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234423216 = 243219471823
BaseRepresentation
bin11011111100100…
…00001110110000
3121100002221012100
431332100032300
5440003020331
635132300400
75544364416
oct1576201660
9540087170
10234423216
111103646a5
1266611700
133974a681
14231c32b6
15158a8ae6
hexdf903b0

234423216 has 120 divisors (see below), whose sum is σ = 705669120. Its totient is φ = 72413568.

The previous prime is 234423191. The next prime is 234423227. The reversal of 234423216 is 612324432.

234423216 is a `hidden beast` number, since 2 + 3 + 442 + 3 + 216 = 666.

234423216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 234423216.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127681 + ... + 129503.

It is an arithmetic number, because the mean of its divisors is an integer number (5880576).

Almost surely, 2234423216 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 234423216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352834560).

234423216 is an abundant number, since it is smaller than the sum of its proper divisors (471245904).

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

234423216 is a wasteful number, since it uses less digits than its factorization.

234423216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1894 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 234423216 is about 15310.8855393801. The cubic root of 234423216 is about 616.5952951082.

Adding to 234423216 its reverse (612324432), we get a palindrome (846747648).

The spelling of 234423216 in words is "two hundred thirty-four million, four hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 47 48 57 72 76 94 114 141 144 152 171 188 228 282 304 342 376 423 456 564 684 752 846 893 912 1128 1368 1692 1786 1823 2256 2679 2736 3384 3572 3646 5358 5469 6768 7144 7292 8037 10716 10938 14288 14584 16074 16407 21432 21876 29168 32148 32814 34637 42864 43752 64296 65628 69274 85681 87504 103911 128592 131256 138548 171362 207822 257043 262512 277096 311733 342724 415644 514086 554192 623466 685448 771129 831288 1028172 1246932 1370896 1542258 1627939 1662576 2056344 2493864 3084516 3255878 4112688 4883817 4987728 6169032 6511756 9767634 12338064 13023512 14651451 19535268 26047024 29302902 39070536 58605804 78141072 117211608 234423216