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4400406 = 234231181
BaseRepresentation
bin10000110010010100010110
322021120020000
4100302110112
52111303111
6234152130
752255113
oct20622426
98246200
104400406
1125360aa
121582646
13bb0bba
1482790a
155bdc56
hex432516

4400406 has 40 divisors (see below), whose sum is σ = 10297584. Its totient is φ = 1401840.

The previous prime is 4400401. The next prime is 4400413. The reversal of 4400406 is 6040044.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3136 + ... + 4316.

Almost surely, 24400406 is an apocalyptic number.

4400406 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148792).

4400406 is an abundant number, since it is smaller than the sum of its proper divisors (5897178).

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

4400406 is a wasteful number, since it uses less digits than its factorization.

4400406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4400406 is about 2097.7144705608. The cubic root of 4400406 is about 163.8692940323.

The spelling of 4400406 in words is "four million, four hundred thousand, four hundred six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1181 1242 1863 2362 3543 3726 7086 10629 21258 27163 31887 54326 63774 81489 95661 162978 191322 244467 488934 733401 1466802 2200203 4400406