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34332012 = 22351113219
BaseRepresentation
bin1000001011110…
…1110101101100
32101121020200000
42002331311230
532242111022
63223504300
7564550221
oct202756554
971536600
1034332012
111841a170
12b5b8090
137160a00
1447b9948
1530326ac
hex20bdd6c

34332012 has 216 divisors, whose sum is σ = 111908160. Its totient is φ = 9097920.

The previous prime is 34331989. The next prime is 34332019. The reversal of 34332012 is 21023343.

34332012 is a `hidden beast` number, since 343 + 320 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34332019) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1806939 + ... + 1806957.

Almost surely, 234332012 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 34332012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55954080).

34332012 is an abundant number, since it is smaller than the sum of its proper divisors (77576148).

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

34332012 is a wasteful number, since it uses less digits than its factorization.

34332012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34332012 is about 5859.3525239569. The cubic root of 34332012 is about 325.0122662037.

Adding to 34332012 its reverse (21023343), we get a palindrome (55355355).

It can be divided in two parts, 3433 and 2012, that added together give a palindrome (5445).

The spelling of 34332012 in words is "thirty-four million, three hundred thirty-two thousand, twelve".