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244448424 = 233211292367
BaseRepresentation
bin11101001000111…
…11110010101000
3122000222021012100
432210133302220
51000034322144
640131213400
76025530423
oct1644376250
9560867170
10244448424
11115a917a0
1269a47260
133b84a84c
14246729ba
15166d9269
hexe91fca8

244448424 has 144 divisors (see below), whose sum is σ = 750035520. Its totient is φ = 71326080.

The previous prime is 244448419. The next prime is 244448429. The reversal of 244448424 is 424844442.

It is an interprime number because it is at equal distance from previous prime (244448419) and next prime (244448429).

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

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

It is not an unprimeable number, because it can be changed into a prime (244448429) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 665889 + ... + 666255.

It is an arithmetic number, because the mean of its divisors is an integer number (5208580).

Almost surely, 2244448424 is an apocalyptic number.

244448424 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 244448424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375017760).

244448424 is an abundant number, since it is smaller than the sum of its proper divisors (505587096).

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

244448424 is a wasteful number, since it uses less digits than its factorization.

244448424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 412 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

The square root of 244448424 is about 15634.8464655077. The cubic root of 244448424 is about 625.2625448436.

The spelling of 244448424 in words is "two hundred forty-four million, four hundred forty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 132 174 198 232 261 264 319 348 367 396 522 638 696 734 792 841 957 1044 1101 1276 1468 1682 1914 2088 2202 2523 2552 2871 2936 3303 3364 3828 4037 4404 5046 5742 6606 6728 7569 7656 8074 8808 9251 10092 10643 11484 12111 13212 15138 16148 18502 20184 21286 22968 24222 26424 27753 30276 31929 32296 36333 37004 42572 48444 55506 60552 63858 72666 74008 83259 85144 95787 96888 111012 117073 127716 145332 166518 191574 222024 234146 255432 290664 308647 333036 351219 383148 468292 617294 666072 702438 766296 925941 936584 1053657 1234588 1404876 1851882 2107314 2469176 2777823 2809752 3395117 3703764 4214628 5555646 6790234 7407528 8429256 10185351 11111292 13580468 20370702 22222584 27160936 30556053 40741404 61112106 81482808 122224212 244448424