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243023352 = 23311133419
BaseRepresentation
bin11100111110000…
…11110111111000
3121221021212100220
432133003313320
5444203221402
640040500040
76010443615
oct1637036770
9557255326
10243023352
111151a9050
126947a620
133b46c000
14243c150c
1516506dbc
hexe7c3df8

243023352 has 128 divisors (see below), whose sum is σ = 719712000. Its totient is φ = 67816320.

The previous prime is 243023303. The next prime is 243023371. The reversal of 243023352 is 253320342.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579799 + ... + 580217.

It is an arithmetic number, because the mean of its divisors is an integer number (5622750).

Almost surely, 2243023352 is an apocalyptic number.

243023352 is a gapful number since it is divisible by the number (22) 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 243023352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359856000).

243023352 is an abundant number, since it is smaller than the sum of its proper divisors (476688648).

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

243023352 is a wasteful number, since it uses less digits than its factorization.

243023352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 243023352 is about 15589.2062658751. The cubic root of 243023352 is about 624.0451356240.

Adding to 243023352 its reverse (253320342), we get a palindrome (496343694).

The spelling of 243023352 in words is "two hundred forty-three million, twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 169 264 286 312 338 419 429 507 572 676 838 858 1014 1144 1257 1352 1676 1716 1859 2028 2197 2514 3352 3432 3718 4056 4394 4609 5028 5447 5577 6591 7436 8788 9218 10056 10894 11154 13182 13827 14872 16341 17576 18436 21788 22308 24167 26364 27654 32682 36872 43576 44616 48334 52728 55308 59917 65364 70811 72501 96668 110616 119834 130728 141622 145002 179751 193336 212433 239668 283244 290004 359502 424866 479336 566488 580008 719004 778921 849732 920543 1438008 1557842 1699464 1841086 2336763 2761629 3115684 3682172 4673526 5523258 6231368 7364344 9347052 10125973 11046516 18694104 20251946 22093032 30377919 40503892 60755838 81007784 121511676 243023352