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243111424 = 291723153
BaseRepresentation
bin11100111110110…
…01011000000000
3121221110100011211
432133121120000
5444214031144
640042415504
76011261443
oct1637313000
9557410154
10243111424
11115259236
1269501594
133b4a011a
142440565a
1516523034
hexe7d9600

243111424 has 120 divisors (see below), whose sum is σ = 542697408. Its totient is φ = 108625920.

The previous prime is 243111409. The next prime is 243111431. The reversal of 243111424 is 424111342.

It is a happy number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 243111395 and 243111404.

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 11 ways as a sum of consecutive naturals, for example, 4586982 + ... + 4587034.

Almost surely, 2243111424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271348704).

243111424 is an abundant number, since it is smaller than the sum of its proper divisors (299585984).

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

243111424 is an equidigital number, since it uses as much as digits as its factorization.

243111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 103 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 243111424 is about 15592.0307849876. The cubic root of 243111424 is about 624.1205114604.

Adding to 243111424 its reverse (424111342), we get a palindrome (667222766).

The spelling of 243111424 in words is "two hundred forty-three million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 31 32 34 53 62 64 68 106 124 128 136 212 248 256 272 289 424 496 512 527 544 578 848 901 992 1054 1088 1156 1643 1696 1802 1984 2108 2176 2312 3286 3392 3604 3968 4216 4352 4624 6572 6784 7208 7936 8432 8704 8959 9248 13144 13568 14416 15317 15872 16864 17918 18496 26288 27136 27931 28832 30634 33728 35836 36992 52576 55862 57664 61268 67456 71672 73984 105152 111724 115328 122536 134912 143344 147968 210304 223448 230656 245072 269824 286688 420608 446896 461312 474827 490144 573376 841216 893792 949654 980288 1146752 1787584 1899308 1960576 2293504 3575168 3798616 3921152 4587008 7150336 7597232 7842304 14300672 15194464 30388928 60777856 121555712 243111424