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234433024 = 297149439
BaseRepresentation
bin11011111100100…
…10101000000000
3121100010102122121
431332102220000
5440003324044
635132414024
75544435130
oct1576225000
9540112577
10234433024
11110371001
1266617314
1339751c87
14231c6ac0
15158ab984
hexdf92a00

234433024 has 80 divisors (see below), whose sum is σ = 540144000. Its totient is φ = 99569664.

The previous prime is 234433007. The next prime is 234433049. The reversal of 234433024 is 420334432.

It is a self number, because there is not a number n which added to its sum of digits gives 234433024.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 533797 + ... + 534235.

It is an arithmetic number, because the mean of its divisors is an integer number (6751800).

Almost surely, 2234433024 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 234433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270072000).

234433024 is an abundant number, since it is smaller than the sum of its proper divisors (305710976).

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

234433024 is an equidigital number, since it uses as much as digits as its factorization.

234433024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 234433024 is about 15311.2058310245. The cubic root of 234433024 is about 616.6038942029.

Adding to 234433024 its reverse (420334432), we get a palindrome (654767456).

The spelling of 234433024 in words is "two hundred thirty-four million, four hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 149 224 256 298 439 448 512 596 878 896 1043 1192 1756 1792 2086 2384 3073 3512 3584 4172 4768 6146 7024 8344 9536 12292 14048 16688 19072 24584 28096 33376 38144 49168 56192 65411 66752 76288 98336 112384 130822 133504 196672 224768 261644 267008 393344 457877 523288 534016 786688 915754 1046576 1573376 1831508 2093152 3663016 4186304 7326032 8372608 14652064 16745216 29304128 33490432 58608256 117216512 234433024