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342216765 = 33511230449
BaseRepresentation
bin10100011001011…
…101000000111101
3212211221102011000
4110121131000331
51200101414030
653542520513
711323536342
oct2431350075
9784842130
10342216765
11166199580
1296736139
1355b8c637
14336427c9
152009c860
hex1465d03d

342216765 has 32 divisors (see below), whose sum is σ = 663696000. Its totient is φ = 165922560.

The previous prime is 342216761. The next prime is 342216799. The reversal of 342216765 is 567612243.

It is not a de Polignac number, because 342216765 - 22 = 342216761 is a prime.

It is a super-3 number, since 3×3422167653 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342216761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113740 + ... + 116709.

It is an arithmetic number, because the mean of its divisors is an integer number (20740500).

Almost surely, 2342216765 is an apocalyptic number.

It is an amenable number.

342216765 is a deficient number, since it is larger than the sum of its proper divisors (321479235).

342216765 is a wasteful number, since it uses less digits than its factorization.

342216765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230474 (or 230468 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 342216765 is about 18499.1017349492. The cubic root of 342216765 is about 699.4667810030.

The spelling of 342216765 in words is "three hundred forty-two million, two hundred sixteen thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 230449 691347 1152245 2074041 2534939 3456735 6222123 7604817 10370205 12674695 22814451 31110615 38024085 68443353 114072255 342216765