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243023440 = 245111571759
BaseRepresentation
bin11100111110000…
…11111001010000
3121221021212111011
432133003321100
5444203222230
640040500304
76010444102
oct1637037120
9557255434
10243023440
111151a9120
126947a694
133b46c06a
14243c1572
1516506e2a
hexe7c3e50

243023440 has 80 divisors (see below), whose sum is σ = 620674560. Its totient is φ = 87759360.

The previous prime is 243023399. The next prime is 243023447. The reversal of 243023440 is 44320342.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243023447) 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, 137281 + ... + 139039.

It is an arithmetic number, because the mean of its divisors is an integer number (7758432).

Almost surely, 2243023440 is an apocalyptic number.

243023440 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 243023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310337280).

243023440 is an abundant number, since it is smaller than the sum of its proper divisors (377651120).

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

243023440 is a wasteful number, since it uses less digits than its factorization.

243023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 243023440 is about 15589.2090883406. The cubic root of 243023440 is about 624.0452109473.

Adding to 243023440 its reverse (44320342), we get a palindrome (287343782).

The spelling of 243023440 in words is "two hundred forty-three million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 157 176 220 314 440 628 785 880 1256 1570 1727 1759 2512 3140 3454 3518 6280 6908 7036 8635 8795 12560 13816 14072 17270 17590 19349 27632 28144 34540 35180 38698 69080 70360 77396 96745 138160 140720 154792 193490 276163 309584 386980 552326 773960 1104652 1380815 1547920 2209304 2761630 3037793 4418608 5523260 6075586 11046520 12151172 15188965 22093040 24302344 30377930 48604688 60755860 121511720 243023440