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244324344 = 233111967727
BaseRepresentation
bin11101001000000…
…01011111111000
3122000201221222210
432210001133320
51000021334334
640124415120
76024502605
oct1644013770
9560657883
10244324344
11115a07550
12699a74a0
133b806224
142463d6ac
15166b25e9
hexe9017f8

244324344 has 128 divisors (see below), whose sum is σ = 712857600. Its totient is φ = 68999040.

The previous prime is 244324321. The next prime is 244324349. The reversal of 244324344 is 443423442.

244324344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244324349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335709 + ... + 336435.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2244324344 is an apocalyptic number.

244324344 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 244324344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356428800).

244324344 is an abundant number, since it is smaller than the sum of its proper divisors (468533256).

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

244324344 is a wasteful number, since it uses less digits than its factorization.

244324344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 829 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 244324344 is about 15630.8779024084. The cubic root of 244324344 is about 625.1567342384.

Adding to 244324344 its reverse (443423442), we get a palindrome (687747786).

The spelling of 244324344 in words is "two hundred forty-four million, three hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 67 76 88 114 132 134 152 201 209 228 264 268 402 418 456 536 627 727 737 804 836 1254 1273 1454 1474 1608 1672 2181 2211 2508 2546 2908 2948 3819 4362 4422 5016 5092 5816 5896 7638 7997 8724 8844 10184 13813 14003 15276 15994 17448 17688 23991 27626 28006 30552 31988 41439 42009 47982 48709 55252 56012 63976 82878 84018 95964 97418 110504 112024 146127 151943 165756 168036 191928 194836 292254 303886 331512 336072 389672 455829 535799 584508 607772 911658 925471 1071598 1169016 1215544 1607397 1823316 1850942 2143196 2776413 3214794 3646632 3701884 4286392 5552826 6429588 7403768 10180181 11105652 12859176 20360362 22211304 30540543 40720724 61081086 81441448 122162172 244324344