ = 13369578768. Its totient is φ = 1131815936.

The previous prime is 4244310181. The next prime is 4244310241. The reversal of 4244310240 is 420134424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4244310240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244310241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4420677 + ... + 4421636.

It is an arithmetic number, because the mean of its divisors is an integer number (278532891).

Almost surely, 24244310240 is an apocalyptic number.

4244310240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4244310240 is an abundant number, since it is smaller than the sum of its proper divisors (9125268528).

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

4244310240 is a wasteful number, since it uses less digits than its factorization.

4244310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8842331 (or 8842323 counting only the distinct ones).

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

The square root of 4244310240 is about 65148.3709696566. The cubic root of 4244310240 is about 1619.0827302299.

Adding to 4244310240 its reverse (420134424), we get a palindrome (4664444664).

The spelling of 4244310240 in words is "four billion, two hundred forty-four million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8842313 17684626 26526939 35369252 44211565 53053878 70738504 88423130 106107756 132634695 141477008 176846260 212215512 265269390 282954016 353692520 424431024 530538780 707385040 848862048 1061077560 1414770080 2122155120 4244310240