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3346440416 = 251194710039
BaseRepresentation
bin1100011101110110…
…1010000011100000
322122012220210020122
43013131222003200
523323142043131
61312021455412
7145633163024
oct30735520340
98565823218
103346440416
111467a84240
12794871568
134143c2477
1423a628384
15148bc7d7b
hexc776a0e0

3346440416 has 48 divisors (see below), whose sum is σ = 7195547520. Its totient is φ = 1519351680.

The previous prime is 3346440403. The next prime is 3346440443. The reversal of 3346440416 is 6140446433.

It is a super-2 number, since 2×33464404162 = 22397326915676506112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328325 + ... + 338363.

It is an arithmetic number, because the mean of its divisors is an integer number (149907240).

Almost surely, 23346440416 is an apocalyptic number.

It is an amenable number.

3346440416 is an abundant number, since it is smaller than the sum of its proper divisors (3849107104).

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

3346440416 is a wasteful number, since it uses less digits than its factorization.

3346440416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11007 (or 10999 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The square root of 3346440416 is about 57848.4262188696. The cubic root of 3346440416 is about 1495.7569595741.

Adding to 3346440416 its reverse (6140446433), we get a palindrome (9486886849).

The spelling of 3346440416 in words is "three billion, three hundred forty-six million, four hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 947 1894 3788 7576 10039 10417 15152 20078 20834 30304 40156 41668 80312 83336 110429 160624 166672 220858 321248 333344 441716 883432 1766864 3533728 9506933 19013866 38027732 76055464 104576263 152110928 209152526 304221856 418305052 836610104 1673220208 3346440416