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3345346543 = 71110124259
BaseRepresentation
bin1100011101100101…
…1110111111101111
322122010212012201211
43013121132333233
523322402042133
61311542215251
7145620655630
oct30731367757
98563765654
103345346543
1114673a7410
12794424527
134140cb5c6
1423a421887
15148a5dbcd
hexc765efef

3345346543 has 24 divisors (see below), whose sum is σ = 4213514880. Its totient is φ = 2580348000.

The previous prime is 3345346541. The next prime is 3345346621. The reversal of 3345346543 is 3456435433.

It is not a de Polignac number, because 3345346543 - 21 = 3345346541 is a prime.

It is a super-2 number, since 2×33453465432 = 22382686985524101698, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3345346496 and 3345346505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345346541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783348 + ... + 787606.

It is an arithmetic number, because the mean of its divisors is an integer number (175563120).

Almost surely, 23345346543 is an apocalyptic number.

3345346543 is a deficient number, since it is larger than the sum of its proper divisors (868168337).

3345346543 is a wasteful number, since it uses less digits than its factorization.

3345346543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4378 counting only the distinct ones).

The product of its digits is 777600, while the sum is 40.

The square root of 3345346543 is about 57838.9707982429. The cubic root of 3345346543 is about 1495.5939658398.

The spelling of 3345346543 in words is "three billion, three hundred forty-five million, three hundred forty-six thousand, five hundred forty-three".

Divisors: 1 7 11 77 101 707 1111 4259 7777 10201 29813 46849 71407 112211 327943 430159 785477 3011113 4731749 33122243 43446059 304122413 477906649 3345346543