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34332056 = 23112291223
BaseRepresentation
bin1000001011110…
…1110110011000
32101121020201122
42002331312120
532242111211
63223504412
7564550313
oct202756630
971536648
1034332056
111841a200
12b5b8108
137160a35
1447b997a
1530326db
hex20bdd98

34332056 has 48 divisors (see below), whose sum is σ = 73256400. Its totient is φ = 15055040.

The previous prime is 34332049. The next prime is 34332071. The reversal of 34332056 is 65023343.

34332056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 27461 + ... + 28683.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 234332056 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 34332056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36628200).

34332056 is an abundant number, since it is smaller than the sum of its proper divisors (38924344).

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

34332056 is a wasteful number, since it uses less digits than its factorization.

34332056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

The square root of 34332056 is about 5859.3562786368. The cubic root of 34332056 is about 325.0124050492.

Adding to 34332056 its reverse (65023343), we get a palindrome (99355399).

The spelling of 34332056 in words is "thirty-four million, three hundred thirty-two thousand, fifty-six".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 121 232 242 319 484 638 968 1223 1276 2446 2552 3509 4892 7018 9784 13453 14036 26906 28072 35467 53812 70934 107624 141868 147983 283736 295966 390137 591932 780274 1183864 1560548 3121096 4291507 8583014 17166028 34332056