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216340352 = 271918849
BaseRepresentation
bin11001110010100…
…01011110000000
3120002002020011122
430321101132000
5420340342402
633244531412
75234601614
oct1471213600
9502066148
10216340352
11101133788
1260550b68
1335a88a57
1420a37344
1513ed5ca2
hexce51780

216340352 has 32 divisors (see below), whose sum is σ = 433296000. Its totient is φ = 107591680.

The previous prime is 216340349. The next prime is 216340357. The reversal of 216340352 is 253043612.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216340357) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20024 + ... + 28872.

It is an arithmetic number, because the mean of its divisors is an integer number (13540500).

Almost surely, 2216340352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216648000).

216340352 is an abundant number, since it is smaller than the sum of its proper divisors (216955648).

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

216340352 is an equidigital number, since it uses as much as digits as its factorization.

216340352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9054 (or 9042 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 216340352 is about 14708.5129091965. The cubic root of 216340352 is about 600.3149753627.

Adding to 216340352 its reverse (253043612), we get a palindrome (469383964).

The spelling of 216340352 in words is "two hundred sixteen million, three hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 191 382 764 1528 3056 6112 8849 12224 17698 24448 35396 70792 141584 283168 566336 1132672 1690159 3380318 6760636 13521272 27042544 54085088 108170176 216340352