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216044334 = 23411412957
BaseRepresentation
bin11001110000010…
…01001100101110
3120001112012010000
430320021030232
5420301404314
633234325130
75232226602
oct1470111456
9501465100
10216044334
11100a51340
12604297a6
13359b40ac
142099b502
1513e78209
hexce0932e

216044334 has 80 divisors (see below), whose sum is σ = 541172016. Its totient is φ = 63849600.

The previous prime is 216044333. The next prime is 216044351. The reversal of 216044334 is 433440612.

216044334 is a `hidden beast` number, since 21 + 604 + 4 + 3 + 34 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 216044298 and 216044307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216044333) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 71584 + ... + 74540.

Almost surely, 2216044334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216044334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270586008).

216044334 is an abundant number, since it is smaller than the sum of its proper divisors (325127682).

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

216044334 is a wasteful number, since it uses less digits than its factorization.

216044334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3014 counting only the distinct ones).

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

The square root of 216044334 is about 14698.4466526229. The cubic root of 216044334 is about 600.0410471918.

Adding to 216044334 its reverse (433440612), we get a palindrome (649484946).

The spelling of 216044334 in words is "two hundred sixteen million, forty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 81 82 99 123 162 198 246 297 369 451 594 738 891 902 1107 1353 1782 2214 2706 2957 3321 4059 5914 6642 8118 8871 12177 17742 24354 26613 32527 36531 53226 65054 73062 79839 97581 121237 159678 195162 239517 242474 292743 363711 479034 585486 727422 878229 1091133 1333607 1756458 2182266 2634687 2667214 3273399 4000821 5269374 6546798 8001642 9820197 12002463 19640394 24004926 36007389 72014778 108022167 216044334