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4114404 = 2232729563
BaseRepresentation
bin1111101100011111100100
321202000220100
433230133210
52023130104
6224104100
746654230
oct17543744
97660810
104114404
112360238
121465030
13b10978
147915c0
15564139
hex3ec7e4

4114404 has 72 divisors (see below), whose sum is σ = 12317760. Its totient is φ = 1132992.

The previous prime is 4114373. The next prime is 4114421. The reversal of 4114404 is 4044114.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7027 + ... + 7589.

It is an arithmetic number, because the mean of its divisors is an integer number (171080).

Almost surely, 24114404 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 4114404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6158880).

4114404 is an abundant number, since it is smaller than the sum of its proper divisors (8203356).

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

4114404 is a wasteful number, since it uses less digits than its factorization.

4114404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4114404 is about 2028.3993689607. The cubic root of 4114404 is about 160.2392774028.

Adding to 4114404 its reverse (4044114), we get a palindrome (8158518).

The spelling of 4114404 in words is "four million, one hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 563 609 812 1044 1126 1218 1689 1827 2252 2436 3378 3654 3941 5067 6756 7308 7882 10134 11823 15764 16327 20268 23646 32654 35469 47292 48981 65308 70938 97962 114289 141876 146943 195924 228578 293886 342867 457156 587772 685734 1028601 1371468 2057202 4114404