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440106804 = 2233191391543
BaseRepresentation
bin11010001110110…
…111111100110100
31010200010202001000
4122032313330310
51400131404204
6111401003300
713622563134
oct3216677464
91120122030
10440106804
11206479835
12103483530
1370244937
1442644ac4
1528987039
hex1a3b7f34

440106804 has 96 divisors (see below), whose sum is σ = 1210496000. Its totient is φ = 137891808.

The previous prime is 440106781. The next prime is 440106809. The reversal of 440106804 is 408601044.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440106809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284457 + ... + 285999.

Almost surely, 2440106804 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 440106804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605248000).

440106804 is an abundant number, since it is smaller than the sum of its proper divisors (770389196).

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

440106804 is a wasteful number, since it uses less digits than its factorization.

440106804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 440106804 is about 20978.7226493893. The cubic root of 440106804 is about 760.6520281636.

Adding to 440106804 its reverse (408601044), we get a palindrome (848707848).

The spelling of 440106804 in words is "four hundred forty million, one hundred six thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 139 171 228 278 342 417 513 556 684 834 1026 1251 1543 1668 2052 2502 2641 3086 3753 4629 5004 5282 6172 7506 7923 9258 10564 13887 15012 15846 18516 23769 27774 29317 31692 41661 47538 55548 58634 71307 83322 87951 95076 117268 142614 166644 175902 214477 263853 285228 351804 428954 527706 643431 791559 857908 1055412 1286862 1583118 1930293 2573724 3166236 3860586 4075063 5790879 7721172 8150126 11581758 12225189 16300252 23163516 24450378 36675567 48900756 73351134 110026701 146702268 220053402 440106804