Search a number
-
+
16034382 = 2337132251
BaseRepresentation
bin111101001010…
…101001001110
31010011122001000
4331022221032
513101100012
61331401130
7253201320
oct75125116
933148030
1016034382
119061961
1254531a6
133425400
1421b5610
15161addc
hexf4aa4e

16034382 has 96 divisors (see below), whose sum is σ = 44271360. Its totient is φ = 4212000.

The previous prime is 16034363. The next prime is 16034387. The reversal of 16034382 is 28343061.

It is a happy number.

It is a super-2 number, since 2×160343822 = 514202812243848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16034387) 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 47 ways as a sum of consecutive naturals, for example, 63757 + ... + 64007.

It is an arithmetic number, because the mean of its divisors is an integer number (461160).

Almost surely, 216034382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16034382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22135680).

16034382 is an abundant number, since it is smaller than the sum of its proper divisors (28236978).

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

16034382 is a wasteful number, since it uses less digits than its factorization.

16034382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 276 counting only the distinct ones).

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

The square root of 16034382 is about 4004.2954436455. The cubic root of 16034382 is about 252.1645750364.

The spelling of 16034382 in words is "sixteen million, thirty-four thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 169 182 189 234 251 273 338 351 378 502 507 546 702 753 819 1014 1183 1506 1521 1638 1757 2259 2366 2457 3042 3263 3514 3549 4518 4563 4914 5271 6526 6777 7098 9126 9789 10542 10647 13554 15813 19578 21294 22841 29367 31626 31941 42419 45682 47439 58734 63882 68523 84838 88101 94878 127257 137046 176202 205569 254514 296933 381771 411138 593866 616707 763542 890799 1145313 1233414 1781598 2290626 2672397 5344794 8017191 16034382