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4404414 = 237271211
BaseRepresentation
bin10000110011010010111110
322021202201110
4100303102332
52111420124
6234222450
752302600
oct20632276
98252643
104404414
112539113
121584a26
13bb2981
14829170
155c0029
hex4334be

4404414 has 48 divisors (see below), whose sum is σ = 10440576. Its totient is φ = 1234800.

The previous prime is 4404397. The next prime is 4404419. The reversal of 4404414 is 4144044.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20769 + ... + 20979.

It is an arithmetic number, because the mean of its divisors is an integer number (217512).

Almost surely, 24404414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4404414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220288).

4404414 is an abundant number, since it is smaller than the sum of its proper divisors (6036162).

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

4404414 is a wasteful number, since it uses less digits than its factorization.

4404414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4404414 is about 2098.6695785664. The cubic root of 4404414 is about 163.9190310206.

Adding to 4404414 its reverse (4144044), we get a palindrome (8548458).

It can be divided in two parts, 44044 and 14, that multiplied together give a palindrome (616616).

The spelling of 4404414 in words is "four million, four hundred four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 211 213 294 422 426 497 633 994 1266 1477 1491 2954 2982 3479 4431 6958 8862 10339 10437 14981 20678 20874 29962 31017 44943 62034 89886 104867 209734 314601 629202 734069 1468138 2202207 4404414