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216368340 = 22355961121
BaseRepresentation
bin11001110010110…
…00010011010100
3120002010122120020
430321120103110
5420342241330
633245305140
75235046326
oct1471302324
9502118506
10216368340
11101152811
12605651b0
1335a98706
1420a43616
1513ede210
hexce584d4

216368340 has 48 divisors (see below), whose sum is σ = 616109760. Its totient is φ = 56719360.

The previous prime is 216368329. The next prime is 216368359. The reversal of 216368340 is 43863612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27021 + ... + 34100.

It is an arithmetic number, because the mean of its divisors is an integer number (12835620).

Almost surely, 2216368340 is an apocalyptic number.

216368340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216368340 is an abundant number, since it is smaller than the sum of its proper divisors (399741420).

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

216368340 is a wasteful number, since it uses less digits than its factorization.

216368340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61192 (or 61190 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 216368340 is about 14709.4643002388. The cubic root of 216368340 is about 600.3408618742.

The spelling of 216368340 in words is "two hundred sixteen million, three hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 61121 122242 183363 244484 305605 366726 611210 733452 916815 1222420 1833630 3606139 3667260 7212278 10818417 14424556 18030695 21636834 36061390 43273668 54092085 72122780 108184170 216368340