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243424440 = 23345710733
BaseRepresentation
bin11101000001001…
…01110010111000
3121222001020120000
432200211302320
5444304040230
640053233000
76014034150
oct1640456270
9558036500
10243424440
11115452426
1269632760
133b57c73c
1424487760
1516585b60
hexe825cb8

243424440 has 160 divisors (see below), whose sum is σ = 935146080. Its totient is φ = 55634688.

The previous prime is 243424439. The next prime is 243424451. The reversal of 243424440 is 44424342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17314 + ... + 28046.

It is an arithmetic number, because the mean of its divisors is an integer number (5844663).

Almost surely, 2243424440 is an apocalyptic number.

243424440 is a gapful number since it is divisible by the number (20) 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 243424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467573040).

243424440 is an abundant number, since it is smaller than the sum of its proper divisors (691721640).

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

243424440 is a wasteful number, since it uses less digits than its factorization.

243424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10763 (or 10750 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 243424440 is about 15602.0652479087. The cubic root of 243424440 is about 624.3882568946.

Adding to 243424440 its reverse (44424342), we get a palindrome (287848782).

It can be divided in two parts, 24342 and 4440, that added together give a palindrome (28782).

The spelling of 243424440 in words is "two hundred forty-three million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 10733 11340 21466 22680 32199 42932 53665 64398 75131 85864 96597 107330 128796 150262 160995 193194 214660 225393 257592 289791 300524 321990 375655 386388 429320 450786 482985 579582 601048 643980 676179 751310 772776 869373 901572 965970 1126965 1159164 1287960 1352358 1448955 1502620 1738746 1803144 1931940 2028537 2253930 2318328 2704716 2897910 3005240 3380895 3477492 3863880 4057074 4346865 4507860 5409432 5795820 6085611 6761790 6954984 8114148 8693730 9015720 10142685 11591640 12171222 13523580 16228296 17387460 20285370 24342444 27047160 30428055 34774920 40570740 48684888 60856110 81141480 121712220 243424440