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3404441404 = 2272132694967
BaseRepresentation
bin1100101011101011…
…1010011100111100
322210021001112122101
43022322322130330
523433014111104
61321452554444
7150236163100
oct31272723474
98707045571
103404441404
11149779a241
127b0182a24
1342341c590
14244205900
1514dd335a4
hexcaeba73c

3404441404 has 72 divisors (see below), whose sum is σ = 7492836960. Its totient is φ = 1341535104.

The previous prime is 3404441389. The next prime is 3404441407. The reversal of 3404441404 is 4041444043.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404441407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682929 + ... + 687895.

It is an arithmetic number, because the mean of its divisors is an integer number (104067180).

Almost surely, 23404441404 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 3404441404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746418480).

3404441404 is an abundant number, since it is smaller than the sum of its proper divisors (4088395556).

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

3404441404 is a wasteful number, since it uses less digits than its factorization.

3404441404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 3404441404 is about 58347.5912441979. The cubic root of 3404441404 is about 1504.3490677016.

Adding to 3404441404 its reverse (4041444043), we get a palindrome (7445885447).

The spelling of 3404441404 in words is "three billion, four hundred four million, four hundred forty-one thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 269 364 538 637 1076 1274 1883 2548 3497 3766 4967 6994 7532 9934 13181 13988 19868 24479 26362 34769 48958 52724 64571 69538 97916 129142 139076 171353 243383 258284 342706 451997 486766 685412 903994 973532 1336123 1807988 2672246 3163979 5344492 6327958 9352861 12655916 17369599 18705722 34739198 37411444 65470027 69478396 121587193 130940054 243174386 261880108 486348772 851110351 1702220702 3404441404