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343008216 = 23331983579
BaseRepresentation
bin10100011100011…
…110001111011000
3212220102121211000
4110130132033120
51200302230331
654011505000
711333343645
oct2434361730
9786377730
10343008216
1116668a171
1296a58160
13560a8955
14337aadcc
15201a70e6
hex1471e3d8

343008216 has 64 divisors (see below), whose sum is σ = 1002960000. Its totient is φ = 108317088.

The previous prime is 343008203. The next prime is 343008233. The reversal of 343008216 is 612800343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 343008216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37686 + ... + 45893.

It is an arithmetic number, because the mean of its divisors is an integer number (15671250).

Almost surely, 2343008216 is an apocalyptic number.

343008216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

343008216 is an abundant number, since it is smaller than the sum of its proper divisors (659951784).

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

343008216 is a wasteful number, since it uses less digits than its factorization.

343008216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83613 (or 83603 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 343008216 is about 18520.4809872746. The cubic root of 343008216 is about 700.0055890710.

Adding to 343008216 its reverse (612800343), we get a palindrome (955808559).

The spelling of 343008216 in words is "three hundred forty-three million, eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 83579 167158 250737 334316 501474 668632 752211 1002948 1504422 1588001 2005896 2256633 3008844 3176002 4513266 4764003 6017688 6352004 9026532 9528006 12704008 14292009 18053064 19056012 28584018 38112024 42876027 57168036 85752054 114336072 171504108 343008216