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34216056 = 23327292341
BaseRepresentation
bin1000001010000…
…1100001111000
32101101100121100
42002201201320
532224403211
63221211400
7563555160
oct202414170
971340540
1034216056
1118350036
12b560b60
13711ccb4
1447895a0
15300d156
hex20a1878

34216056 has 96 divisors (see below), whose sum is σ = 109605600. Its totient is φ = 9434880.

The previous prime is 34216001. The next prime is 34216067. The reversal of 34216056 is 65061243.

34216056 is a `hidden beast` number, since 34 + 21 + 605 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13446 + ... + 15786.

It is an arithmetic number, because the mean of its divisors is an integer number (1141725).

Almost surely, 234216056 is an apocalyptic number.

34216056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34216056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54802800).

34216056 is an abundant number, since it is smaller than the sum of its proper divisors (75389544).

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

34216056 is a wasteful number, since it uses less digits than its factorization.

34216056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34216056 is about 5849.4492048397. The cubic root of 34216056 is about 324.6459450045.

Adding to 34216056 its reverse (65061243), we get a palindrome (99277299).

The spelling of 34216056 in words is "thirty-four million, two hundred sixteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2341 2436 3654 4682 4872 7023 7308 9364 14046 14616 16387 18728 21069 28092 32774 42138 49161 56184 65548 67889 84276 98322 131096 135778 147483 168552 196644 203667 271556 294966 393288 407334 475223 543112 589932 611001 814668 950446 1179864 1222002 1425669 1629336 1900892 2444004 2851338 3801784 4277007 4888008 5702676 8554014 11405352 17108028 34216056