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16444134 = 234717853
BaseRepresentation
bin111110101110…
…101011100110
31010221110010000
4332232223212
513202203014
61344242130
7256526040
oct76565346
933843100
1016444134
1193117a3
125610346
133539a75
142280a90
15169c509
hexfaeae6

16444134 has 80 divisors (see below), whose sum is σ = 44640288. Its totient is φ = 4416768.

The previous prime is 16444133. The next prime is 16444159. The reversal of 16444134 is 43144461.

16444134 is a `hidden beast` number, since 1 + 644 + 4 + 13 + 4 = 666.

It is a super-3 number, since 3×164441343 (a number of 23 digits) contains 333 as substring.

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 = 16444098 and 16444107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16444133) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18852 + ... + 19704.

Almost surely, 216444134 is an apocalyptic number.

16444134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16444134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320144).

16444134 is an abundant number, since it is smaller than the sum of its proper divisors (28196154).

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

16444134 is a wasteful number, since it uses less digits than its factorization.

16444134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 882 counting only the distinct ones).

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

The square root of 16444134 is about 4055.1367424539. The cubic root of 16444134 is about 254.2945206189.

Adding to 16444134 its reverse (43144461), we get a palindrome (59588595).

It can be divided in two parts, 1644 and 4134, that added together give a triangular number (5778 = T107).

The spelling of 16444134 in words is "sixteen million, four hundred forty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 378 459 567 714 853 918 1071 1134 1377 1706 2142 2559 2754 3213 5118 5971 6426 7677 9639 11942 14501 15354 17913 19278 23031 29002 35826 43503 46062 53739 69093 87006 101507 107478 130509 138186 161217 203014 261018 304521 322434 391527 483651 609042 783054 913563 967302 1174581 1827126 2349162 2740689 5481378 8222067 16444134