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244740096 = 212332213
BaseRepresentation
bin11101001011001…
…11000000000000
3122001112002022000
432211213000000
51000123140341
640141344000
76031153656
oct1645470000
9561462260
10244740096
11116170947
1269b68000
133b920533
142470add6
15167458b6
hexe967000

244740096 has 104 divisors (see below), whose sum is σ = 725394960. Its totient is φ = 81543168.

The previous prime is 244740091. The next prime is 244740101. The reversal of 244740096 is 690047442.

244740096 is a `hidden beast` number, since 244 + 7 + 400 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (244740091) and next prime (244740101).

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

It is a self number, because there is not a number n which added to its sum of digits gives 244740096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244740091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109486 + ... + 111698.

Almost surely, 2244740096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362697480).

244740096 is an abundant number, since it is smaller than the sum of its proper divisors (480654864).

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

244740096 is an equidigital number, since it uses as much as digits as its factorization.

244740096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 244740096 is about 15644.1713107470. The cubic root of 244740096 is about 625.5111304658.

The spelling of 244740096 in words is "two hundred forty-four million, seven hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2213 2304 3072 3456 4096 4426 4608 6144 6639 6912 8852 9216 12288 13278 13824 17704 18432 19917 26556 27648 35408 36864 39834 53112 55296 59751 70816 79668 106224 110592 119502 141632 159336 212448 239004 283264 318672 424896 478008 566528 637344 849792 956016 1133056 1274688 1699584 1912032 2266112 2549376 3399168 3824064 4532224 5098752 6798336 7648128 9064448 10197504 13596672 15296256 20395008 27193344 30592512 40790016 61185024 81580032 122370048 244740096