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14406444 = 22331331331
BaseRepresentation
bin110110111101…
…001100101100
31000002220221000
4312331030230
512142001234
61232440300
7233311203
oct66751454
930086830
1014406444
11814a858
1249a9090
132ca5430
141cb023a
1513e8899
hexdbd32c

14406444 has 96 divisors (see below), whose sum is σ = 41646080. Its totient is φ = 4276800.

The previous prime is 14406439. The next prime is 14406461. The reversal of 14406444 is 44460441.

14406444 is a `hidden beast` number, since 14 + 4 + 0 + 644 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43359 + ... + 43689.

Almost surely, 214406444 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 14406444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20823040).

14406444 is an abundant number, since it is smaller than the sum of its proper divisors (27239636).

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

14406444 is a wasteful number, since it uses less digits than its factorization.

14406444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 14406444 is about 3795.5821687852. The cubic root of 14406444 is about 243.3243648829.

Adding to 14406444 its reverse (44460441), we get a palindrome (58866885).

The spelling of 14406444 in words is "fourteen million, four hundred six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 234 279 331 351 372 403 468 558 662 702 806 837 993 1116 1209 1324 1404 1612 1674 1986 2418 2979 3348 3627 3972 4303 4836 5958 7254 8606 8937 10261 10881 11916 12909 14508 17212 17874 20522 21762 25818 30783 35748 38727 41044 43524 51636 61566 77454 92349 116181 123132 133393 154908 184698 232362 266786 277047 369396 400179 464724 533572 554094 800358 1108188 1200537 1600716 2401074 3601611 4802148 7203222 14406444