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234441216 = 29345653
BaseRepresentation
bin11011111100101…
…00101000000000
3121100010211220000
431332110220000
5440004104331
635132520000
75544501042
oct1576245000
9540124800
10234441216
11110377179
1266620000
1339755919
14231c9a92
15158ae0e6
hexdf94a00

234441216 has 100 divisors (see below), whose sum is σ = 699869082. Its totient is φ = 78133248.

The previous prime is 234441211. The next prime is 234441223. The reversal of 234441216 is 612144432.

It is a happy number.

234441216 is a `hidden beast` number, since 2 + 3 + 4 + 441 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 171714816 + 62726400 = 13104^2 + 7920^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 234441216.

It is not an unprimeable number, because it can be changed into a prime (234441211) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38646 + ... + 44298.

Almost surely, 2234441216 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 234441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349934541).

234441216 is an abundant number, since it is smaller than the sum of its proper divisors (465427866).

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

234441216 is an frugal number, since it uses more digits than its factorization.

234441216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5683 (or 5658 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 234441216 is about 15311.4733451749. The cubic root of 234441216 is about 616.6110762972.

Adding to 234441216 its reverse (612144432), we get a palindrome (846585648).

The spelling of 234441216 in words is "two hundred thirty-four million, four hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 5653 6912 10368 11306 13824 16959 20736 22612 33918 41472 45224 50877 67836 90448 101754 135672 152631 180896 203508 271344 305262 361792 407016 457893 542688 610524 723584 814032 915786 1085376 1221048 1447168 1628064 1831572 2170752 2442096 2894336 3256128 3663144 4341504 4884192 6512256 7326288 8683008 9768384 13024512 14652576 19536768 26049024 29305152 39073536 58610304 78147072 117220608 234441216