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244351296 = 2633720201
BaseRepresentation
bin11101001000010…
…00000101000000
3122000210022222000
432210020011000
51000023220141
640125144000
76024644310
oct1644100500
9560708860
10244351296
11115a25822
12699bb000
133b815587
1424649440
15166ba5b6
hexe908140

244351296 has 112 divisors (see below), whose sum is σ = 821009280. Its totient is φ = 69811200.

The previous prime is 244351291. The next prime is 244351309. The reversal of 244351296 is 692153442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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 244351296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244351291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1996 + ... + 22196.

It is an arithmetic number, because the mean of its divisors is an integer number (7330440).

Almost surely, 2244351296 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 244351296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410504640).

244351296 is an abundant number, since it is smaller than the sum of its proper divisors (576657984).

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

244351296 is a wasteful number, since it uses less digits than its factorization.

244351296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20229 (or 20213 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 244351296 is about 15631.7400183089. The cubic root of 244351296 is about 625.1797209023.

The spelling of 244351296 in words is "two hundred forty-four million, three hundred fifty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 20201 40402 60603 80804 121206 141407 161608 181809 242412 282814 323216 363618 424221 484824 545427 565628 646432 727236 848442 969648 1090854 1131256 1272663 1292864 1454472 1696884 1939296 2181708 2262512 2545326 2908944 3393768 3817989 3878592 4363416 4525024 5090652 5817888 6787536 7635978 8726832 9050048 10181304 11635776 13575072 15271956 17453664 20362608 27150144 30543912 34907328 40725216 61087824 81450432 122175648 244351296