Search a number
-
+
16434216 = 23323137199
BaseRepresentation
bin111110101100…
…010000101000
31010220221111200
4332230100220
513201343331
61344124200
7256455111
oct76542050
933827450
1016434216
1193052a7
125606660
1335353b6
14227b208
1516995e6
hexfac428

16434216 has 96 divisors (see below), whose sum is σ = 47424000. Its totient is φ = 5132160.

The previous prime is 16434203. The next prime is 16434217. The reversal of 16434216 is 61243461.

16434216 is a `hidden beast` number, since 1 + 643 + 4 + 2 + 16 = 666.

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 16434216.

It is not an unprimeable number, because it can be changed into a prime (16434217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82485 + ... + 82683.

It is an arithmetic number, because the mean of its divisors is an integer number (494000).

Almost surely, 216434216 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 16434216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23712000).

16434216 is an abundant number, since it is smaller than the sum of its proper divisors (30989784).

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

16434216 is a wasteful number, since it uses less digits than its factorization.

16434216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 272 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 16434216 is about 4053.9136645962. The cubic root of 16434216 is about 254.2433858641.

Adding to 16434216 its reverse (61243461), we get a palindrome (77677677).

The spelling of 16434216 in words is "sixteen million, four hundred thirty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 37 62 72 74 93 111 124 148 186 199 222 248 279 296 333 372 398 444 558 597 666 744 796 888 1116 1147 1194 1332 1592 1791 2232 2294 2388 2664 3441 3582 4588 4776 6169 6882 7164 7363 9176 10323 12338 13764 14328 14726 18507 20646 22089 24676 27528 29452 37014 41292 44178 49352 55521 58904 66267 74028 82584 88356 111042 132534 148056 176712 222084 228253 265068 444168 456506 530136 684759 913012 1369518 1826024 2054277 2739036 4108554 5478072 8217108 16434216