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3804416 = 28711193
BaseRepresentation
bin1110100000110100000000
321011021200022
432200310000
51433220131
6213313012
744223410
oct16406400
97137608
103804416
112169350
121335768
13a32845
14710640
1550237b
hex3a0d00

3804416 has 72 divisors (see below), whose sum is σ = 9516864. Its totient is φ = 1474560.

The previous prime is 3804397. The next prime is 3804419. The reversal of 3804416 is 6144083.

It is a super-2 number, since 2×38044162 = 28947162202112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3804419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19616 + ... + 19808.

Almost surely, 23804416 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 3804416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758432).

3804416 is an abundant number, since it is smaller than the sum of its proper divisors (5712448).

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

3804416 is a wasteful number, since it uses less digits than its factorization.

3804416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 3804416 is about 1950.4912201802. The cubic root of 3804416 is about 156.1095001539.

Adding to 3804416 its reverse (6144083), we get a palindrome (9948499).

The spelling of 3804416 in words is "three million, eight hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 193 224 256 308 352 386 448 616 704 772 896 1232 1351 1408 1544 1792 2123 2464 2702 2816 3088 4246 4928 5404 6176 8492 9856 10808 12352 14861 16984 19712 21616 24704 29722 33968 43232 49408 59444 67936 86464 118888 135872 172928 237776 271744 345856 475552 543488 951104 1902208 3804416