Search a number
-
+
345546541703 = 11217796433307
BaseRepresentation
bin1010000011101000010…
…11011100101010000111
31020000220201210002002002
411001310023130222013
521130134403313303
6422424125335515
733651652066556
oct5016413345207
91200821702062
10345546541703
11123600018200
1256b76a0759b
132677b03c0bc
1412a201ddd9d
158ec60aa788
hex50742dca87

345546541703 has 48 divisors (see below), whose sum is σ = 408005015040. Its totient is φ = 291370210560.

The previous prime is 345546541673. The next prime is 345546541793. The reversal of 345546541703 is 307145645543.

It is not a de Polignac number, because 345546541703 - 214 = 345546525319 is a prime.

It is a super-3 number, since 3×3455465417033 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345546541793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104487776 + ... + 104491082.

It is an arithmetic number, because the mean of its divisors is an integer number (8500104480).

Almost surely, 2345546541703 is an apocalyptic number.

345546541703 is a deficient number, since it is larger than the sum of its proper divisors (62458473337).

345546541703 is a wasteful number, since it uses less digits than its factorization.

345546541703 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 47.

The spelling of 345546541703 in words is "three hundred forty-five billion, five hundred forty-six million, five hundred forty-one thousand, seven hundred three".

Divisors: 1 11 17 79 121 187 643 869 1343 2057 3307 7073 9559 10931 14773 36377 50797 56219 77803 120241 162503 261253 400147 558767 618409 863549 1322651 2126401 2873783 4441301 6146437 6802499 9499039 23390411 31611613 36148817 48854311 104489429 167985679 257294521 397636987 537397421 1847842469 2855756543 4374006857 20326267159 31413321973 345546541703